معرفی
Yakov Pesin is a Distinguished Professor of Mathematics at Pennsylvania State University's Eberly College of Science, where he has served since 1990 and currently directs the Anatole Katok Center for Dynamical Systems and Geometry (established 2018). His career spans prestigious institutions worldwide, including visiting professorships at ETH Zurich, University of Maryland, and Research Institute in Mathematical Science in Kyoto.
- 1968 B.S. from Moscow State University, Russia
- 1970 M.S. from Moscow State University, Russia (with honors)
- 1979 Ph.D. from Gorky State University, Russia under advisor Prof. D. V. Anosov
Pesin's research focuses on dynamical systems theory, where he pioneered the groundbreaking non-uniform hyperbolicity theory (commonly known as Pesin theory). His work bridges mathematical physics, ergodic theory, and geometric measure theory, with particular emphasis on Lyapunov exponents, dimension theory, and Riemannian geometry. His theoretical frameworks have provided essential tools for analyzing chaotic behavior in systems ranging from geodesic flows to coupled map lattices.
His publications reveal a sustained research trajectory centered on understanding hyperbolic behavior in dynamical systems, with significant contributions to dimension theory of invariant sets, ergodic properties of non-uniformly hyperbolic systems, and applications to mathematical physics. The consistent citation pattern (over 5,000 total citations with steady annual counts) demonstrates enduring influence across mathematics and theoretical physics.
Scientific Awards:
- Inaugural class of Fellows of the American Mathematical Society (2012)
- Bernoulli Lecture at École Polytechnique Fédérale de Lausanne (2013)
- Invited Speaker at International Congress of Mathematicians (1986)
- Multiple invited addresses at AMS and SIAM meetings
Pesin has received continuous National Science Foundation support since 1991, including individual research grants, collaborative projects, and numerous conference/travel awards. His extensive visiting appointments at major mathematical centers worldwide—including IHES, Newton Institute, Max Planck Institute, and Fields Institute—demonstrate his international standing in the mathematical community.
As Director of the Anatole Katok Center for Dynamical Systems and Geometry, Pesin leads a vibrant research group advancing the frontiers of dynamical systems theory, fostering collaborations between pure and applied mathematicians working on problems ranging from theoretical foundations to applications in physics and biology.
