Dmitry Dolgopyat | Academic Influence

Dmitry Dolgopyat's AcademicInfluence.com Rankings

Dmitry Dolgopyat

Mathematics

#6928

World Rank

#9511

Historical Rank

Measure Theory

#3313

World Rank

#3915

Historical Rank

mathematics Degrees

Download Badge

Mathematics

Dmitry Dolgopyat's Degrees

PhD Mathematics University of California, Berkeley
Masters Mathematics University of California, Berkeley
Bachelors Mathematics Moscow State University

Similar Degrees You Can Earn

Best Online Bachelor's in Math 2025

Why Is Dmitry Dolgopyat Influential?

(Suggest an Edit or Addition)

According to Wikipedia, Dmitry Dolgopyat is a Russian-American mathematician at the University of Maryland known for his research in dynamical systems. Biography He graduated from Moscow State School 57 mathematical class in 1989. From 1989 to 1994, he was an undergraduate student at Moscow State University. From 1994 to 1997, he was enrolled in Princeton University, where he earned a PhD under the guidance of Yakov Sinai.

(See a Problem?)

Dmitry Dolgopyat'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 decay of correlations in Anosov flows (1998) (440)
Limit theorems for partially hyperbolic systems (2003) (223)
On differentiability of SRB states for partially hyperbolic systems (2004) (148)
Prevalence of rapid mixing in hyperbolic flows (1998) (144)
On Dynamics of Mostly Contracting Diffeomorphisms (2000) (107)
On mixing properties of compact group extensions of hyperbolic systems (2002) (105)
Brownian Brownian Motion-I (2008) (95)
Energy Transfer in a Fast-Slow Hamiltonian System (2010) (68)
Every compact manifold carries a completely hyperbolic diffeomorphism (2002) (64)
Random walk in Markovian environment (2007) (63)
Stable accessibility is C 1 dense (60)
Recurrence properties of planar Lorentz process (2008) (59)
Geometric and Probabilistic Structures in Dynamics (2008) (55)
Averaging and Invariant Measures (2005) (52)
The Galton board: Limit theorems and recurrence (2008) (49)
Stable accessibility is C1 dense (2001) (44)
Limit Theorems for Dispersing Billiards with Cusps (2011) (44)
Bouncing balls in non-linear potentials (2008) (41)
Stable ergodicity for partially hyperbolic attractors with negative central exponents (2007) (41)
Quenched Limit Theorems for Nearest Neighbour Random Walks in 1D Random Environment (2010) (40)
Geometric and Measure-Theoretical Structures of Maps with Mostly Contracting Center (2014) (38)
Unbounded Orbits for Semicircular Outer Billiard (2009) (37)
Sample path properties of the stochastic flows (2001) (36)
Hyperbolic billiards and statistical physics (2006) (34)
Prevalence of rapid mixing—II: topological prevalence (2000) (33)
Dynamics of some piecewise smooth Fermi-Ulam models. (2011) (33)
Non-perturbative approach to random walk in Markovian environment (2008) (31)
Bounded orbits of Anosov flows (1997) (30)
Repulsion from Resonances (2012) (27)
Non-Stationary Non-Uniform Hyperbolicity: SRB Measures for Dissipative Maps (2014) (27)
The visits to zero of a random walk driven by an irrational rotation (2015) (25)
Temporal Distributional Limit Theorems for Dynamical Systems (2017) (25)
Limit theorems for locally perturbed planar Lorentz processes (2009) (24)
On mixing and the local central limit theorem for hyperbolic flows (2017) (23)
Deviations of ergodic sums for toral translations II. Boxes (2012) (23)
Central Limit Theorem for Excited Random Walk in the Recurrent Regime (2011) (22)
Limit theorems for toral translations (2020) (20)
