Yakov Pesin

Mathematical Physics · 2000–2013

A researcher in the Science corpus: 13 papers; trusts 23 researchers and is trusted by 30 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 83 citations into it; #955 of 8,562 by trust here, #851 by citations
• Statistical and Nonlinear Physics — 53 citations into it; #4,260 of 10,127 by trust here, #4,137 by citations
• Geometry and Topology — 31 citations into it
• Applied Mathematics — 11 citations into it
• Computational Theory and Mathematics — 11 citations into it
• Computer Networks and Communications — 7 citations into it

Whom Yakov Pesin trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Dmitry Dolgopyat
2. C. Bonatti
3. O. Sarig
4. Jairo Bochi
5. José F. Alves
6. Luís Barreira
7. L. Arnold
8. S. Gouëzel
9. Liverani Carlangelo
10. Marcelo Viana

Who trusts Yakov Pesin overall

1. F. Przytycki
2. Luís Barreira
3. Keith Burns
4. Z. Wang
5. A. J. G. Bento
6. Charalampos Skokos
7. Adam Czornik
8. Dmitry Dolgopyat
9. F. R. Hertz
10. Juan Rivera-Letelier

Papers from Yakov Pesin's perspective

Ordered by how strongly the researchers Yakov Pesin trusts endorse each paper. Same corpus, a different order for every researcher.

1. Pathological foliations and removable zero exponents
2. GÉNÉRICITÉ D'EXPOSANTS DE LYAPUNOV NON-NULS POUR DES PRODUITS DÉTERMINISTES DE MATRICES GENERICITY OF NON-ZERO LYAPUNOV EXPONENTS FOR DETERMINISTIC PRODUCTS OF MATRICES
3. Random Dynamical Systems
4. On Contact Anosov Flows
5. Exponential decay of correlations for surface semi-flows without finite Markov partitions
6. Sharp polynomial estimates for the decay of correlations
7. Ruelle?Perron?Frobenius spectrum for Anosov maps
8. SRB measures and Pesin’s entropy formula for endomorphisms
9. Limit theorems for partially hyperbolic systems
10. Absolutely continuous invariant measures for multidimensional expanding maps

Their papers

• Introduction to Smooth Ergodic Theory (2013) — 47 citations
• The Multiplicative Ergodic Theorem (2013) — 309 citations
• Nonuniform Hyperbolicity: Dynamics of Systems with Nonzero Lyapunov Exponents (2007) — 323 citations
• Stable ergodicity for partially hyperbolic attractors with negative central exponents (2007) — 47 citations
• Nonuniform Hyperbolicity: Ergodic Theory of Smooth and SRB Measures (2007) — 179 citations
• Equilibrium measures for maps with inducing schemes (2006) — 78 citations
• Chapter 2 – Smooth Ergodic Theory and Nonuniformly Hyperbolic Dynamics (2006) — 62 citations
• Lectures on Partial Hyperbolicity and Stable Ergodicity (2004) — 294 citations
• Lyapunov Exponents and Smooth Ergodic Theory (2002) — 377 citations
• Every compact manifold carries a completely hyperbolic diffeomorphism (2002) — 71 citations
• Smooth Ergodic Theory and Its Applications (2001) — 67 citations
• The multifractal analysis of Birkhoff averages and large deviations (2001) — 61 citations
• Proceedings of Symposia in Pure Mathematics Lectures on Lyapunov Exponents and Smooth Ergodic Theory (2000) — 50 citations