Victor Beresnevich

Mathematical Physics · 2001–2016

A researcher in the Science corpus: 13 papers; trusts 15 researchers and is trusted by 18 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 40 citations into it; #999 of 8,562 by trust here, #773 by citations
• Geometry and Topology — 28 citations into it; #745 of 7,422 by trust here, #631 by citations
• Computational Theory and Mathematics — 9 citations into it; #5,360 of 12,182 by trust here, #10,901 by citations
• Statistical and Nonlinear Physics — 5 citations into it; #6,394 of 10,127 by trust here, #8,564 by citations

Whom Victor Beresnevich trusts overall

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

1. Dmitry Kleinbock
2. Sanju Velani
3. Dzmitry Badziahin
4. Barak Weiss
5. V. Bernik
6. Detta Dickinson
7. Lior Fishman
8. Robert C. Vaughan
9. Glyn Harman
10. Jinpeng An

Who trusts Victor Beresnevich overall

1. Dmitry Kleinbock
2. Yann Bugeaud
3. Sanju Velani
4. Felipe A. Ram'irez
5. Bao-Wei Wang
6. A. Fan
7. Bing Li
8. Robert C. Vaughan
9. Mumtaz Hussain
10. Jun Wu

Papers from Victor Beresnevich's perspective

Ordered by how strongly the researchers Victor Beresnevich 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. Modified Schmidt games and Diophantine approximation with weights
3. Badly approximable vectors on fractals
4. Diophantine approximation and badly approximable sets
5. Invariant measures and the set of exceptions to Littlewood's conjecture
6. Extremal subspaces and their submanifolds
7. The shrinking target property of irrational rotations
8. On fractal measures and diophantine approximation
9. Diophantine approximation onplanar curves andthe distribution of rational points
10. Classical metric Diophantine approximation revisited

Their papers

• Badly approximable points on manifolds (2013) — 65 citations
• Metric Diophantine Approximation : aspects of recent work (2016) — 93 citations
• Rational points near manifolds and metric Diophantine approximation (2009) — 113 citations
• Classical Metric Diophantine Approximation Revisited: The Khintchine–Groshev Theorem (2008) — 78 citations
• Classical metric Diophantine approximation revisited (2008) — 71 citations
• Diophantine approximation on planar curves and the distribution of rational points (with an appendix "Sum of two squares near perfect squares" by R.C. Vaughan) (2007) — 59 citations
• Schmidt's theorem, Hausdorff measures, and slicing (2005) — 60 citations
• A mass transference principle and the Duffin-Schaeffer conjecture for Hausdorff measures (2004) — 264 citations
• Diophantine approximation onplanar curves andthe distribution of rational points (2004) — 76 citations
• Measure Theoretic Laws for Lim Sup Sets (2004) — 248 citations
• Metric Diophantine approximation: The Khintchine--Groshev theorem for non-degenerate manifolds (2002) — 101 citations
• A Groshev Type Theorem for Convergence on Manifolds (2002) — 102 citations
• Sets of exact ‘logarithmic’ order in the theory of Diophantine approximation (2001) — 53 citations