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D-Index & Metrics

Mathematics

D-Index
39
Citations
11327
World Ranking
2129
National Ranking
901

Research.com Recognitions

  • 2019 - Member of Academia Europaea
  • 2013 - Fellow of the American Mathematical Society

Overview

Yakov Pesin is affiliated with Pennsylvania State University in the United States. Their research primarily spans the fields of Mathematics, Physics and Astronomy, and Engineering, with notable focus areas in Statistical and Nonlinear Physics, Mathematical Physics, Geometry and Topology, Control and Systems Engineering, and Applied Mathematics.

The scientific topics covered by their work include Mathematical Dynamics and Fractals, Quantum Chaos and Dynamical Systems, Advanced Differential Equations and Dynamical Systems, Stability and Controllability of Differential Equations, Scientific Research and Discoveries, Theoretical and Computational Physics, and Chaos Control and Synchronization.

Among Yakov Pesin's recent publications are:

  • "Dynamical Morse entropy" (2024), published in arXiv (Cornell University)
  • "The essential coexistence phenomenon in Hamiltonian dynamics" (2021), published in Ergodic Theory and Dynamical Systems
  • "SRB Measures and Young Towers for Surface Diffeomorphisms" (2021), published in Annales Henri Poincaré
  • "Thermodynamics of the Katok map - CORRIGENDUM" (2020), published in Ergodic Theory and Dynamical Systems
  • "Area preserving surface diffeomorphisms with polynomial decay of correlations are ubiquitous" (2020), published in arXiv (Cornell University)

Frequent co-authors collaborating with Yakov Pesin include:

  • Luís Barreira
  • Boris Hasselblatt
  • Svetlana Katok
  • Bassam Fayad
  • Giovanni Forni

The venues where Yakov Pesin has published multiple works include:

  • arXiv (Cornell University)
  • Ergodic Theory and Dynamical Systems
  • Annales Henri Poincaré
  • Stochastics and Dynamics
  • Теория вероятностей и ее применения

Yakov Pesin has authored several book publications. Notably, three volumes titled "The Collected Works of Anatole Katok" were published by World Scientific in 2021. Additionally, they authored "Introduction to Smooth Ergodic Theory," published by the American Mathematical Society in 2023.

Among their recognitions, Yakov Pesin was named a Fellow of the American Mathematical Society in 2013 and was elected Member of Academia Europaea in 2019.

Best Publications

  • CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY

    Yakov B. Pesin

  • Dimension theory in dynamical systems

    Yakov B. Pesin

  • Dimension Theory in Dynamical Systems: Contemporary Views and Applications

    Yakov B. Pesin

  • Nonuniform Hyperbolicity: Dynamics of Systems with Nonzero Lyapunov Exponents

    Luis Barreira;Yakov Pesin

  • Lyapunov Exponents and Smooth Ergodic Theory

    Luis M. Barreira;Yakov B. Pesin

  • DIMENSION THEORY IN DYNAMICAL SYSTEMS: CONTEMPORARY VIEWS AND APPLICATIONS By YAKOV B. PESIN Chicago Lectures in Mathematics, University of Chicago Press, 312 pp. Price: hardback $56, paperback $19.95. ISBN 0 226 66222 5

    Yakov B. Pesin

  • Nonuniform Hyperbolicity: General Hyperbolic Measures

    Luis Barreira;Yakov Pesin

  • Topological pressure and the variational principle for noncompact sets

    Ya. B. Pesin;B. S. Pitskel

  • Nonuniform Hyperbolicity: Ergodic Theory of Smooth and SRB Measures

    Luis Barreira;Yakov Pesin

  • Gibbs measures for partially hyperbolic attractors

    Ya. B. Pesin;Ya. G. Sinai

  • Lectures on Partial Hyperbolicity and Stable Ergodicity

    Yakov B. Pesin

  • Dimension and product structure of hyperbolic measures

    Luis Barreira;Yakov Pesin;Jörg Schmeling

  • A MULTIFRACTAL ANALYSIS OF EQUILIBRIUM MEASURES FOR CONFORMAL EXPANDING MAPS AND MORAN-LIKE GEOMETRIC CONSTRUCTIONS

    Yakov Pesin;Howard Weiss

  • Dynamical systems with generalized hyperbolic attractors: hyperbolic, ergodic and topological properties

    Ya. B. Pesin

  • On a general concept of multifractality: Multifractal spectra for dimensions, entropies, and Lyapunov exponents. Multifractal rigidity

    Luis Barreira;Yakov Pesin;Jörg Schmeling

  • The multifractal analysis of Gibbs measures: Motivation, mathematical foundation, and examples.

    Yakov Pesin;Howard Weiss

  • On Rigorous Mathematical Definitions of Correlation Dimension and Generalized Spectrum for Dimensions

    Yakov B. Pesin

  • On the dimension of deterministic and random Cantor-like sets, symbolic dynamics, and the Eckmann-Ruelle conjecture

    Yakov Pesin;Howard Weiss

  • Equilibrium measures for maps with inducing schemes

    Yakov Pesin;Samuel Senti

  • Smooth Ergodic Theory and Its Applications

    Anatole Katok;Rafael de la Llave;Yakov Pesin;Howard Weiss

  • The Multiplicative Ergodic Theorem

    Luis Barreira;Yakov Pesin

Frequent Co-Authors

Luis Barreira
Luis Barreira University of Lisbon
Anatole Katok
Anatole Katok Pennsylvania State University
Yakov G. Sinai
Yakov G. Sinai Princeton University
Mark Pollicott
Mark Pollicott University of Warwick
Leonid A. Bunimovich
Leonid A. Bunimovich Georgia Institute of Technology
Mark L. Latash
Mark L. Latash Pennsylvania State University
Dmitry Turaev
Dmitry Turaev Imperial College London
Rafael de la Llave
Rafael de la Llave Georgia Institute of Technology
George M. Zaslavsky
George M. Zaslavsky Courant Institute of Mathematical Sciences

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