Ralf Metzler
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Ralf Metzler's Degrees
- PhD Physics University of Cologne
- Masters Physics University of Cologne
- Bachelors Physics University of Cologne
Why Is Ralf Metzler Influential?
(Suggest an Edit or Addition)According to Wikipedia, Ralf Metzler is a physicist that focuses on nonequilibrium statistical physics and anomalous stochastic processes, with applications to biological and soft matter systems. He currently is chair professor for theoretical physics at the University of Potsdam and is an Alexander von Humboldt Polish Honorary Research Fellow.
Ralf Metzler's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- The random walk's guide to anomalous diffusion: a fractional dynamics approach (2000) (6873)
- TOPICAL REVIEW: The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics (2004) (1891)
- Anomalous diffusion models and their properties: non-stationarity, non-ergodicity, and ageing at the centenary of single particle tracking. (2014) (1072)
- From continuous time random walks to the fractional fokker-planck equation (2000) (618)
- Anomalous Diffusion and Relaxation Close to Thermal Equilibrium: A Fractional Fokker-Planck Equation Approach (1999) (585)
- Generalized viscoelastic models: their fractional equations with solutions (1995) (560)
- Fractional Calculus: An Introduction for Physicists (2012) (554)
- Relaxation in filled polymers: A fractional calculus approach (1995) (526)
- In vivo anomalous diffusion and weak ergodicity breaking of lipid granules. (2010) (494)
- Strange kinetics of single molecules in living cells (2012) (483)
- Boundary value problems for fractional diffusion equations (2000) (460)
- Fractional model equation for anomalous diffusion (1994) (387)
- Random time-scale invariant diffusion and transport coefficients. (2008) (382)
- The generalized Cattaneo equation for the description of anomalous transport processes (1997) (326)
- Single particle tracking in systems showing anomalous diffusion: the role of weak ergodicity breaking. (2010) (285)
- First-passage phenomena and their applications (2014) (285)
- Fractional dynamics : recent advances (2011) (284)
- Brownian yet non-Gaussian diffusion: from superstatistics to subordination of diffusing diffusivities (2016) (262)
- Physical pictures of transport in heterogeneous media: Advection‐dispersion, random‐walk, and fractional derivative formulations (2002) (232)
- Deriving fractional Fokker-Planck equations from a generalised master equation (1999) (224)
- Lévy strategies in intermittent search processes are advantageous (2008) (215)
- Anomalous diffusion of phospholipids and cholesterols in a lipid bilayer and its origins. (2012) (212)
- Anomalous diffusion and ergodicity breaking in heterogeneous diffusion processes (2013) (209)
- Space- and time-fractional diffusion and wave equations, fractional Fokker-Planck equations, and physical motivation (2002) (190)
- Non-Brownian diffusion in lipid membranes: Experiments and simulations. (2016) (187)
- Fractional Brownian motion and motion governed by the fractional Langevin equation in confined geometries. (2010) (186)
- ANOMALOUS TRANSPORT IN EXTERNAL FIELDS : CONTINUOUS TIME RANDOM WALKS AND FRACTIONAL DIFFUSION EQUATIONS EXTENDED (1998) (181)
- Quantitative analysis of single particle trajectories: mean maximal excursion method. (2010) (178)
- Manipulation and Motion of Organelles and Single Molecules in Living Cells. (2017) (173)
- Protein Crowding in Lipid Bilayers Gives Rise to Non-Gaussian Anomalous Lateral Diffusion of Phospholipids and Proteins (2016) (171)
- Optimal target search on a fast-folding polymer chain with volume exchange. (2005) (168)
- Anomalous diffusion and power-law relaxation of the time averaged mean squared displacement in worm-like micellar solutions (2013) (165)
- How DNA coiling enhances target localization by proteins (2008) (164)
- Lévy flights do not always optimize random blind search for sparse targets (2014) (160)
- Facilitated diffusion with DNA coiling (2009) (157)
- FRACTIONAL DIFFUSION AND LEVY STABLE PROCESSES (1997) (157)
- Superdiffusion dominates intracellular particle motion in the supercrowded cytoplasm of pathogenic Acanthamoeba castellanii (2015) (153)
- Anomalous and normal diffusion of proteins and lipids in crowded lipid membranes. (2013) (152)
- Polymer translocation: the first two decades and the recent diversification. (2014) (150)
- Subdiffusive transport close to thermal equilibrium: from the langevin equation to fractional diffusion (2000) (146)
- The dynamical foundation of fractal stream chemistry: The origin of extremely long retention times (2001) (143)
- Introduction to the Theory of Lévy Flights (2008) (141)
- Scaled Brownian motion: a paradoxical process with a time dependent diffusivity for the description of anomalous diffusion. (2014) (139)
- Fractional diffusion equation with a generalized Riemann–Liouville time fractional derivative (2011) (126)
- Aging renewal theory and application to random walks (2013) (124)
- Aging and nonergodicity beyond the Khinchin theorem (2010) (123)
- Universal proximity effect in target search kinetics in the few-encounter limit (2016) (120)
- ON THE RIEMANN-LIOUVILLE FRACTIONAL CALCULUS AND SOME RECENT APPLICATIONS (1995) (119)
- From stretched exponential to inverse power-law: fractional dynamics, Cole-Cole relaxation processes, and beyond (2002) (118)
- Anomalous, non-Gaussian tracer diffusion in crowded two-dimensional environments (2015) (116)
- Lévy Flights in a Steep Potential Well (2003) (115)
- First passages in bounded domains: when is the mean first passage time meaningful? (2012) (114)
- Stationary states of non-linear oscillators driven by Lévy noise (2002) (111)
- Bifurcation, bimodality, and finite variance in confined Lévy flights. (2003) (105)
- Driven polymer translocation through nanopores: Slow-vs.-fast dynamics (2009) (104)
