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Mathematics

D-Index
53
Citations
20454
World Ranking
876
National Ranking
422

Research.com Recognitions

  • 2014 - Abel Prize For his fundamental contributions to dynamical systems, ergodic theory, and mathematical physics.
  • 2013 - Steele Prize for Lifetime Achievement
  • 2013 - Fellow of the American Mathematical Society
  • 2009 - Fellow of the Royal Society, United Kingdom
  • 2008 - Member of Academia Europaea
  • 1996 - Wolf Prize in Mathematics for his fundamental contributions to mathematically rigorous methods in statistical mechanics and the ergodic theory of dynamical systems and their applications in physics.
  • 1990 - Dannie Heineman Prize for Mathematical Physics, American Physical Society and American Institute of Physics
  • 1983 - Fellow of the American Academy of Arts and Sciences

Overview

Yakov G. Sinai is affiliated with Princeton University in the United States and works in the field of mathematics with a focus on mathematical physics and its related disciplines. Their work encompasses several subfields including mathematical physics, condensed matter physics, statistical and nonlinear physics, applied mathematics, and geometry and topology.

The main topics of Sinai's research include:

  • Theoretical and computational physics
  • Stochastic processes and statistical mechanics
  • Advanced thermodynamics and statistical mechanics
  • Navier-Stokes equation solutions
  • Advanced differential equations and dynamical systems
  • Mathematical dynamics and fractals

Recent publications by Sinai highlight contributions to both the theoretical framework and applied aspects of mathematical physics. Some notable papers are:

  • "Proceedings of the XI international conference stochastic and analytic methods in mathematical physics," 2020, Durham Research Online (Durham University)
  • "Statistical Mechanics of Freely Fluctuating Two-Dimensional Elastic Crystals," 2020, Journal of Statistical Physics
  • "Анатолий Михайлович Степин (некролог)," 2022, Успехи математических наук
  • "Mitchell Feigenbaum," 2021, Notices of the American Mathematical Society
  • "Real and complex Li-Sinai solutions of the 3D incompressible Navier-Stokes equations," 2023, Ensaios Matemáticos

Frequent collaborators of Sinai include:

  • O. V. Pochinka
  • А. И. Шафаревич
  • Konstantin Khanin
  • C. Boldrighini
  • S. Frigio

The most common venues where Sinai's research has been published consist of:

  • Успехи математических наук
  • Durham Research Online (Durham University)
  • Journal of Statistical Physics
  • Notices of the American Mathematical Society
  • Ensaios Matemáticos

Throughout their career, Sinai has been recognized with multiple awards, including:

  • Abel Prize, 2014, for fundamental contributions to dynamical systems, ergodic theory, and mathematical physics
  • Steele Prize for Lifetime Achievement, 2013
  • Fellow of the American Mathematical Society, 2013
  • Fellow of the Royal Society, United Kingdom, 2009
  • Member of Academia Europaea, 2008
  • Wolf Prize in Mathematics, 1996, for contributions to mathematically rigorous methods in statistical mechanics and ergodic theory of dynamical systems and their applications in physics
  • Dannie Heineman Prize for Mathematical Physics, 1990
  • Fellow of the American Academy of Arts and Sciences, 1983

Best Publications

  • Ergodic Theory

    I. P. Cornfeld;Y. G. Sinai;S. V. Fomin

  • GIBBS MEASURES IN ERGODIC THEORY

    Yakov G Sinai

  • Dynamical systems with elastic reflections

    Yakov G Sinai

  • Statistical properties of Lorentz gas with periodic configuration of scatterers

    L. A. Bunimovich;Yakov G. Sinai

  • Generalized variational principles, global weak solutions and behavior with random initial data for systems of conservation laws arising in adhesion particle dynamics

    Weinan E;Yu G. Rykov;Yakov G. Sinai

  • Markov partitions and C-diffeomorphisms

    Ya. G. Sinai

  • Spacetime chaos in coupled map lattices

    L A Bunimovich;Ya G Sinai

  • SOME SMOOTH ERGODIC SYSTEMS

    Dmitry V Anosov;Yakov G Sinai

  • Statistical properties of two-dimensional hyperbolic billiards

    L A Bunimovich;Yakov G Sinai;N I Chernov

  • Markov partitions for dispersed billiards

    L. A. Bunimovich;Ya. G. Sinai

  • Invariant measures for Burgers equation with stochastic forcing

    Weinan E;Konstantin Khanin;Alexander Mazel;Yakov Sinai

  • Statistics of shocks in solutions of inviscid Burgers equation

    Yakov G. Sinai

  • Gibbs measures for partially hyperbolic attractors

    Ya. B. Pesin;Ya. G. Sinai

  • Steady-state electrical conduction in the periodic Lorentz gas

    N. I. Chernov;G. L. Eyink;Joel Lebowitz;Ya G. Sinai

  • Theory of probability and random processes

    Leonid B. Koralov;Yakov G. Sinai

  • Topics in Ergodic Theory

    Ya. G. Sinai;Barry Simon

  • Markov partitions for two-dimensional hyperbolic billiards

    L A Bunimovich;Yakov G Sinai;N I Chernov

  • Gibbsian Dynamics and Ergodicity¶for the Stochastically Forced Navier–Stokes Equation

    Weinan E;J. C. Mattingly;Yakov G. Sinai

  • Limiting probability distributions of a passive scalar in a random velocity field.

    Yakov G. Sinai;Victor Yakhot

  • Derivation of Ohm's law in a deterministic mechanical model.

    N. I. Chernov;G. L. Eyink;J. L. Lebowitz;Ya. G. Sinai

Frequent Co-Authors

S. P. Novikov
S. P. Novikov Russian Academy of Sciences
Vladimir I. Arnold
Vladimir I. Arnold Russian Academy of Sciences
Leonid A. Bunimovich
Leonid A. Bunimovich Georgia Institute of Technology
Albert N. Shiryaev
Albert N. Shiryaev Steklov Mathematical Institute
Nikolai Chernov
Nikolai Chernov University of Alabama at Birmingham
Weinan E
Weinan E Princeton University
Alexander V. Mikhailov
Alexander V. Mikhailov University of Leeds
Jonathan C. Mattingly
Jonathan C. Mattingly Duke University
Vladimir E. Fortov
Vladimir E. Fortov Russian Academy of Sciences
Joel L. Lebowitz
Joel L. Lebowitz Rutgers, The State University of New Jersey

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