Dmitry Dolgopyat

Mathematical Physics · 2001–2007

A researcher in the Science corpus: 8 papers; trusts 13 researchers and is trusted by 32 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 36 citations into it; #378 of 8,562 by trust here, #789 by citations
• Statistical and Nonlinear Physics — 24 citations into it; #711 of 10,127 by trust here, #2,213 by citations
• Geometry and Topology — 12 citations into it; #2,443 of 7,422 by trust here, #4,709 by citations
• Computer Networks and Communications — 5 citations into it

Whom Dmitry Dolgopyat trusts overall

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

1. C. Bonatti
2. José F. Alves
3. Jairo Bochi
4. Amie Wilkinson
5. Marcelo Viana
6. Dmitry Kleinbock
7. Luís Barreira
8. David Ruelle
9. L. Arnold
10. Yakov Pesin

Who trusts Dmitry Dolgopyat overall

1. David Kelly
2. Ian Melbourne
3. S. Gouëzel
4. N. Haydn
5. P. P. Varj'u
6. Luís Barreira
7. Keith Burns
8. Artur Avila
9. Marcelo Viana
10. Yakov Pesin

Papers from Dmitry Dolgopyat's perspective

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

1. Pathological foliations and removable zero exponents
2. SRB measures for partially hyperbolic systems whose central direction is mostly expanding
3. Absolutely Singular Dynamical Foliations
4. On Some Aspects of the Theory of Anosov Systems
5. MINIMALITY OF STRONG STABLE AND UNSTABLE FOLIATIONS FOR PARTIALLY HYPERBOLIC DIFFEOMORPHISMS (Journal of the Institute of Mathematics of Jussieu)
6. Ergodic Properties of Geodesic Flows on Closed Riemannian Manifolds of Negative Curvature
7. Genericity of zero Lyapunov exponents (Ergodic Theory and Dynamical Systems)
8. GÉNÉRICITÉ D'EXPOSANTS DE LYAPUNOV NON-NULS POUR DES PRODUITS DÉTERMINISTES DE MATRICES GENERICITY OF NON-ZERO LYAPUNOV EXPONENTS FOR DETERMINISTIC PRODUCTS OF MATRICES
9. Random Dynamical Systems
10. Limit theorems for partially hyperbolic systems

Their papers

• Stable ergodicity for partially hyperbolic attractors with negative central exponents (2007) — 47 citations
• Averaging and Invariant Measures (2005) — 57 citations
• On differentiability of SRB states for partially hyperbolic systems (2004) — 179 citations
• Limit theorems for partially hyperbolic systems (2003) — 247 citations
• On mixing properties of compact group extensions of hyperbolic systems (2002) — 116 citations
• Every compact manifold carries a completely hyperbolic diffeomorphism (2002) — 71 citations
• Stable accessibility is C1 dense (2001) — 46 citations
• Sample path properties of the stochastic flows (2001) — 50 citations