Eli Barkai
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Most Influential Person Now
Israeli physicist
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Physics
Eli Barkai's Degrees
- Bachelors Physics Tel Aviv University
- Masters Physics Tel Aviv University
- PhD Physics Tel Aviv University
Why Is Eli Barkai Influential?
(Suggest an Edit or Addition)According to Wikipedia, Eli Barkai is a professor of physics at Bar-Ilan University, located in Ramat-Gan, Israel. Education Barkai studied physics in Tel Aviv University, completing his Ph.D. in 1998. He then joined Bob Silbey at MIT for his post-doctoral studies. In 2002 he joined the faculty of Notre Dame University and in 2004 returned to Israel to Bar Ilan University where he became a full professor in 2010.
Eli Barkai'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
- Anomalous diffusion models and their properties: non-stationarity, non-ergodicity, and ageing at the centenary of single particle tracking. (2014) (1072)
- Anomalous Diffusion and Relaxation Close to Thermal Equilibrium: A Fractional Fokker-Planck Equation Approach (1999) (585)
- In vivo anomalous diffusion and weak ergodicity breaking of lipid granules. (2010) (494)
- Strange kinetics of single molecules in living cells (2012) (483)
- Random time-scale invariant diffusion and transport coefficients. (2008) (382)
- Transient anomalous diffusion of telomeres in the nucleus of mammalian cells. (2009) (363)
- Fractional Fokker-Planck equation, solution, and application. (2001) (348)
- Single particle tracking in systems showing anomalous diffusion: the role of weak ergodicity breaking. (2010) (285)
- Ergodic properties of fractional Brownian-Langevin motion. (2008) (259)
- Deriving fractional Fokker-Planck equations from a generalised master equation (1999) (224)
- Theory of single-molecule spectroscopy: beyond the ensemble average. (2004) (213)
- Weak Ergodicity Breaking in the Continuous-Time Random Walk (2005) (210)
- Beyond quantum jumps: Blinking nanoscale light emitters (2009) (200)
- Fractional Kramers Equation (2000) (142)
- Nonergodicity of blinking nanocrystals and other Lévy-walk processes. (2005) (126)
- Aging renewal theory and application to random walks (2013) (124)
- Aging and nonergodicity beyond the Khinchin theorem (2010) (123)
- Aging continuous time random walks (2002) (113)
- Aging in subdiffusion generated by a deterministic dynamical system. (2003) (111)
- CTRW pathways to the fractional diffusion equation (2001) (109)
- Fractional Langevin equation: overdamped, underdamped, and critical behaviors. (2008) (109)
- Foundation of fractional Langevin equation: harmonization of a many-body problem. (2009) (105)
- Aging effects and population splitting in single-particle trajectory averages. (2013) (98)
- Anomalous diffusion models and their properties (2014) (97)
- Distribution of time-averaged observables for weak ergodicity breaking. (2007) (96)
- Lineshape theory and photon counting statistics for blinking quantum dots: a Lévy walk process (2002) (95)
- Critical exponent of the fractional Langevin equation. (2008) (91)
- Aging correlation functions for blinking nanocrystals, and other on-off stochastic processes. (2004) (82)
- Noisy continuous time random walks. (2013) (81)
- Fluctuations of 1/f noise and the low-frequency cutoff paradox. (2012) (76)
- On Distributions of Functionals of Anomalous Diffusion Paths (2010) (75)
- Fractional Feynman-Kac equation for non-brownian functionals. (2009) (74)
- From the Area under the Bessel Excursion to Anomalous Diffusion of Cold Atoms (2014) (74)
- Anomalous transport in disordered systems under the influence of external fields (1999) (66)
- Infinite covariant density for diffusion in logarithmic potentials and optical lattices. (2010) (66)
- Fractional Feynman-Kac equation for weak ergodicity breaking. (2011) (65)
- Theory of fractional Lévy kinetics for cold atoms diffusing in optical lattices. (2012) (65)