- Fractional relaxation processes and fractional rheological models for the description of a class of viscoelastic materials (2003) (102)
- Distance matters: the impact of gene proximity in bacterial gene regulation. (2013) (98)
- Population splitting, trapping, and non-ergodicity in heterogeneous diffusion processes. (2013) (98)
- First passage time distribution in heterogeneity controlled kinetics: going beyond the mean first passage time (2015) (98)
- Aging effects and population splitting in single-particle trajectory averages. (2013) (98)
- Generalized facilitated diffusion model for DNA-binding proteins with search and recognition states. (2012) (97)
- When translocation dynamics becomes anomalous. (2003) (97)
- Leapover lengths and first passage time statistics for Lévy flights. (2007) (97)
- Anomalous diffusion models and their properties (2014) (97)
- Fractal dimension and localization of DNA knots. (2006) (95)
- Non-universal tracer diffusion in crowded media of non-inert obstacles. (2014) (92)
- Anomalous diffusion in correlated continuous time random walks (2009) (92)
- Inequivalence of time and ensemble averages in ergodic systems: exponential versus power-law relaxation in confinement. (2012) (90)
- Strong defocusing of molecular reaction times results from an interplay of geometry and reaction control (2018) (89)
- Non-Gaussian, non-ergodic, and non-Fickian diffusion of tracers in mucin hydrogels. (2019) (89)
- Target search of N sliding proteins on a DNA. (2005) (87)
- First passage and arrival time densities for Lévy flights and the failure of the method of images (2003) (86)
- Subdiffusion and weak ergodicity breaking in the presence of a reactive boundary. (2007) (84)
- Random diffusivity from stochastic equations: comparison of two models for Brownian yet non-Gaussian diffusion (2018) (83)
- Generalized chapman-kolmogorov equation: A unifying approach to the description of anomalous transport in external fields (2000) (83)
- Distributed-order diffusion equations and multifractality: Models and solutions. (2015) (82)
- Towards deterministic equations for Lévy walks: the fractional material derivative. (2002) (81)
- Noisy continuous time random walks. (2013) (81)
- Generalized space–time fractional diffusion equation with composite fractional time derivative (2012) (79)
- Diffusion and Fokker-Planck-Smoluchowski Equations with Generalized Memory Kernel (2015) (79)
- Particle invasion, survival, and non-ergodicity in 2D diffusion processes with space-dependent diffusivity. (2013) (78)
- FRACTIONAL DIFFUSION, WAITING-TIME DISTRIBUTIONS, AND CATTANEO-TYPE EQUATIONS (1998) (76)
- Spectral Content of a Single Non-Brownian Trajectory (2019) (73)
- Equilibrium shapes of flat knots. (2001) (72)
- Supercoiling induces denaturation bubbles in circular DNA. (2010) (71)
- From continuous time random walks to the generalized diffusion equation (2018) (71)
- Crossover from anomalous to normal diffusion: truncated power-law noise correlations and applications to dynamics in lipid bilayers (2018) (69)
- Diffusion on random-site percolation clusters: theory and NMR microscopy experiments with model objects. (2001) (68)
- Hierarchies and logarithmic oscillations in the temporal relaxation patterns of proteins and other complex systems. (1999) (68)
- In Vivo Facilitated Diffusion Model (2013) (68)
- Kinetics of polymer looping with macromolecular crowding: effects of volume fraction and crowder size. (2014) (67)
- Objective comparison of methods to decode anomalous diffusion (2021) (66)
- Facilitation of polymer looping and giant polymer diffusivity in crowded solutions of active particles (2015) (66)
- Anomalous transport in disordered systems under the influence of external fields (1999) (66)
- AGGREGATE MODEL OF LIQUIDS (1997) (65)
- Barrier crossing of a Lévy flight (2005) (65)
- Collective dynamics effect transient subdiffusion of inert tracers in flexible gel networks (2014) (65)
- Quantifying non-ergodicity of anomalous diffusion with higher order moments (2017) (65)
- Underdamped scaled Brownian motion: (non-)existence of the overdamped limit in anomalous diffusion (2016) (65)
- Barrier crossing driven by Lévy noise: universality and the role of noise intensity. (2006) (65)
- Accelerating Brownian motion: A fractional dynamics approach to fast diffusion (2000) (64)
- Nonergodicity, fluctuations, and criticality in heterogeneous diffusion processes. (2014) (64)
- Power spectral density of a single Brownian trajectory: what one can and cannot learn from it (2018) (64)
- Sequence sensitivity of breathing dynamics in heteropolymer DNA. (2006) (62)
- Correlated continuous-time random walks in external force fields. (2012) (61)
- DNA bubble dynamics as a quantum Coulomb problem. (2006) (61)
- Bayesian analysis of single-particle tracking data using the nested-sampling algorithm: maximum-likelihood model selection applied to stochastic-diffusivity data. (2018) (61)
- Diffusion mechanisms of localised knots along a polymer (2006) (61)
- Finite-time effects and ultraweak ergodicity breaking in superdiffusive dynamics. (2012) (60)
- Diffusion of Integral Membrane Proteins in Protein-Rich Membranes. (2017) (59)
- Polymer Looping Is Controlled by Macromolecular Crowding, Spatial Confinement, and Chain Stiffness. (2015) (58)
- Fundamentals of Lévy Flight Processes (2006) (58)
- Multiple time scales for dispersive kinetics in early events of peptide folding (1998) (56)
- Gaussianity Fair: The Riddle of Anomalous yet Non-Gaussian Diffusion. (2017) (55)
- Denaturation transition of stretched DNA. (2007) (55)
- Anomalous diffusion in time-fluctuating non-stationary diffusivity landscapes. (2016) (54)
- Kramers-like escape driven by fractional Gaussian noise. (2010) (54)
- Mixing and segregation of ring polymers: spatial confinement and molecular crowding effects (2014) (53)
- Breathing dynamics in heteropolymer DNA. (2006) (51)
- Real sequence effects on the search dynamics of transcription factors on DNA (2015) (51)
