Leonid Bunimovich | Academic Influence

Leonid Bunimovich's AcademicInfluence.com Rankings

Leonid Bunimovich

Mathematics

#3475

World Rank

#5121

Historical Rank

#1287

USA Rank

Chaos Theory

#13

World Rank

#13

Historical Rank

#8

USA Rank

Measure Theory

#2235

World Rank

#2684

Historical Rank

#635

USA Rank

mathematics Degrees

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Mathematics

Leonid Bunimovich's Degrees

PhD Mathematics Moscow State University

Why Is Leonid Bunimovich Influential?

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According to Wikipedia, Leonid Abramowich Bunimovich is a Soviet and American mathematician, who made fundamental contributions to the theory of Dynamical Systems, Statistical Physics and various applications. Bunimovich received his bachelor's degree in 1967, master's degree in 1969 and PhD in 1973 from the University of Moscow. His masters and PhD thesis advisor was Yakov G. Sinai. In 1986 he finally received Doctor of Sciences degree in "Theoretical and Mathematical Physics". Bunimovich is a Regents' Professor of Mathematics at the Georgia Institute of Technology. Bunimovich is a Fellow of the Institute of Physics and was awarded Humboldt Prize in Physics.

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Leonid Bunimovich'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

On the ergodic properties of nowhere dispersing billiards (1979) (537)
Statistical properties of lorentz gas with periodic configuration of scatterers (1981) (404)
Statistical properties of two-dimensional hyperbolic billiards (1991) (297)
Spacetime chaos in coupled map lattices (1988) (274)
Markov Partitions for dispersed billiards (1980) (220)
On ergodic properties of certain billiards (1974) (209)
Markov partitions for two-dimensional hyperbolic billiards (1990) (189)
Hard Ball Systems and the Lorentz Gas (2000) (184)
Mushrooms and other billiards with divided phase space. (2001) (149)
On the Boltzmann equation for the Lorentz gas (1983) (140)
Dynamics of Two- and Three-Worker "Bucket Brigade" Production Lines (1999) (113)
One-dimensional dynamical systems and Benford's law (2004) (83)
Where to place a hole to achieve a maximal escape rate (2008) (81)
Ergodic systems ofn balls in a billiard table (1992) (76)
Coupled map lattices: some topological and ergodic properties (1997) (74)
Recurrence properties of Lorentz lattice gas cellular automata (1992) (61)
Coupled map lattices: one step forward and two steps back Physica D 86 (1995) (57)
Dynamical Systems, Ergodic Theory and Applications (2000) (57)
On absolutely focusing mirrors (1992) (49)
Lattice Dynamical Systems (2001) (48)
A theorem on ergodicity of two-dimensional hyperbolic billiards (1990) (47)
Diffusive energy growth in classical and quantum driven oscillators (1991) (46)
QUENTIN: reconstruction of disease transmissions from viral quasispecies genomic data (2018) (46)
Open circular billiards and the Riemann hypothesis. (2004) (46)
Conditions of stochasticity of two-dimensional billiards. (1991) (45)
Suppressing Fermi acceleration in a driven elliptical billiard. (2010) (42)
Sinai's Moscow Seminar on Dynamical Systems (1995) (41)
Short- and long-term forecast for chaotic and random systems (50 years after Lorenz's paper) (2014) (39)
Antigenic cooperation among intrahost HCV variants organized into a complex network of cross-immunoreactivity (2015) (38)
Many-dimensional nowhere dispersing billiards with chaotic behavior (1988) (37)
Multicomponent dynamical systems: SRB measures and phase transitions (2002) (37)
How High-Dimensional Stadia Look Like (1998) (37)
On the Problem of Stability in Lattice Dynamical Systems (1995) (36)
Dynamical networks: interplay of topology, interactions and local dynamics (2007) (32)
Path lengths in protein–protein interaction networks and biological complexity (2011) (32)