- Non-normalizable densities in strong anomalous diffusion: beyond the central limit theorem. (2013) (64)
- Nonergodicity of a Time Series Obeying Lévy Statistics (2005) (64)
- Time-dependent fluctuations in single molecule spectroscopy: a generalized Wiener-Khintchine approach. (2001) (64)
- Current status of single-molecule spectroscopy: Theoretical aspects (2002) (60)
- Theory of single file diffusion in a force field. (2008) (60)
- Time averaged Einstein relation and fluctuating diffusivities for the Lévy walk (2012) (58)
- Lévy flights versus Lévy walks in bounded domains. (2017) (58)
- Weakly Non-Ergodic Statistical Physics (2008) (56)
- Tempered fractional Feynman-Kac equation: Theory and examples. (2016) (55)
- Pesin-type identity for intermittent dynamics with a zero Lyaponov exponent. (2009) (54)
- Photon counting statistics for blinking CdSe-ZnS quantum dots: a Lévy walk process. (2006) (54)
- Generalized Einstein relation: A stochastic modeling approach (1998) (53)
- Fractional dynamics approach to diffusion-assisted reactions in disordered media (2002) (52)
- Numerical Algorithms for the Forward and Backward Fractional Feynman–Kac Equations (2014) (45)
- Single-big-jump principle in physical modeling. (2018) (45)
- Theory And Evaluation Of Single-molecule Signals (2008) (44)
- Influence of spectral diffusion on single-molecule photon statistics. (2003) (44)
- Solution of the Fokker-Planck Equation with a Logarithmic Potential (2011) (43)
- Everlasting effect of initial conditions on single-file diffusion. (2013) (43)
- Random walk to a nonergodic equilibrium concept. (2005) (41)
- Occupation time statistics in the quenched trap model. (2006) (40)
- Diffusion of tagged particle in an exclusion process. (2010) (40)
- Packets of Diffusing Particles Exhibit Universal Exponential Tails. (2019) (40)
- Paradoxes of subdiffusive infiltration in disordered systems. (2010) (39)
- Random time averaged diffusivities for Lévy walks (2013) (39)
- Lévy statistics for random single-molecule line shapes in a glass. (2003) (39)
- Infinite ergodic theory for heterogeneous diffusion processes. (2018) (38)
- Quantum walks: The first detected passage time problem. (2016) (37)
- Localisation and universal fluctuations in ultraslow diffusion processes (2014) (37)
- Residence Time Statistics for Normal and Fractional Diffusion in a Force Field (2006) (37)
- 1/f noise for intermittent quantum dots exhibits non-stationarity and critical exponents (2013) (37)
- ANALYSIS OF SINGLE PARTICLE TRAJECTORIES: FROM NORMAL TO ANOMALOUS DIFFUSION ∗ (2009) (35)
- Multi-point distribution function for the continuous time random walk (2007) (33)
- Infinite densities for Lévy walks. (2014) (32)
- First Detected Arrival of a Quantum Walker on an Infinite Line. (2017) (32)
- Crossover from Dispersive to Regular Transport in Biased Maps (1997) (32)
- Asymptotic densities of ballistic Lévy walks. (2014) (32)
- Quantum renewal equation for the first detection time of a quantum walk (2016) (32)
- Fluctuations of time averages for Langevin dynamics in a binding force field. (2011) (32)
- Weak ergodicity breaking with deterministic dynamics (2006) (31)
- Aging Wiener-Khinchin Theorem. (2015) (31)
- Power‐Law Blinking Quantum Dots: Stochastic and Physical Models (2005) (30)
- A Stochastic Theory of Single Molecule Spectroscopy (2003) (29)
- Scaling Green-Kubo Relation and Application to Three Aging Systems (2013) (29)
- Aging generates regular motions in weakly chaotic systems (2012) (27)
- Stable equilibrium based on Lévy statistics: Stochastic collision models approach. (2003) (26)
- Distribution of single-molecule line widths (1999) (26)
- From Non-Normalizable Boltzmann-Gibbs Statistics to Infinite-Ergodic Theory. (2018) (26)
- Superdiffusive Dispersals Impart the Geometry of Underlying Random Walks. (2016) (26)
- Aging Wiener-Khinchin theorem and critical exponents of 1/f^{β} noise. (2016) (26)