- Some fundamental aspects of Lévy flights (2007) (50)
- Chaperone-assisted translocation (2004) (50)
- Towards a full quantitative description of single-molecule reaction kinetics in biological cells. (2018) (49)
- First passage time statistics for two-channel diffusion (2016) (48)
- Analysis of short subdiffusive time series: scatter of the time-averaged mean-squared displacement (2010) (48)
- Correlation functions for the fractional generalized Langevin equation in the presence of internal and external noise (2014) (47)
- How Molecular Motors Work in the Crowded Environment of Living Cells: Coexistence and Efficiency of Normal and Anomalous Transport (2014) (47)
- First passage and first hitting times of Lévy flights and Lévy walks (2019) (47)
- Quantifying supercoiling-induced denaturation bubbles in DNA (2012) (47)
- Levy Statistics and Anomalous Transport: Levy Flights and Subdiffusion (2007) (46)
- Ergodicity breaking, ageing, and confinement in generalized diffusion processes with position and time dependent diffusivity (2015) (46)
- Ultraslow scaled Brownian motion (2015) (46)
- Fractional Calculus Approach to the Statistical Characterization of Random Variables and Vectors (2009) (45)
- Bubble dynamics in DNA (2003) (45)
- Full distribution of first exit times in the narrow escape problem (2019) (45)
- Microscopic origin of the logarithmic time evolution of aging processes in complex systems. (2013) (44)
- Quantifying the non-ergodicity of scaled Brownian motion (2015) (44)
- Superstatistics and non-Gaussian diffusion (2020) (44)
- Natural cutoff in Lévy flights caused by dissipative nonlinearity. (2005) (43)
- Fractional Brownian motion with random diffusivity: emerging residual nonergodicity below the correlation time (2020) (43)
- Bulk-mediated diffusion on a planar surface: full solution. (2012) (42)
- The future is noisy: the role of spatial fluctuations in genetic switching. (2001) (42)
- Beyond monofractional kinetics (2017) (42)
- First passage statistics for diffusing diffusivity (2018) (42)
- Non-Gaussianity, population heterogeneity, and transient superdiffusion in the spreading dynamics of amoeboid cells. (2018) (42)
- Aging scaled Brownian motion. (2015) (41)
- Quantifying non-ergodic dynamics of force-free granular gases. (2015) (41)
- Ageing and confinement in non-ergodic heterogeneous diffusion processes (2014) (41)
- Inverted critical adsorption of polyelectrolytes in confinement. (2015) (40)
- Polymer translocation into a fluidic channel through a nanopore. (2010) (40)
- Molecular motors pulling cargos in the viscoelastic cytosol: how power strokes beat subdiffusion. (2014) (40)
- Fractional Brownian motion in a finite interval: correlations effect depletion or accretion zones of particles near boundaries (2019) (39)
- First passage behaviour of fractional Brownian motion in two-dimensional wedge domains (2011) (39)
- Critical adsorption of polyelectrolytes onto charged Janus nanospheres. (2014) (39)
- In vivo non‐specific binding of λ CI and Cro repressors is significant (2004) (39)
- The chain sucker: translocation dynamics of a polymer chain into a long narrow channel driven by longitudinal flow. (2011) (38)
- Velocity and displacement correlation functions for fractional generalized Langevin equations (2012) (38)
- Stochastic foundation of normal and anomalous Cattaneo-type transport (1999) (37)
- Diffusion inside living human cells (2012) (37)
- Localisation and universal fluctuations in ultraslow diffusion processes (2014) (37)
- Directed motion emerging from two coupled random processes: translocation of a chain through a membrane nanopore driven by binding proteins (2005) (36)
- Strange interfacial molecular dynamics (2019) (36)
- Universal Relation between Instantaneous Diffusivity and Radius of Gyration of Proteins in Aqueous Solution. (2020) (36)
- Superstatistical generalised Langevin equation: non-Gaussian viscoelastic anomalous diffusion (2017) (36)
- Molecular motors transporting cargos in viscoelastic cytosol: how to beat subdiffusion with a power stroke? (2013) (36)
- Superdiffusive Klein-Kramers equation: Normal and ano malous time evolution and Lévy walk moments (2002) (36)
- Single DNA conformations and biological function (2006) (35)
- Fractional diffusion: exact representations of spectral functions (1997) (35)
- Random Multi-Hopper Model. Super-Fast Random Walks on Graphs (2016) (35)
- ANALYSIS OF SINGLE PARTICLE TRAJECTORIES: FROM NORMAL TO ANOMALOUS DIFFUSION ∗ (2009) (35)
- Bulk-mediated surface diffusion along a cylinder: Propagators and crossovers. (2008) (35)
- Comb model with slow and ultraslow diffusion (2015) (34)
- Sequence dependence of the binding energy in chaperone-driven polymer translocation through a nanopore. (2011) (34)
- Entropy loss in long-distance DNA looping. (2002) (33)
- Nonspecific binding of the OR repressors CI and Cro of bacteriophage lambda. (2004) (33)
- Bi-asymptotic fractals: Fractals between lower and upper bounds (1998) (33)
- Linear response, fluctuation-dissipation, and finite-system-size effects in superdiffusion. (2013) (33)
- How subdiffusion changes the kinetics of binding to a surface. (2009) (32)
- Severe slowing-down and universality of the dynamics in disordered interacting many-body systems: ageing and ultraslow diffusion (2014) (32)
- The fractional Fokker-Planck equation: dispersive transport in an external force field (2000) (32)
- Facilitated Diffusion of Transcription Factor Proteins with Anomalous Bulk Diffusion. (2017) (31)
- Brownian motion and beyond: first-passage, power spectrum, non-Gaussianity, and anomalous diffusion (2019) (31)
- First-passage statistics for aging diffusion in systems with annealed and quenched disorder. (2014) (31)
- Universality classes for asymptotic behavior of relaxation processes in systems with dynamical disorder: Dynamical generalizations of stretched exponential (1996) (31)
- Sensitivity of OR in Phage λ (2004) (30)