Scaling limits of recurrent excited random walks on integers (2012) (20)
Nonequilibrium Density Profiles in Lorentz Tubes with Thermostated Boundaries (2014) (20)
Deviations of Ergodic sums for Toral Translations I. Convex bodies (2012) (20)
The Diffusion Coefficient For Piecewise Expanding Maps Of The Interval With Metastable States (2010) (19)
Fermi Acceleration (2008) (19)
On simultaneous linearization of diffeomorphisms of the sphere (2007) (18)
Diffusive motion and recurrence on an idealized Galton board. (2007) (17)
A limit shape theorem for periodic stochastic dispersion (2002) (16)
An Example of a Smooth Hyperbolic Measure with Countably Many Ergodic (2000) (16)
Averaging of Hamiltonian flows with an ergodic component (2008) (16)
Random Walk in deterministically changing envi- ronment (2008) (16)
Central limit theorems for simultaneous Diophantine approximations (2016) (15)
Averaging of incompressible flows on two-dimensional surfaces (2012) (15)
Addendum to ‘Periodic orbits and dynamical spectra’ (1998) (15)
Infinite measure renewal theorem and related results (2017) (15)
Motion in a random force field (2009) (14)
Particle drift in self-similar billiards (2008) (14)
An Error Term in the Central Limit Theorem for Sums of Discrete Random Variables (2023) (13)
Multi-type branching processes with time-dependent branching rates (2018) (12)
Limit theorems for random walks on a strip in subdiffusive regimes (2012) (11)
On statistical properties of geodesic flows on negatively curved surfaces (1997) (11)
Infinite measure mixing for some mechanical systems (2018) (11)
Lorentz Gas with Thermostatted Walls (2010) (11)
Hyperbolic Dynamics, Fluctuations and Large Deviations (2015) (11)
Livsiĉ Theory for Compact Group Extensions of Hyperbolic Systems (2005) (10)
Deterministic and stochastic perturbations of area preserving flows on a two-dimensional torus (2011) (10)
Quenched and annealed temporal limit theorems for circle rotations (2020) (10)
Invariant measure for random walks on ergodic environments on a strip (2019) (9)
A Local Limit Theorem for sums of independent random vectors (2016) (9)
Asymptotic expansion of correlation functions for Zd covers of hyperbolic flows (2019) (9)
Multiple Borel–Cantelli Lemma in dynamics and MultiLog Law for recurrence (2021) (8)
Exponential mixing implies Bernoulli (2021) (8)
Constructive approach to limit theorems for recurrent diffusive random walks on a strip (2020) (7)
Hausdorff Dimension in Stochastic Dispersion (2002) (7)
Flexibility of statistical properties for smooth systems satisfying the central limit theorem (2020) (6)
Multifractal properties of the sets of zeroes of Brownian paths (1995) (6)
Global observables for random walks: law of large numbers (2019) (5)
The first encounter of two billiard particles of small radius (2016) (5)
PIECEWISE SMOOTH PERTURBATIONS OF INTEGRABLE SYSTEMS (2013) (5)
No temporal distributional limit theorem for a.e. irrational translation (2018) (5)
Non-Collision Singularities in the Planar Two-Center-Two-Body Problem (2013) (5)
Entropy of coupled map lattices (1997) (5)
Asymptotic windings of horocycles (2018) (4)
Mixing properties of generalized T,T−1 transformations (2020) (4)
Local Limit Theorems for random walks in a 1D random environment (2013) (4)
Excursions and occupation times of critical excited random walks (2014) (4)
Local Limit Theorems for Random Walks in a Random Environment on a Strip (2019) (4)
Regularity of absolutely continuous invariant measures for piecewise expanding unimodal maps (2015) (4)