- Anomalous infiltration (2011) (24)
- Comment on “Subdiffusion and Anomalous Local Viscoelasticity in Actin Networks” (1998) (24)
- Boundary conditions of normal and anomalous diffusion from thermal equilibrium. (2011) (24)
- Super- and sub-Poissonian photon statistics for single molecule spectroscopy. (2004) (24)
- Hitchhiker model for Laplace diffusion processes. (2020) (23)
- Renewal theory with fat-tailed distributed sojourn times: Typical versus rare (2018) (22)
- Superaging correlation function and ergodicity breaking for Brownian motion in logarithmic potentials. (2012) (21)
- Transition from simple to complex behavior of single molecule line shapes in disordered condensed phase (2000) (21)
- Time transformation for random walks in the quenched trap model. (2010) (20)
- Single-molecule chemical reactions: reexamination of the Kramers approach. (2005) (19)
- Large Fluctuations for Spatial Diffusion of Cold Atoms. (2017) (19)
- Storage Capacity of a Multilayer Neural Network with Binary Weights (1991) (19)
- Large fluctuations of the first detected quantum return time (2019) (18)
- Universal Fluctuations of Single-Particle Diffusivity in a Quenched Environment. (2016) (17)
- Stable Equilibrium Based on Lévy Statistics:A Linear Boltzmann Equation Approach (2003) (17)
- Deviations from Boltzmann-Gibbs Statistics in Confined Optical Lattices. (2014) (17)
- Weak subordination breaking for the quenched trap model. (2012) (16)
- Infinite ergodic theory meets Boltzmann statistics (2019) (16)
- Lévy walks and generalized stochastic collision models (1997) (16)
- Rare events in generalized Lévy Walks and the Big Jump principle (2019) (15)
- Large Deviations for Continuous Time Random Walks (2020) (15)
- Infinite invariant density determines statistics of time averages for weak chaos. (2011) (15)
- Occupation times and ergodicity breaking in biased continuous time random walks (2005) (14)
- Asymptotic densities from the modified Montroll-Weiss equation for coupled CTRWs (2018) (14)
- No-go theorem for ergodicity and an Einstein relation. (2013) (14)
- Scale-invariant Green-Kubo relation for time-averaged diffusivity. (2017) (14)
- Transport in disordered systems: The single big jump approach (2019) (14)
- Spectral dimension controlling the decay of the quantum first-detection probability (2018) (13)
- Separation of trajectories and its relation to entropy for intermittent systems with a zero Lyapunov exponent. (2010) (13)
- Dissipation and fluctuation for a randomly kicked particle: Normal and anomalous diffusion (1996) (12)
- Residence time statistics for N renewal processes. (2011) (12)
- From non-Brownian Functionals to a Fractional Schr\"odinger Equation (2009) (12)
- Anomalous diffusion in the strong scattering limit: A Lévy walk approach (1998) (12)
- Non-self-averaging behaviors and ergodicity in quenched trap models with finite system sizes. (2018) (12)
- Infinite invariant density in a semi-Markov process with continuous state variables. (2019) (12)
- The Hitchhiker model for Laplace diffusion processes in the cell environment (2019) (12)
- Aging power spectrum of membrane protein transport and other subordinated random walks (2021) (12)
- Stochastic Ergodicity Breaking: a Random Walk Approach (2005) (12)
- Ergodicity Breaking in a Deterministic Dynamical System (2005) (12)
- Fractional Advection-Diffusion-Asymmetry Equation. (2020) (11)
- The Distribution of the Area Under a Bessel Excursion and its Moments (2014) (11)
- Occupation times on a comb with ramified teeth. (2013) (11)
- Heavy-tailed phase-space distributions beyond Boltzmann-Gibbs: Confined laser-cooled atoms in a nonthermal state. (2016) (11)
- Renewal Theory for a System with Internal States (2016) (11)
- Photon statistics for single-molecule nonlinear spectroscopy. (2007) (11)
- Dispersion of particles in an infinite-horizon Lorentz gas. (2017) (10)