- Single-trajectory spectral analysis of scaled Brownian motion (2019) (30)
- Tightness of slip-linked polymer chains. (2002) (30)
- APPLICATIONS OF FRACTIONAL CALCULUS TECHNIQUES TO PROBLEMS IN BIOPHYSICS (2000) (29)
- From single-particle stochastic kinetics to macroscopic reaction rates: fastest first-passage time of N random walkers (2020) (29)
- Non-homogeneous random walks, generalised master equations, fractional Fokker-Planck equations, and the generalised Kramers-Moyal expansion (2001) (29)
- Time averaging, ageing and delay analysis of financial time series (2017) (29)
- Unexpected crossovers in correlated random-diffusivity processes (2020) (29)
- Bayesian nested sampling analysis of single particle tracking data: maximum likelihood model selection applied to stochastic diffusivity data (2018) (28)
- The Future is Noisy (2001) (28)
- First passage time of N excluded-volume particles on a line. (2005) (28)
- Correlated continuous time random walks: combining scale-invariance with long-range memory for spatial and temporal dynamics (2013) (27)
- Polymer translocation out of confined environments. (2009) (27)
- Stochastic approach to DNA breathing dynamics (2005) (27)
- Correlated continuous-time random walks—scaling limits and Langevin picture (2012) (27)
- Particle dynamics and transport enhancement in a confined channel with position-dependent diffusivity (2020) (27)
- Transient aging in fractional Brownian and Langevin-equation motion. (2013) (27)
- Coexistence and efficiency of normal and anomalous transport by molecular motors in living cells (2013) (27)
- Anomalous Stochastic Processes in the Fractional Dynamics Framework: Fokker‐Planck Equation, Dispersive Transport, and Non‐Exponential Relaxation (2007) (27)
- Universal spectral features of different classes of random-diffusivity processes (2019) (26)
- Biased continuous-time random walks for ordinary and equilibrium cases: facilitation of diffusion, ergodicity breaking and ageing. (2018) (26)
- Binding dynamics of single-stranded DNA binding proteins to fluctuating bubbles in breathing DNA (2005) (26)
- Sensing viruses by mechanical tension of DNA in responsive hydrogels (2013) (26)
- The diffusion of doxorubicin drug molecules in silica nanoslits is non-Gaussian, intermittent and anticorrelated. (2020) (26)
- Area coverage of radial Lévy flights with periodic boundary conditions. (2012) (25)
- Kramers' escape problem with anomalous kinetics: non-exponential decay of the survival probability (2000) (25)
- Anomalous diffusion, nonergodicity, and ageing for exponentially and logarithmically time-dependent diffusivity: striking differences for massive versus massless particles (2021) (25)
- Non-uniqueness of the first passage time density of Lévy random processes (2004) (25)
- Probability density of the fractional Langevin equation with reflecting walls. (2019) (24)
- Search reliability and search efficiency of combined Lévy–Brownian motion: long relocations mingled with thorough local exploration (2016) (24)
- Time averages and their statistical variation for the Ornstein-Uhlenbeck process: Role of initial particle distributions and relaxation to stationarity. (2018) (24)
- Variance-corrected Michaelis-Menten equation predicts transient rates of single-enzyme reactions and response times in bacterial gene-regulation (2015) (24)
- Geometry controlled anomalous diffusion in random fractal geometries: looking beyond the infinite cluster. (2015) (23)
- Aging underdamped scaled Brownian motion: Ensemble- and time-averaged particle displacements, nonergodicity, and the failure of the overdamping approximation. (2016) (23)
- Single DNA denaturation and bubble dynamics (2009) (23)
- Codifference can detect ergodicity breaking and non-Gaussianity (2019) (23)
- Resetting dynamics in a confining potential (2020) (23)
- First-passage properties of asymmetric Lévy flights (2019) (23)
- Generalised Geometric Brownian Motion: Theory and Applications to Option Pricing (2020) (23)
- Biased continuous time random walks between parallel plates (1997) (22)
- Comparison of pure and combined search strategies for single and multiple targets (2017) (22)
- A solution to the subdiffusion-efficiency paradox: Inactive states enhance reaction efficiency at subdiffusion conditions in living cells (2012) (22)
- Master equation approach to DNA breathing in heteropolymer DNA. (2006) (22)
- NMR Studies of Anomalous Diffusion in Biological Tissues: Experimental Observation of Lévy Stable Processes (1998) (22)
- Optimization and universality of Brownian search in a basic model of quenched heterogeneous media. (2015) (22)
- Effects of the target aspect ratio and intrinsic reactivity onto diffusive search in bounded domains (2017) (21)
- Critical adsorption of polyelectrolytes onto planar and convex highly charged surfaces: the nonlinear Poisson–Boltzmann approach (2016) (21)
- Signal focusing through active transport. (2015) (21)
- A self-avoiding walk with neural delays as a model of fixational eye movements (2017) (21)
- Diffusion of finite-size particles in channels with random walls (2013) (21)
- Dynamics of DNA breathing: weak noise analysis, finite time singularity, and mapping onto the quantum Coulomb problem. (2007) (21)
- Manipulating single enzymes by an external harmonic force. (2006) (21)
- Ergodicity breaking and particle spreading in noisy heterogeneous diffusion processes. (2015) (21)
- Random coefficient autoregressive processes describe Brownian yet non-Gaussian diffusion in heterogeneous systems (2019) (21)
- First-passage problem for stochastic differential equations with combined parametric Gaussian and Lévy white noises via path integral method (2021) (20)
- Anomalous diffusion and nonergodicity for heterogeneous diffusion processes with fractional Gaussian noise. (2020) (20)
- Transient superdiffusion of polydisperse vacuoles in highly motile amoeboid cells. (2019) (20)