Density of defects and spatial entropy in extended systems (1995) (32)
Viscosity for a periodic two disk fluid: An existence proof (1996) (31)
Propagation and Organization in Lattice Random Media (1999) (30)
Nowhere Dispersing 3D Billiards with Non-vanishing Lyapunov Exponents (1997) (29)
Neocortical networks of pyramidal neurons: from local locking and chaos to macroscopic chaos and synchronization (2000) (29)
When pyramidal neurons lock, when they respond chaotically, and when they like to synchronize (2000) (29)
Relative volume of Kolmogorov–Arnold–Moser tori and uniform distribution, stickiness and nonstickiness in Hamiltonian systems (2008) (29)
Rotators, periodicity, and absence of diffusion in cyclic cellular automata (1994) (28)
Early-Time Exponential Instabilities in Nonchaotic Quantum Systems. (2019) (28)
Deterministic walks in random environments (2004) (27)
One-particle and few-particle billiards. (2005) (26)
Complexity of Dynamics as Variability of Predictability (2004) (25)
Many faces of stickiness in Hamiltonian systems. (2012) (25)
On the ergodicity of many-dimensional focusing billiards (1998) (24)
Isospectral Transformations: A New Approach to Analyzing Multidimensional Systems and Networks (2014) (24)
Kinematics, equilibrium, and shape in Hamiltonian systems: the "LAB" effect. (2003) (22)
Focusing Components in Typical Chaotic Billiards Should be Absolutely Focusing (2009) (21)
Variational principle for periodic trajectories of hyperbolic billiards. (1995) (21)
Track Billiards (2008) (21)
Ising-type transitions in coupled map lattices (1995) (19)
Topological dynamics of flipping Lorentz lattice gas models (1993) (19)
Erratum: ``Markov partition for dispersed billiards'' (1986) (18)
Coupled trivial maps. (1992) (18)
Semi-Focusing Billiards: Hyperbolicity (2006) (18)
Walks in rigid environments (2000) (17)
Switched flow systems: pseudo billiard dynamics (2004) (17)
Ising-Type and Other Transitions in One-Dimensional Coupled Map Lattices with Sign Symmetry (2001) (16)
Generic origins of irregular spiking in neocortical networks (2000) (16)
Existence of Transport Coefficients (2000) (16)
On Another Edge of Defocusing: Hyperbolicity of Asymmetric Lemon Billiards (2014) (16)
On ergodic and mixing properties of the triangle map (2008) (15)
Coupled map lattices : at the age of maturity (2005) (14)
Suppressing Fermi acceleration in two-dimensional driven billiards. (2010) (13)
MANY-DIMENSIONAL LORENTZ CELLULAR AUTOMATA AND TURING MACHINES (1996) (13)
Some new surprises in chaos. (2015) (13)
Dynamical Systems of Hyperbolic Type with Singularities (1989) (13)
The Optimal Sink and the Best Source in a Markov Chain (2010) (12)
Observations of the fractal properties of the Japan sea surface temperature patterns (1993) (12)
ON ONE MECHANISM OF TRANSITION TO CHAOS IN LATTICE DYNAMICAL SYSTEMS (1997) (12)
Onset of chaos in coupled map lattices via the peak-crossing bifurcation (1996) (12)
Dynamical Systems, Ergodic Theory, and Probability: in Memory of Kolya Chernov (2017) (12)
Using earth mover’s distance for viral outbreak investigations (2019) (10)
Finding Hidden Structures, Hierarchies, and Cores in Networks via Isospectral Reduction (2019) (10)
Long range action in networks of chaotic elements (2005) (10)
A transformation of the circle (1970) (10)
Mechanisms of chaos in billiards: dispersing, defocusing and nothing else (2018) (9)
One-Dimensional Lorentz Gas with Rotating Scatterers: Exact Solutions (2003) (9)
Localization and Propagation in Random Lattices (2001) (9)
Chaotic and nonchaotic mushrooms (2008) (8)
Noise-Driven Neocortical Interaction: A Simple Generation Mechanism for Complex Neuron Spiking (2000) (8)
Stable chaotic waves generated by hyperbolic PDEs (1996) (8)
Fine Structure of Sticky Sets in Mushroom Billiards (2014) (7)
Dynamical systems and operations research: A basic model (2001) (7)
