Dmitry Kleinbock

Mathematical Physics · 2002–2017

A researcher in the Science corpus: 18 papers; trusts 21 researchers and is trusted by 25 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 61 citations into it; #525 of 8,562 by trust here, #296 by citations
• Geometry and Topology — 56 citations into it; #772 of 7,422 by trust here, #501 by citations
• Applied Mathematics — 12 citations into it; #2,406 of 7,620 by trust here, #2,707 by citations
• Computational Theory and Mathematics — 8 citations into it; #6,111 of 12,182 by trust here, #5,724 by citations
• Statistical and Nonlinear Physics — 7 citations into it; #3,073 of 10,127 by trust here, #3,869 by citations
• Condensed Matter Physics — 5 citations into it; #594 of 1,948 by trust here, #1,161 by citations

Whom Dmitry Kleinbock trusts overall

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

1. Barak Weiss
2. Victor Beresnevich
3. Elon Lindenstrauss
4. Gregory Margulis
5. V. Bernik
6. Dave Witte Morris
7. Manfred Einsiedler
8. Yair N. Minsky
9. Yann Bugeaud
10. Nimish A. Shah

Who trusts Dmitry Kleinbock overall

1. Victor Beresnevich
2. Lior Fishman
3. Yann Bugeaud
4. Barak Weiss
5. Ryan Broderick
6. Jinpeng An
7. François Maucourant
8. Y. Cheung
9. Manfred Einsiedler
10. Gregory Margulis

Papers from Dmitry Kleinbock's perspective

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

1. Almost no points on a Cantor set are very well approximable (Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences)
2. Extremal subspaces and their submanifolds
3. Badly approximable vectors on fractals
4. On Some Aspects of the Theory of Anosov Systems
5. On fractal measures and diophantine approximation
6. Ratner's Theorems on Unipotent Flows
7. Metric Diophantine approximation: The Khintchine--Groshev theorem for non-degenerate manifolds
8. Modified Schmidt games and Diophantine approximation with weights
9. Ergodic Theory: with a view towards Number Theory
10. Winning Sets, Quasiconformal Maps and Diophantine Approximation

Their papers

• Schmidt’s game, fractals, and orbits of toral endomorphisms (2010) — 55 citations
• Modified Schmidt games and Diophantine approximation with weights (2008) — 85 citations
• The set of badly approximable vectors is strongly C1 incompressible (2011) — 89 citations
• Hausdorff measure of sets of Dirichlet non-improvable numbers (2017) — 55 citations
• A zero-one Law for improvements to Dirichlet's Theorem (2016) — 88 citations
• Singular systems of linear forms and non-escape of mass in the space of lattices (2014) — 73 citations
• Modified Schmidt games and a conjecture of Margulis (2010) — 55 citations
• On effective equidistribution of expanding translates of certain orbits in the space of lattices (2007) — 50 citations
• DIRICHLET'S THEOREM ON DIOPHANTINE APPROXIMATION AND HOMOGENEOUS FLOWS (2006) — 96 citations
• Badly approximable vectors on fractals (2005) — 82 citations
• Measure rigidity and $p$-adic Littlewood-type problems (2005) — 49 citations
• An extension of quantitative nondivergence and applications to Diophantine exponents (2005) — 68 citations
• On fractal measures and diophantine approximation (2005) — 178 citations
• Flows on S-arithmetic homogeneous spaces and applications to metric Diophantine approximation (2005) — 112 citations
• Metric Diophantine approximation: The Khintchine--Groshev theorem for non-degenerate manifolds (2002) — 101 citations
• BOUNDED ORBITS OF NONQUASIUNIPOTENT FLOWS ON HOMOGENEOUS SPACES (2002) — 235 citations
• Extremal subspaces and their submanifolds (2002) — 84 citations
• Chapter 11 Dynamics of subgroup actions on homogeneous spaces of lie groups and applications to number theory (2002) — 85 citations