- Coupled dynamics of DNA breathing and of proteins that selectively bind to single-stranded DNA. (2005) (20)
- Self-subdiffusion in solutions of star-shaped crowders: non-monotonic effects of inter-particle interactions (2015) (20)
- Diffusion of finite-size particles in two-dimensional channels with random wall configurations. (2014) (20)
- Determining the DNA stability parameters for the breathing dynamics of heterogeneous DNA by stochastic optimization. (2011) (19)
- Crossover dynamics from superdiffusion to subdiffusion: Models and solutions (2020) (19)
- Polymer translocation through nanopores: Parking lot problems, scaling laws and their breakdown (2010) (19)
- Number fluctuations and the threshold model of kinetic switches (2002) (19)
- And did he search for you, and could not find you? (2009) (18)
- Towards the molecular workshop: entropy-driven designer molecules, entropy activation, and nanomechanical devices (2002) (18)
- Effective surface motion on a reactive cylinder of particles that perform intermittent bulk diffusion. (2011) (18)
- Encounter distribution of two random walkers on a finite one-dimensional interval (2011) (18)
- Space-fractional Fokker–Planck equation and optimization of random search processes in the presence of an external bias (2014) (18)
- Burst statistics in an early biofilm quorum sensing model: the role of spatial colony-growth heterogeneity (2019) (18)
- Comment on "Why is the DNA denaturation transition first order?". (2001) (18)
- Localization behaviour in a phenomenological model of three-dimensional knots (2002) (17)
- A single predator charging a herd of prey: effects of self volume and predator–prey decision-making (2016) (17)
- Critical adsorption of periodic and random polyampholytes onto charged surfaces. (2017) (17)
- Leveraging large-deviation statistics to decipher the stochastic properties of measured trajectories (2020) (17)
- Reflected fractional Brownian motion in one and higher dimensions. (2020) (17)
- Time-averaging and emerging nonergodicity upon resetting of fractional Brownian motion and heterogeneous diffusion processes (2021) (16)
- Temperature-sensitive protein-DNA dimerizers. (2005) (16)
- Force-extension relations for polymers with sliding links. (2002) (16)
- First Passage Behavior of Multi-Dimensional Fractional Brownian Motion and Application to Reaction Phenomena (2013) (16)
- Residual mean first-passage time for jump processes: theory and applications to Lévy flights and fractional Brownian motion (2011) (15)
- Anomalous Diffusion and Fractional Transport Equations (2011) (15)
- Stochastic dynamics driven by combined Lévy–Gaussian noise: fractional Fokker–Planck–Kolmogorov equation and solution (2020) (15)
- Tight and loose shapes in flat entangled dense polymers (2003) (15)
- Bubble coalescence in breathing DNA: Two vicious walkers in opposite potentials (2006) (15)
- Modelling experimentally measured of ciprofloxacin antibiotic diffusion in Pseudomonas aeruginosa biofilm formed in artificial sputum medium (2020) (15)
- Polymer translocation into laterally unbounded confined environments. (2010) (15)
- Preface: new trends in first-passage methods and applications in the life sciences and engineering (2020) (15)
- Stochastic resetting by a random amplitude. (2021) (14)
- Serotonergic Axons as Fractional Brownian Motion Paths: Insights Into the Self-Organization of Regional Densities (2019) (14)
- First passage time distribution of chaperone driven polymer translocation through a nanopore: homopolymer and heteropolymer cases. (2011) (14)
- Interactions of rod-like particles on responsive elastic sheets. (2016) (14)
- Deformation propagation in responsive polymer network films. (2014) (14)
- Dynamic Approach to DNA Breathing (2005) (14)
- Preface: Marian Smoluchowski’s 1916 paper—a century of inspiration (2017) (14)
- AnDi: The Anomalous Diffusion Challenge (2020) (14)
- Intermembrane docking reactions are regulated by membrane curvature. (2011) (14)
- Lévy meets Boltzmann: strange initial conditions for Brownian and fractional Fokker–Planck equations (2001) (13)
- Income inequality and mobility in geometric Brownian motion with stochastic resetting: theoretical results and empirical evidence of non-ergodicity (2021) (13)
- Heterogeneous diffusion with stochastic resetting (2022) (13)
- First passage time moments of asymmetric Lévy flights (2020) (12)
- Ageing effects in ultraslow continuous time random walks (2017) (12)
- Exact solution of a linear molecular motor model driven by two-step fluctuations and subject to protein friction. (2003) (12)
- Ergodicity, rejuvenation, enhancement, and slow relaxation of diffusion in biased continuous-time random walks. (2018) (12)
- Persistent Sinai-type diffusion in Gaussian random potentials with decaying spatial correlations. (2017) (12)
- Ageing first passage time density in continuous time random walks and quenched energy landscapes (2015) (11)
- The role of ergodicity in anomalous stochastic processes: analysis of single-particle trajectories (2012) (11)
- In vivo non-specific binding of lambda CI and Cro repressors is significant. (2004) (11)
- Diffusion of antibiotics through a biofilm in the presence of diffusion and absorption barriers. (2020) (11)
- Trajectory to trajectory fluctuations in first-passage phenomena in bounded domains (2013) (11)
- Chemical Kinetics (2019) (11)
- How a finite potential barrier decreases the mean first-passage time (2012) (11)
- Ageing Scher–Montroll Transport (2016) (11)
- Spurious ergodicity breaking in normal and fractional Ornstein–Uhlenbeck process (2020) (11)
- Conformational properties of complex polymers: rosette versus star-like structures (2014) (11)
- Aging dynamics in interacting many-body systems (2013) (11)
- \FRACTIONAL TUNING" OF THE RICCATI EQUATION (1997) (11)
- Nonergodicity of reset geometric Brownian motion. (2022) (11)
- Unraveling the Mechanism of a Potent Transcriptional Activator* (2005) (11)
- Weak ergodicity breaking and ageing in anomalous diffusion (2015) (10)