- Limit theorems for Lévy walks in d dimensions: rare and bulk fluctuations (2017) (10)
- Fluctuations around equilibrium laws in ergodic continuous-time random walks. (2014) (10)
- Uncertainty and symmetry bounds for the quantum total detection probability (2019) (10)
- Quantum walks: The mean first detected transition time (2020) (10)
- Conditional 1/f^{α} noise: From single molecules to macroscopic measurement. (2017) (9)
- First-detection time of a quantum state under random probing (2020) (9)
- Extreme value theory for constrained physical systems. (2020) (9)
- of single molecules in living cells (2012) (8)
- Dark states of quantum search cause imperfect detection (2020) (8)
- ETTORE MAJORANA FOUNDATION AND CENTRE FOR SCIENTIFIC CULTURE (2010) (8)
- Regularized Boltzmann-Gibbs statistics for a Brownian particle in a nonconfining field (2020) (8)
- Photon emission from a single-molecule source driven by an rf field (2005) (8)
- Infinite horizon billiards: Transport at the border between Gauss and Lévy universality classes. (2019) (8)
- Theory of single photon on demand from a single molecule source. (2006) (7)
- Running measurement protocol for the quantum first-detection problem (2019) (7)
- Strong correlations between fluctuations and response in aging transport. (2006) (7)
- Complementary Densities of Lévy Walks: Typical and Rare Fluctuations (2016) (7)
- Experimental evidence for Lévy statistics in single-molecule spectroscopy in a low-temperature glass–manifestation of long-range interactions (2004) (7)
- Cusp of Non-Gaussian Density of Particles for a Diffusing Diffusivity Model (2020) (7)
- 1∕fβ noise for scale-invariant processes: how long you wait matters (2017) (6)
- Distribution of Variances of Single Molecules in a Disordered Lattice (2000) (6)
- Einstein relation and effective temperature for systems with quenched disorder. (2009) (6)
- Using Hilbert transform and classical chains to simulate quantum walks. (2016) (6)
- Accurately approximating extreme value statistics (2020) (6)
- Non-ergodic Intensity Correlation Functions for Blinking Nano Crystals (2004) (6)
- Photon emission from a driven single-molecule source: a renormalization group approach. (2005) (6)
- Pesin-Type Identity for Weak Chaos (2008) (6)
- Measurement-induced quantum walks. (2021) (5)
- Fractional Edgeworth expansion: Corrections to the Gaussian-Lévy central-limit theorem. (2014) (5)
- Randomly repeated measurements on quantum systems: correlations and topological invariants of the quantum evolution (2020) (5)
- Five critical exponents describing 1/f noise for intermittent quantum dots (2013) (5)
- Theory of single-photon control from a two-level system source (2005) (5)
- Statistical analysis of spectra of single impurity molecules and dynamics of disordered solids: I. Distributions of linewidths, moments, and cumulants (2005) (5)
- Quantum total detection probability from repeated measurements II. Exploiting symmetry (2019) (5)
- Non-Normalizable Quasi-Equilibrium Solution of the Fokker–Planck Equation for Nonconfining Fields (2021) (4)
- Restart Expedites Quantum Walk Hitting Times (2022) (4)
- Quantization of the mean decay time for non-Hermitian quantum systems (2019) (4)
- Transitions in the Ergodicity of Subrecoil-Laser-Cooled Gases. (2021) (4)
- Ageing effects in single particle trajectory averages (2012) (4)
- Stochastic One-Dimensional Lorentz Gas on a Lattice (1999) (4)
- Electrostatic effects in living cells (2013) (4)
- Uncertainty Relation between Detection Probability and Energy Fluctuations (2021) (4)
- On Hilfer's objection to the fractional time diffusion equation (2007) (4)
- Driving quantum systems with periodic conditional measurements (2021) (4)
- Numerical estimate of infinite invariant densities: application to Pesin-type identity (2013) (3)
- Size distribution of ring polymers (2016) (3)
- Quantum total detection probability from repeated measurements I. The bright and dark states (2019) (3)
