V. Bernik

Mathematical Physics · 2000–2008

A researcher in the Science corpus: 3 papers; trusts 1 researcher and is trusted by 4 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 9 citations into it; #4,515 of 8,562 by trust here, #4,022 by citations

Whom V. Bernik trusts overall

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

1. Dmitry Kleinbock
2. Victor Beresnevich

Who trusts V. Bernik overall

1. Dmitry Kleinbock
2. Victor Beresnevich
3. Sanju Velani
4. Bao-Wei Wang
5. Detta Dickinson

Papers from V. Bernik's perspective

Ordered by how strongly the researchers V. Bernik 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. A mass transference principle and the Duffin-Schaeffer conjecture for Hausdorff measures
4. The shrinking target property of irrational rotations
5. Badly approximable vectors on fractals
6. On fractal measures and diophantine approximation
7. Modified Schmidt games and Diophantine approximation with weights
8. Schmidt’s game, fractals, and orbits of toral endomorphisms (Ergodic Theory and Dynamical Systems)
9. Winning Sets, Quasiconformal Maps and Diophantine Approximation
10. Metric Diophantine approximation: The Khintchine--Groshev theorem for non-degenerate manifolds

Their papers

• Classical metric Diophantine approximation revisited (2008) — 71 citations
• Metric Diophantine approximation: The Khintchine--Groshev theorem for non-degenerate manifolds (2002) — 101 citations
• Metric Diophantine Approximation on Manifolds (2000) — 52 citations