- Backbone diffusion and first-passage dynamics in a comb structure with confining branches under stochastic resetting (2021) (10)
- Helical packaging of semiflexible polymers in bacteriophages (2004) (10)
- Acceleration of bursty multiprotein target search kinetics on DNA by colocalisation. (2018) (10)
- Exact first-passage time distributions for three random diffusivity models (2020) (10)
- The anomalous diffusion challenge: single trajectory characterisation as a competition (2020) (10)
- Continuous time random walk in a velocity field: role of domain growth, Galilei-invariant advection-diffusion, and kinetics of particle mixing (2020) (10)
- Active transport improves the precision of linear long distance molecular signalling (2016) (9)
- Fluctuations of random walks in critical random environments. (2018) (9)
- Unravelling the origins of anomalous diffusion: From molecules to migrating storks (2021) (9)
- Fractional Brownian motion in superharmonic potentials and non-Boltzmann stationary distributions (2021) (9)
- Heterogeneous diffusion processes and nonergodicity with Gaussian colored noise in layered diffusivity landscapes. (2020) (9)
- Classification of anomalous diffusion in animal movement data using power spectral analysis (2022) (9)
- of single molecules in living cells (2012) (8)
- Sensitivity of OR in phage lambda. (2004) (8)
- Lévy walk dynamics in an external harmonic potential. (2020) (8)
- GENERALIZED HUBER KINETICS FOR NONLINEAR RATE PROCESSES IN DISORDERED SYSTEMS : NONLINEAR ANALOGS OF STRETCHED EXPONENTIAL (1998) (8)
- Fractional Klein-Kramers equation for superdiffusive transport: normal versus anomalous time evolution in a differential L{\'e}vy walk model (2001) (8)
- Sensing DNA - DNA as nanosensor: a perspective towards nanobiotechnology (2005) (8)
- Exact distributions of the maximum and range of random diffusivity processes (2020) (7)
- The Anomalous Diffusion Challenge dataset (2020) (7)
- Inertia triggers nonergodicity of fractional Brownian motion (2021) (7)
- Forever ageing (2015) (7)
- Universality of delay-time averages for financial time series: analytical results, computer simulations, and analysis of historical stock-market prices (2021) (7)
- Ageing single file motion (2014) (7)
- Bayesian deep learning for error estimation in the analysis of anomalous diffusion (2022) (7)
- Finding the optimum activation energy in DNA breathing dynamics: a simulated annealing approach (2009) (7)
- Transition path dynamics across rough inverted parabolic potential barrier (2020) (7)
- Gumbel central limit theorem for max-min and min-max. (2019) (7)
- Scaled geometric Brownian motion features sub- or superexponential ensemble-averaged, but linear time-averaged mean-squared displacements. (2021) (7)
- Wealth distribution, Pareto law, and stretched exponential decay of money: Computer simulations analysis of agent-based models (2018) (7)
- Lévy noise-driven escape from arctangent potential wells. (2020) (7)
- Search efficiency in the Adam–Delbrück reduction-of-dimensionality scenario versus direct diffusive search (2022) (6)
- Characterising stochastic motion in heterogeneous media driven by coloured non-Gaussian noise (2021) (6)
- Anomalous diffusion, aging, and nonergodicity of scaled Brownian motion with fractional Gaussian noise: overview of related experimental observations and models. (2022) (6)
- Conservative random walks in confining potentials (2018) (6)
- Stochastic optimization-based study of dimerization kinetics (2013) (6)
- Sensitivity of O R in Phage l (2004) (6)
- Generalised Diffusion and Wave Equations: Recent Advances (2019) (6)
- Critical adsorption of multiple polyelectrolytes onto a nanosphere: splitting the adsorption–desorption transition boundary (2020) (6)
- Blinking statistics of a molecular beacon triggered by end-denaturation of DNA (2005) (6)
- Bubble merging in breathing DNA as a vicious walker problem in opposite potentials. (2009) (6)
- Money distribution in agent-based models with position-exchange dynamics: the Pareto paradigm revisited (2019) (6)
- From continuous-time random walks to the fractional Jeffreys equation: Solution and properties (2021) (6)
- Bayesian inference of scaled versus fractional Brownian motion (2021) (6)
- Transition path properties for one-dimensional systems driven by Poisson white noise (2020) (5)
- Distribution of first-reaction times with target regions on boundaries of shell-like domains (2021) (5)
- Universal proximity effect in target search kinetics (2016) (5)
- The Dance of Water Molecules around Proteins (2018) (5)
- Closed-form multi-dimensional solutions and asymptotic behaviors for subdiffusive processes with crossovers: I. Retarding case (2021) (5)
- Stochastic harmonic trapping of a Lévy walk: transport and first-passage dynamics under soft resetting strategies (2022) (5)
- Comment on "Anomalous heat conduction and anomalous diffusion in one-dimensional systems". (2004) (5)
- Steering self-organisation through confinement (2022) (5)
- Two states do not necessarily correspond to a two-state transition: van’t Hoff enthalpy in the case of a small entropy difference between the states (2004) (5)
- Inertia triggers nonergodicity of fractional Brownian motion. (2021) (4)
- Electrostatic effects in living cells (2013) (4)
- Publisher’s Note: Inequivalence of time and ensemble averages in ergodic systems: Exponential versus power-law relaxation in confinement [Phys. Rev. E 85 , 021147 (2012)] (2012) (4)
- Transport in exclusion processes with one-step memory: density dependence and optimal acceleration (2019) (4)
- Ageing effects in single particle trajectory averages (2012) (4)
- Asymmetric Lévy Flights Are More Efficient in Random Search (2022) (4)
- The advantage of L\'evy strategies in intermittent search processes (2007) (4)
- First passage dynamics of stochastic motion in heterogeneous media driven by correlated white Gaussian and coloured non-Gaussian noises (2021) (4)