Specialization Models of Network Growth (2017) (7)
Hyperbolicity and Astigmatism (2000) (7)
At Grammatical Faculty of Language, Flies Outsmart Men (2013) (7)
Localized solutions in lattice systems and their bifurcations caused by spatial interactions (1998) (6)
Lorentz Lattice Gases and Many-Dimensional Turing Machines (2002) (6)
Graph fractal dimension and the structure of fractal networks (2020) (6)
Semi-focusing billiards: ergodicity (2008) (6)
Walks in Rigid Environments: Continuous Limits (2002) (6)
On stability of structures and patterns in extended systems (1997) (5)
Physical versus mathematical billiards: From regular dynamics to chaos and back. (2019) (5)
Uncovering Hierarchical Structure in Social Networks Using Isospectral Reductions (2017) (5)
IMPROVED ESTIMATES OF SURVIVAL PROBABILITIES VIA ISOSPECTRAL TRANSFORMATIONS (2012) (5)
Space-time chaos in spatially continuous systems (1999) (5)
Deterministic walks in rigid environments with aging (2007) (4)
Graph fractal dimension and structure of fractal networks: a combinatorial perspective (2019) (4)
Dynamical billiards (2007) (4)
Quantum chaos in classically non-chaotic systems (2019) (4)
Ehrenfests’ Wind–Tree Model is Dynamically Richer than the Lorentz Gas (2019) (4)
Local Immunodeficiency: Role of Neutral Viruses (2020) (3)
Deterministic Models of the Simplest Chemical Reactions (2005) (3)
Lorentz gas cellular automata on graphs (2003) (3)
Inhibitory connections enhance pattern recurrence in networks of neocortical pyramidal cells (1999) (3)
Collision of a hard ball with singular points of the boundary. (2020) (3)
Local immunodeficiency: Minimal networks and stability. (2018) (3)
Dynamics of spatial averages. (1997) (3)
Intrinsic Stability, Time Delays and Transformations of Dynamical Networks (2017) (3)
Controlling Production Lines (2006) (3)
Elliptic flowers: simply connected billiard tables where chaotic (non-chaotic) flows move around chaotic (non-chaotic) cores (2021) (3)
Spectral and Dynamic Consequences of Network Specialization (2019) (2)
On localization of vorticity in Lorentz lattice gases (1997) (2)
Simple and Complex Patterns in Coupled Map Lattices (1991) (2)
Poisson Approximations and Convergence Rates for Hyperbolic Dynamical Systems (2021) (2)
Few Islands Approximation of Hamiltonian System with divided Phase Space (2018) (2)
Transport Processes from Mechanics: Minimal and Simplest Models (2017) (2)
RESTRICTIONS AND STABILITY OF TIME-DELAYED (2012) (2)
Fly out-smarts man (2012) (2)
Introduction to Focus Issue: statistical mechanics and billiard-type dynamical systems. (2012) (2)
On the Diffusion in Dynamical Systems (1985) (2)
Generalized eigenvectors of isospectral transformations, spectral equivalence and reconstruction of original networks (2018) (2)
Criterion of absolute focusing for focusing component of billiards (2009) (1)
Walks in rigid environments: symmetry and dynamics (2019) (1)
UBM: Quantitative systems biology (2009) (1)
Яков Григорьевич Синай (к шестидесятилетию со дня рождения)@@@Yakov Grigor'evich Sinai (on his sixtieth birthday) (1996) (1)
Phase Transitions in Lorentz-Type Gases (1992) (1)
Why escape is faster than expected (2020) (1)
On Attractors of Isospectral Compressions of Networks (2017) (1)
Markov partition for dispersed billiards (1986) (1)
Walks in rigid environments: symmetry and dynamics (2019) (1)
Billiard-Type Systems with Chaotic Behaviour and Space-Time Chaos (1992) (1)
Computational analysis and modelling of intra-host adaptation of hepatitis C virus: The role of immune cross-reactivity of HCV quasispecies (2013) (1)
Algorithms for prediction of viral transmission using analysis of intra-host viral populations (2015) (1)
Isospectral Matrix Reductions (2014) (1)
Editorial: on Not Keeping Secrets (1999) (1)
Robust Quasihomogeneous Configurations in Coupled Map Lattices (1991) (1)