- Fluctuations of ring polymers (2015) (3)
- Probing dynamics of single molecules: Nonlinear spectroscopy approach. (2008) (3)
- Anomalous Kinetics Leads to Weak Ergodicity Breaking (2008) (3)
- Transport and the first passage time problem with application to cold atoms in optical traps (2013) (3)
- Aging, non-ergodicity, and Lévy statistics for blinking nanocrystals (2004) (3)
- Fractional Feynman–Kac Equation for Anomalous Diffusion Functionals (2011) (3)
- DETERMINISTIC TRANSPORT IN BIASED MAPS : CROSSOVER FROM DISPERSIVE TO REGULAR TRANSPORT (1998) (2)
- Universal exploration (2015) (2)
- Photon statistics for a two-level system interacting with a sequence of two laser pulses (2008) (2)
- Gas of sub-recoiled laser cooled atoms described by infinite ergodic theory. (2021) (2)
- Large deviations of the ballistic Lévy walk model. (2020) (2)
- Microscopic dynamics in rare events: generalized L\'evy processes and the big jump principle (2019) (2)
- Non-Gaussian properties of transport in active systems (2018) (2)
- Erratum: Separation of trajectories and its relation to entropy for intermittent systems with a zero Lyapunov exponent [Phys. Rev. E82, 016209 (2010)] (2012) (2)
- Anomalous statistics of laser-cooled atoms in dissipative optical lattices (2021) (2)
- Critical exponents describing non-stationary $1/f$ noise for intermittent quantum dots (2013) (2)
- Single Molecule Chemical Reaction: Kramers Approach Revisited (2005) (2)
- Infinite invariant densities for anomalous diffusion in optical lattices and other logarithmic potentials (2010) (2)
- Instability in the quantum restart problem (2023) (2)
- Tempered Fractional Feynman-Kac Equation (2018) (2)
- Distributions of time averages for weakly chaotic systems: the role of infinite invariant density. (2013) (2)
- Super-aging correlation function and ergodicity breaking in logarithmic potentials (2012) (2)
- 0 D ec 2 00 7 The Critical Exponent of the Fractional Langevin Equation is α c ≈ 0 . 402 (2008) (1)
- L\'evy walks in two dimensions: when microscopic symmetries cause macroscopic non-universality (2016) (1)
- Erratum: ``Statistical mechanics of a multilayered neural network'' [Phys. Rev. Lett. 65, 2312 (1990)] (1990) (1)
- Weak Ergodicity Breaking in Single-Particle Dynamics (2008) (1)
- Infinite ergodic theory for three heterogeneous stochastic models with application to subrecoil laser cooling. (2022) (1)
- Multiplicative noise induces zero critical frequency. (2008) (1)
- Reply to the comment on "Non-Normalizable Densities in Strong Anomalous Diffusion: Beyond the Central Limit Theorem" (2015) (1)
- FRACTIONAL KADOMTSEV-PETVIASHVILI EQUATION FOR NON-BROWNIAN FUNCTIONALS (2009) (1)
- Big jump principle for heavy-tailed random walks with correlated increments (2021) (1)
- Pitfalls In Single Particle Tracking In Living Cells (2009) (1)
- 3D Imaging of Hopping Molecules (2017) (1)
- Uncertainty and symmetry bound for the total detection probability of quantum walks (2019) (1)
- Infinite densities in strong anomalous diffusion: going beyond the central limit theorem (2013) (1)
- Heavy-tailed phase-space distributions beyond Boltzmann-Gibbs and equipartition: Statistics of confined cold atoms (2016) (1)
- Stanislavskii Probability Interpretation of the Integral of Fractional Order (2019) (1)
- Local equilibrium properties of ultraslow diffusion in the Sinai model (2022) (1)
- First detection of a quantum walker on an infinite line (2017) (0)
- Single Molecule Photon Statistics from a Sequence of Laser Pulses (2007) (0)
- Discrete Sampling of Extreme Events Modifies Their Statistics. (2021) (0)
- Numerical Algorithms for the Forward and Backward Fractional Feynman–Kac Equations (2014) (0)
- Residence time statistics for $N$ blinking quantum dots and other stochastic processes (2011) (0)
- Anomalous diffusion, infinite measures, and limit distributions in a class of exactly solvable stochastic processes (2019) (0)