- The RARE model: A generalized approach to random relaxation processes in disordered systems. (2012) (4)
- Model of ciprofloxacin subdiffusion in Pseudomonas aeruginosa biofilm formed in artificial sputum medium (2020) (4)
- Poisson-process limit laws yield Gumbel max-min and min-max. (2019) (4)
- Adsorption of Lysozyme Into a Charged Confining Pore (2021) (4)
- A molecular relay race: sequential first-passage events to the terminal reaction centre in a cascade of diffusion controlled processes (2021) (4)
- Fractional Klein-Kramers Equations: Subdiffusive and Superdiffusive Cases (2013) (4)
- Speeding up the first-passage for subdiffusion by introducing a finite potential barrier (2013) (4)
- Molecular switching with nonexponential relaxation patterns: a random walk approach. (2000) (3)
- Non-Gaussian, transiently anomalous and ergodic self-diffusion of flexible dumbbells in crowded two-dimensional environments: coupled translational and rotational motions (2021) (3)
- Sensitivity of phage lambda upon variations of the Gibbs free energy (2003) (3)
- Keeping up with the noise (2009) (3)
- Tuning of the Dielectric Relaxation and Complex Susceptibility in a System of Polar Molecules: A Generalised Model Based on Rotational Diffusion with Resetting (2022) (3)
- Superstatistical generalised Langevin equation (2018) (3)
- Rate equations, spatial moments, and concentration profiles for mobile-immobile models with power-law and mixed waiting time distributions. (2022) (3)
- Publisher's Note: Area coverage of radial Lévy flights with periodic boundary conditions [Phys. Rev. E 87, 042136 (2013)] (2013) (3)
- Restoring ergodicity of stochastically reset anomalous-diffusion processes (2022) (3)
- Time-averaging and nonergodicity of reset geometric Brownian motion with drift. (2022) (3)
- Bayesian inference with scaled Brownian motion (2022) (3)
- Fractional characteristic functions, and a fractional calculus approach for moments of random variables (2022) (3)
- Driven polymer translocation into a channel: Isoflux tension propagation theory and Langevin dynamics simulations (2022) (3)
- Numerical approach to unbiased and driven generalized elastic model. (2013) (3)
- Trapping of diffusing particles by periodic absorbing rings on a cylindrical tube. (2019) (3)
- From the Langevin equation to the fractional Fokker–Planck equation (2000) (3)
- Knots , bubbles , untying , and breathing : probing the topology of DNA and other biomolecules (2)
- Quantification of noise in bifunctionality-induced post-translational modification. (2012) (2)
- Stochastic dynamics with multiplicative dichotomic noise: Heterogeneous telegrapher’s equation, anomalous crossovers and resetting (2022) (2)
- Capturing multifractality of pressure fluctuations in thermoacoustic systems using fractional-order derivatives. (2021) (2)
- Closed-form multi-dimensional solutions and asymptotic behaviours for subdiffusive processes with crossovers: II. Accelerating case (2022) (2)
- Bulk-mediated Surface Diffusion on a Cylinder in the Fast Exchange Limit (2013) (2)
- Correlations and transport in exclusion processes with general finite memory (2019) (2)
- Boundary value problems for fractional di usion equations (2000) (2)
- Buckling transitions and soft-phase invasion of two-component icosahedral shells. (2020) (2)
- Towards a robust criterion of anomalous diffusion (2022) (2)
- Anomalous Diffusion in Membranes and the Cytoplasm of Biological Cells (2017) (2)
- Velocity and displacement correlation functions for fractional generalized Langevin equations (2012) (2)
- Comparison of pure and combined search strategies for single and multiple targets (2017) (2)
- Breathing dynamics based parameter sensitivity analysis of hetero-polymeric DNA. (2014) (2)
- Confined Anomalous Dynamics: A Fractional Diffusion Approach (1998) (2)
- Adsorption of lysozyme into a charged confining pore. (2021) (2)
- Non-Gaussianity in stochastic transport: phenomenology and modelling (2022) (2)
- Erratum: Self-subdiffusion in solutions of star-shaped crowders: non-monotonic effects of inter-particle interactions (2015 New J. Phys. 17 113028) (2021) (2)
- Max-Min and Min-Max universally yield Gumbel (2018) (2)
- Anomalous statistics of random relaxations in random environments. (2013) (2)
- Extracting, quantifying, and comparing dynamical and biomechanical properties of living matter through single particle tracking. (2022) (1)
- Enhancement, slow relaxation, ergodicity and rejuvenation of diffusion in biased continuous-time random walks (2018) (1)
- Coupled dynamics of DNA-breathing and single-stranded DNA binding proteins (2004) (1)
- Editorial: Anomalous Transport: Applications, Mathematical Perspectives, and Big Data (2020) (1)
- Local equilibrium properties of ultraslow diffusion in the Sinai model (2022) (1)
- Non-Gaussian displacement distributions in models of heterogeneous active particle dynamics (2022) (1)
- Non-Ergodicity and Ageing in Anomalous Diffusion (2015) (1)
- Weak ergodicity breaking, irreproducibility, and ageing in anomalous diffusion processes (2014) (1)
- Oscillatory force autocorrelations in equilibrium odd-diffusive systems (2023) (1)
- Universal Max-Min and Min-Max Statistics (2018) (1)
- Modelling anomalous diffusion in semi-infinite disordered systems and porous media (2022) (1)
- Pitfalls In Single Particle Tracking In Living Cells (2009) (1)
- Apparent anomalous diffusion and non-Gaussian distributions in a simple mobile–immobile transport model with Poissonian switching (2022) (1)
- Topology matters: Some aspects of DNA physics (2003) (1)
- Coarse-Grained Simulations Of Lipid Membranes With Various Concentrations Of Embedded Proteins (2017) (1)
- Memory-multi-fractional Brownian motion with continuous correlations (2023) (1)
- Publisher's Note: “Breathing dynamics based parameter sensitivity analysis of hetero-polymeric DNA” [J. Chem. Phys.140, 125101 (2014)] (2014) (1)