Detecting intrinsic global geometry of an obstacle via layered scattering. (2021) (1)
Isospectral Graph Reductions (2009) (1)
Some Estimates for 2-Dimensional Infinite and Bounded Dilute Random Lorentz Gases (2002) (1)
Book Review: Chaotic billiards (2009) (1)
Yakov Grigor'evich Sinai (on his sixtieth birthday) (1996) (1)
Back to Boundaries in Billiards (2022) (1)
Stability of Dynamical Networks (2014) (1)
Method of Stabilization of a Target Regime in Manufacturing and Logistics (2005) (1)
Isospectral Reductions of Dynamical Networks (2010) (1)
Mechanisms for Network Growth that Preserve Spectral and Local Structure (2016) (1)
Covering relations for coupled map networks (2011) (1)
( C ) Project Description : a . List of Participants (0)
Editorial: In memoriam-Valentin S. (Valya) Afraimovich (2 April 1945-21 February 2018). (2018) (0)
One-Particle and Two-Particle Billiards (2005) (0)
Where and When Orbits of Strongly Chaotic Systems Prefer to Go (2017) (0)
D S ] 1 5 M ar 2 00 6 Escape from a circle and Riemann hypotheses (2006) (0)
Flies outsmart men (2012) (0)
[Clinico-statistical patterns in the dynamics of episodes in schizophrenia]. (1982) (0)
Fe b 20 05 Open circular billiards and the Riemann hypothesis (2018) (0)
Leonid Pavlovich Shil'nikov (obituary) (2012) (0)
[The genetic heterogeneity of hereditary human diseases]. (1975) (0)
Bridge to Hyperbolic Polygonal Billiards (2020) (0)
Escape from a circle and Riemann hypotheses (2006) (0)
[A representative model of the hierarchic structure of human populations]. (1975) (0)
Control of oscillations and chaos in canonical neocortical microcircuits (2000) (0)
Improved Estimates of Survival Probabilities (2014) (0)
Chaos and Geometric Optics (2021) (0)
Pseudospectra and Inverse Pseudospectra (2014) (0)
[Quantitative assessment of antithymocyte antibodies in schizophrenia]. (1978) (0)
The Rate of Correlation Decay in One-Dimensional Ecological Models (1982) (0)
Publisher's Note: Suppressing Fermi acceleration in two-dimensional driven billiards [Phys. Rev. E 82, 016202 (2010)] (2010) (0)
P 31 Application of nonlinear dynamical analysis for the study of gastrointestinal circulatory pathophysiology (2007) (0)
Finite time dynamics (2012) (0)
NonGaussian behavior in Lorentz lattice gas cellular automata (1992) (0)
On Another Edge of Defocusing: Hyperbolicity of Asymmetric Lemon Billiards (2016) (0)
Towards close-to-nature neural networks (1999) (0)
Peeping at chaos (2006) (0)
Chaos and Geometrical Optics (2022) (0)
Robust Quasihomoge neous Configuratio ns III Coupled Map Lat t . ice s " (0)
Circular Billiards and the Riemann Hypothesis (2005) (0)
Illumination problem and absolutely focusing mirrors (2001) (0)
Accurate reconstruction of transmission history using analysis of deep sequencing data for intra-host viral populations (2016) (0)
Chaotic Billiards with Focusing Components in Higher Dimensions (1998) (0)
Improved Eigenvalue Estimates (2014) (0)
Signatures of Quantum Chaos in Classically Non-Chaotic Systems (2019) (0)
Stable Islands, Chaotic Seas (2010) (0)
Fine Structure of Sticky Sets in Mushroom Billiards (2013) (0)
Graph Hausdorff dimension, Kolmogorov complexity and construction of fractal graphs (2016) (0)
Chaos in Spatially Extended Systems via the Peak-Crossing bifurcation (2005) (0)
How smooth can convex chaotic billiard tables be (2018) (0)
Statistical mechanics and billiard-type dynamical systems (2013) (0)
A ug 2 00 4 Switched flow systems : pseudo billiard dynamics (2008) (0)
Space-Time Chaos and Coherent Structures in the Coupled Map Lattices (1990) (0)
Automorphisms, Equitable Partitions, and Spectral Graph Theory (2019) (0)
STRUCTURAL TRANSFORMATIONS AND STABILITY OF DYNAMICAL NETWORKS (2013) (0)
Dynamical Networks and Isospectral Graph Reductions (2014) (0)
ne-particle and few-particle billiards (2006) (0)

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