- Photon Counting Statistics for Single Molecule Spectroscopy (2001) (0)
- Non-normalizable quasi-equilibrium states under fractional dynamics (2023) (0)
- The Distribution of the Area Under a Bessel Excursion and its Moments (2014) (0)
- Infinite densities in continuous-time random walks (2014) (0)
- Conditional measurements of $1/f^{\alpha}$ noise: from single particles to macroscopic ensembles (2017) (0)
- L\'EVY PHOTON STATISTICS IN BLINKING QUANTUM DOTS (2003) (0)
- Ergodic Properties ofFractionalB row nian-Langevin M otion (2013) (0)
- F eb 2 00 0 Fractional Kramers Equation (0)
- Controls that expedite first passage times in disordered systems (2022) (0)
- Erratum: Aging Wiener-Khinchin theorem and critical exponents of 1/f^{β} noise [Phys. Rev. E 94, 052130 (2016)]. (2017) (0)
- When you know it was there - you remember how it looked: effects of semantic context on memory for 'gist' and for visual details. (2016) (0)
- Statistics for R andom Single { M olecule Line Shapes in a G lass (0)
- From classical chains to quantum dynamics via the Hilbert transform (2016) (0)
- Viewpoint: 3D Imaging of Hopping Molecules (2017) (0)
- Lévy statistics for single molecule spectroscopy in low temperature glass (2001) (0)
- Large Fluctuations in anomalous transport and the Big Jump Principle (2019) (0)
- Phonon Random Walks: Using Classical Chains to Simulate Quantum Dynamics (2016) (0)
- PHYSICAL REVIEW LETTERS (1999) (0)
- Stochastic Modeling of Anomalous Dynamics in Complex Physical and Biological Systems (2015) (0)
- Transforming Gaussian diffusion into fractional a generalized law of large numbers approach (2000) (0)
- Transport at the border between Gauss and L\'evy universality classes (2017) (0)
- Asymptotic densities from the modified Montroll-Weiss equation for coupled CTRWs (2018) (0)
- 1∕fβ noise for scale-invariant processes: how long you wait matters (2017) (0)
- Coherent Destruction of Photon Emission from a Single Molecule Source: A Renormalization Group Approach (2004) (0)
- Generalized virial equation for nonlinear multiplicative Langevin dynamics: Application to laser-cooled atoms. (2021) (0)
- Phonon Random Walks: Predicting Heat Spreading in Many-particle Systems (2016) (0)
- Exponential Tails and Asymmetry Relations for the Spread of Biased Random Walks (2022) (0)
- Special purpose quantum graphs for guaranteed and fast search times (2022) (0)
- Publisher's Note: Aging generates regular motions in weakly chaotic systems [Phys. Rev. E87, 032915 (2013)] (2013) (0)
- THEORY OF TIME DEPENDENT FLUCTUATIONS IN SINGLE MOLECULE SPECTROSCOPY (2003) (0)
- Random time averaged diffusivities for Lévy walks (2013) (0)
- Brownian particles in periodic potentials: Coarse-graining versus fine structure. (2022) (0)
- Generalized Khinchin Theorem for a Class of Aging Processes (2010) (0)
- Fluctuations of time averaged diffusivities for the L\'evy walk (2012) (0)
- Anomalous diffusion: from single molecules in the live cell to cold atoms in optical lattices (2015) (0)
- Electrostatic effects in living cells Reply (2013) (0)
- Designing exceptional-point-based graphs yielding topologically guaranteed quantum search (2022) (0)
- Regularized Boltzmann-Gibbs statistics for a non-confining field (2020) (0)
- Hilbert Transform: Mapping Classical to Quantum Dynamics (2016) (0)
- Discrete sampling of correlated random variables modifies the long-time behavior of their extreme value statistics (2021) (0)
- 5 F eb 2 00 5 Stochastic Ergodicity Breaking : a Random Walk Approach . (2018) (0)
- Telomeres Diffusion Study Implies on A Self-Organization Mechanism of the Genome in the Nucleus (2010) (0)
- Rare events in generalized Lévy Walks and the Big Jump principle (2020) (0)
- Controls that expedite scale-invariant transport in disordered systems (2022) (0)
- Dispersive Lineshape Theory (2000) (0)
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