Jakow Borissowitsch Pessin
Jakow Borissowitsch Pessin ( Russian Яков Борисович Песин , English transcription Yakov Pesin ; * 1946 in Moscow ) is a Russian mathematician who deals with dynamic systems and ergodic theory.
Pessin studied at the Lomonosov University (with a diploma in 1970) and received his doctorate in 1979 at the Gorki State University under Dmitri Viktorovich Anossov . From 1970 to 1984 he worked mostly as a programmer at various Moscow institutes. He could only do mathematics in his spare time. In the late 1980s he went to the University of Chicago as a visiting professor . Since 1990 he has been at Pennsylvania State University , where he is a professor.
An entropy formula for invariant measures in dynamic systems and the theory of non-uniform hyperbolicity ( Pesin theory ) are named after him .
Pesin is the editor of Ergodic Theory and Dynamical Systems .
He is a Fellow of the American Mathematical Society and has been a member of the Academia Europaea since 2019 .
Fonts
- Dimension theory in dynamical systems: contemporary views and applications, University of Chicago Press 1998
- with Luis Barreira Lyapunov exponents and smooth ergodic theory , American Mathematical Society 2001
- Lectures on partial hyperbolicity and stable ergodicity , European Mathematical Society 2004
- with Barreira Nonuniformly hyperbolicity: dynamics of systems with nonzero Lyapunov exponents , Encyclopedia of Mathematics and its Applications, Cambridge University Press 2007
- with Vaughn Climenhaga Lectures on fractal geometry and dynamical systems , American Mathematical Society 2009
- with Jakow Grigorjewitsch Sinai Hyperbolicity and Stochasticity of Dynamical Systems , Soviet Science Reviews, Sect. C: Math. Phys. Vol. 2, 1981, Harwood Acad. Publ., Pp. 53-115
- Geodesic flows with hyperbolic behavior of the trajectories and objects connected with them , Russ. Math. Surveys, Volume 36, 1981, pp. 3--15
- with V. Afraimovich Dimension of Lorenz type attractors , Soviet Science Reviews, Sect. C: Math. Phys. Volume 6, Harwood Acad. Publ., 1987, pp. 169-241
- General Theory of Smooth Dynamical Systems , in Sinai (Editor): Encyclopedia of Mathematical Sciences 100, Dynamical systems. II. Ergodic theory with applications to dynamical systems and statistical mechanics, 2nd edition, Springer-Verlag, 1999
- with Barreira Smooth Ergodic Theory and Nonuniformly Hyperbolic Dynamics in Boris Hasselblatt, Anatole Katok (editor) Handbook of Dynamical Systems, Volume 1B, Elsevier 2005
- with Boris Hasselblatt Partially Hyperbolic Dynamical Systems , in Hasselblatt, Katok (editor): Handbook of Dynamical Systems, Volume 1B, Elsevier 2005
- Scholarpedia article with Hasselblatt: Hyperbolic dynamics , Nonuniform hyperbolicity , Partial Hyperbolicity , Pesin Entropy Formula
- with Michael Brin : Partially hyperbolic dynamical systems. (Russian) Izv. Akad. Nauk SSSR Ser. Mat. 38: 170-212 (1974).
- Characteristic Ljapunov exponents, and smooth ergodic theory. (Russian) Uspehi Mat. Nauk 32 (1977), no. 4 (196), 55–112, 287. (English translation: Russian Math. Surveys 32 (1977), no. 4, 55–114.)
- with Sinai: Gibbs measures for partially hyperbolic attractors. Ergodic Theory Dynam. Systems 2 (1982), no. 3-4, 417-438 (1983).
- with BS Pitskel ': Topological pressure and the variational principle for noncompact sets. (Russian) functional. Anal. i prilozhen. 18, no. 4, 50-63, 96 (1984).
- with Howard Weiss: A multifractal analysis of equilibrium measures for conformal expanding maps and Moran-like geometric constructions. J. Statist. Phys. 1997, 86, no. 1-2, 233-275.
- with Luis Barreira, Jörg Schmeling: Dimension and product structure of hyperbolic measures. Ann. of Math. (2) 149 (1999) no. 3, 755-783.
Web links
Individual evidence
- ↑ Mathematics Genealogy Projec
- ↑ See his Scholarpedia article
| personal data | |
|---|---|
| SURNAME | Pessin, Jakow Borissowitsch |
| ALTERNATIVE NAMES | Песин, Яков Борисович (Russian); Pesin, Yakov |
| BRIEF DESCRIPTION | Russian mathematician |
| DATE OF BIRTH | 1946 |
| PLACE OF BIRTH | Moscow |