- Wonderful world of single biopolymer thermodynamics. Comment on "Biophysical characterization of DNA binding from single molecule force measurements" by K.R. Chaurasiya et al. (2010) (1)
- BROWNIAN MOTION AND BEYOND (2019) (1)
- Searching with and against the stream: Levy or Brown? (2013) (1)
- Underdamped scaled Brownian motion (2016) (1)
- Corrigendum: Real sequence effects on the search dynamics of transcription factors on DNA (2015) (1)
- Reply to: Insufficient evidence for ageing in protein dynamics (2021) (1)
- Coupled dynamics of DNA-breathing and binding of proteins that selectively bind to single-stranded DNA (2004) (1)
- Generalized Khinchin Theorem for a Class of Aging Processes (2010) (0)
- 1 Gene regulation and facilitated diffusion (2017) (0)
- Stochastic Modeling of Anomalous Dynamics in Complex Physical and Biological Systems (2015) (0)
- Electrostatic effects in living cells Reply (2013) (0)
- FRONT MATTER (2019) (0)
- Transition dynamics in aging systems: microscopic origin of logarithmic time evolution (2012) (0)
- Money distribution in agent-based models with position-exchange dynamics: the Pareto paradigm revisited (2019) (0)
- Quantitative approach to facilitated diffusion with intersegmental jumping (2008) (0)
- Random diffusivity from stochastic equations (2018) (0)
- Superstatistics and non-Gaussian diffusion (2020) (0)
- Ageing single file motion (2014) (0)
- Quantifying non-ergodicity of anomalous diffusion with higher order moments (2017) (0)
- RSC_CP_C4CP02207F 3..14 (2014) (0)
- PHYSICAL REVIEW LETTERS (1999) (0)
- Brownian motion and beyond: first-passage, power spectrum, non-Gaussianity, and anomalous diusion (2019) (0)
- Polymer translocation into an attractive channel: Iso-flux tension propagation theory and Langevin dynamics simulations (2022) (0)
- Role of DNA conformation in gene regulation (2010) (0)
- Ergodicity violation and ageing: from granular gases to living cells (2014) (0)
- Mesoscale modelling of biomolecular diffusion in heterogeneous biological membranes. (2023) (0)
- motion in one and higher dimensions. (2020) (0)
- Erratum: Characterising stochastic motion in heterogeneous media driven by coloured non-Gaussian noise (2021 J. Phys. A: Math. Theor. 54 295002) (2021) (0)
- The dependence of the rate constant for isomerization on the competition between intramolecular vibrational relaxation and energy transfer to the bath : A stochastic model (2015) (0)
- Absence of stationary states and non-Boltzmann distributions of fractional Brownian motion in shallow external potentials (2022) (0)
- In vivo non-speci¢c binding of V CI and Cro repressors is signi¢cant (2004) (0)
- Role of DNA Conformations in Gene Regulation (2010) (0)
- CRITICAL SWITCHING BEHAVIOUR IN SPARSELY POPULATED SYSTEMS (2003) (0)
- Non-Gaussian, transiently anomalous, and ergodic self-diffusion of flexible dumbbells in crowded two-dimensional environments: Coupled translational and rotational motions (2021) (0)
- Infinite density and relaxation for Lévy walks in an external potential: Hermite polynomial approach. (2022) (0)
- Fluctuating diffusivity of intrinsically disordered proteins. (2023) (0)
- L\'evy noise-driven escape from arctan potential wells. (2020) (0)
- ec h ] 2 1 M ar 2 01 6 Comb model with slow and ultraslow diffusion (2021) (0)
- First-passage times in conical varying-width channels biased by a transverse gravitational force: Comparison of analytical and numerical results. (2022) (0)
- BACK MATTER (2019) (0)
- Anomalous diffusion, non-Gaussianity, and nonergodicity for subordinated fractional Brownian motion with a drift (2023) (0)
- Polymers of complex topologies: rosette vs. star-like structures (2014) (0)
- Ergodic characterization of non-ergodic anomalous diffusion processes (2023) (0)
- Predicting the Distribution of Serotonergic Axons: A Supercomputing Simulation of Reflected Fractional Brownian Motion in a 3D-Mouse Brain Model (2023) (0)
- A self-avoiding walk with neural delays as a model of fixational eye movements (2017) (0)
- A Lively Debate: the Eighth Circuit and the Forum Defendant Rule (2010) (0)
- [Talk 1] Anomalous diffusion in membranes and cytoplasm of biological cells (2016) (0)
- Ageing effects in ultraslow continuous time random walks (2017) (0)
- Non-renewal counting processes in systems with ageing waiting times: microscopic origin of logarithmic time evolution (2012) (0)
- Polymer physics of the cell (2009) (0)
- Random Walks on Networks with Centrality-Based Stochastic Resetting (2023) (0)
- Spatial Fluctuations and the Flipping of the Genetic Switch in a Cellular System (2000) (0)
- Preface: characterisation of physical processes from anomalous diffusion data (2023) (0)
- Sequence dependent sliding of a dimeric lac repressor protein along DNA; a molecular dynamic study (2018) (0)
- Viewpoint: Keeping up with the noise (2009) (0)
- Fractional Brownian motion and generalized Langevin equation motion in confined geometries (2010) (0)
- Lévy flights as subordination process: first passage times (2004) (0)
- Anomalous diffusion in membranes and cytoplasm of biologigal cells (2017) (0)
- ACCELERATING THROUGH A POTENTIAL LANDSCAPE: A FRACTIONAL DYNAMICS APPROACH TO ENHANCED MOTION IN AN EXTERNAL FORCE FIELD? (2001) (0)
- Erratum: Rate equations, spatial moments, and concentration profiles for mobile-immobile models with power-law and mixed waiting time distributions [Phys. Rev. E 105, 014105 (2022)]. (2022) (0)
- THEORY OF BACTERIAL GENE REGULATION SHOWS EFFECTS OF NU- CLEOID STRUCTURE AND GENE PROXIMITY (2012) (0)
- Diffusion of Proteins and Lipids in Protein-Rich Membranes (2018) (0)
- Diffusion inside living human cells (2012) (0)
- Book Review: "Physiology, Promiscuity and Prophecy at the Millennium: A Tale of Tails", by Bruce J. West (2001) (0)
- Dynamics of DNA conformations and DNA-protein interaction (2005) (0)
- Effects of active noise on transition-path dynamics (2023) (0)
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