LECTURES ON U-GIBBS STATES (4)
Edgeworth expansions for independent bounded integer valued random variables (2020) (3)
A Berry–Esseen theorem and Edgeworth expansions for uniformly elliptic inhomogeneous Markov chains (2021) (3)
PRELUDE TO A KISS (2004) (3)
EVOLUTION OF ADIABATIC INVARIANTS IN STOCHASTIC AVERAGING (2004) (3)
LIMIT THEOREMS FOR HYPERBOLIC SYSTEMS (2009) (3)
Long time behaviour of periodic stochastic flows (2006) (3)
On Small Gaps in the Length Spectrum (2016) (3)
Erratic behavior for 1-dimensional random walks in a Liouville quasi-periodic environment (2021) (3)
Geometric and probabilistic structures in dynamics : Workshop on Dynamical Systems and Related Topics in honor of Michael Brin on the occasion of his 60th birthday, March 15-18, 2008, University of Maryland, College Park, MD (2008) (2)
Erratic behavior for 1-dimensional random walks in generic quasi-periodic environment (2019) (2)
Global observables for RW: Law of large numbers (2021) (2)
LOCAL LIMIT THEOREMS FOR RANDOM WALKS IN 1 DIMENSIONAL RANDOM ENVIRONMENT (2012) (1)
Contemporary Mathematics Series Geometric and Probabilistic Structures in Dynamics (1)
Dispersing Fermi-Ulam Models (2020) (1)
The work of Sébastien Gouëzel on limit theorems and on weighted Banach spaces (2020) (1)
Non-Stationary Non-Uniform Hyperbolicity: SRB Measures for Dissipative Maps (2016) (1)
Submitted to the Annals of Probability INVARIANT MEASURE FOR RANDOM WALKS ON ERGODIC ENVIRONMENTS ON A STRIP By (2018) (0)
The work of Federico Rodriguez Hertz on ergodicity of dynamical systems (2016) (0)
Correction to: Flexibility of statistical properties for smooth systems satisfying the central limit theorem (2022) (0)
Mixing properties of generalized T,T−1 transformations (2022) (0)
The Galton board (2009) (0)
Temporal Distributional Limit Theorems for Dynamical Systems (2016) (0)
DEVIATIONS OF ERGODIC AVERAGES FOR TORAL TRANSLATIONS – PART II : BOXES (2012) (0)
Hyperbolic dynamics, fluctuations and large deviations : Special Semester Hyperbolic Dynamics, Large Deviations and Fluctuations, January-June 2013, Centre Interfacultaire Bernoulli, École Polytechnique Fédérale de Lausanne (2015) (0)
Totally asymmetric dynamical walks in random environment. (2020) (0)
PR ] 3 0 N ov 2 02 0 EDGEWORTH EXPANSIONS FOR INDEPENDENT BOUNDED INTEGER VALUED RANDOM VARIABLES (2020) (0)
Asymptotic windings of horocycles (2018) (0)
Asymptotic expansion of correlation functions for $\mathbb{Z}^d$ covers of hyperbolic flows (2019) (0)
Geometric and Measure-Theoretical Structures of Maps with Mostly Contracting Center (2016) (0)
Non-Collision Singularities in the Planar Two-Center-Two-Body Problem (2016) (0)
Deviations of Ergodic sums for Toral Translations I. Convex bodies (2014) (0)
Topological roots of the fermionic structures seen in the 2 D Ising model (2015) (0)
M ay 2 01 6 CENTRAL LIMIT THEOREMS FOR SIMULTANEOUS DIOPHANTINE APPROXIMATIONS (2016) (0)
Smooth zero entropy flows satisfying the classical central limit theorem (2022) (0)
SAMPLE PATH PROPERIES OF RANDOM TRANSFORMATIONS (0)
Edgeworth expansions for integer valued additive functionals of uniformly elliptic Markov chains (2022) (0)
LIMIT THEOREMS FOR TORAL TRANSLATIONS-I . CONVEX BODIES . (2012) (0)
EDGEWORTH EXPANSION FOR INDEPENENT BOUNDED INTEGER VALUED RANDOM VARIABLES (2020) (0)

This paper list is powered by the following services:

Other Resources About Dmitry Dolgopyat

en.wikipedia.org

What Schools Are Affiliated With Dmitry Dolgopyat?

Dmitry Dolgopyat is affiliated with the following schools: