Sanju Velani

Mathematical Physics · 2000–2016

A researcher in the Science corpus: 16 papers; trusts 12 researchers and is trusted by 21 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 36 citations into it; #767 of 8,562 by trust here, #494 by citations
• Geometry and Topology — 26 citations into it; #857 of 7,422 by trust here, #775 by citations
• Computational Theory and Mathematics — 11 citations into it; #8,646 of 12,182 by trust here, #8,756 by citations
• Statistical and Nonlinear Physics — 7 citations into it; #5,133 of 10,127 by trust here, #4,820 by citations
• Algebra and Number Theory — 5 citations into it; #1,219 of 2,864 by trust here, #698 by citations

Whom Sanju Velani trusts overall

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

1. Victor Beresnevich
2. Dmitry Kleinbock
3. Detta Dickinson
4. V. Bernik
5. Barak Weiss
6. Dzmitry Badziahin
7. Yann Bugeaud
8. Manfred Einsiedler

Who trusts Sanju Velani overall

1. Victor Beresnevich
2. Yann Bugeaud
3. Felipe A. Ram'irez
4. Bao-Wei Wang
5. A. Fan
6. Lior Fishman
7. Bing Li
8. T. Jordan
9. Dmitry Kleinbock
10. Mumtaz Hussain

Papers from Sanju Velani's perspective

Ordered by how strongly the researchers Sanju Velani 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. Badly approximable vectors on fractals
3. Modified Schmidt games and Diophantine approximation with weights
4. The shrinking target property of irrational rotations
5. Diophantine approximation and badly approximable sets
6. Invariant measures and the set of exceptions to Littlewood's conjecture
7. Classical metric Diophantine approximation revisited
8. Diophantine approximation onplanar curves andthe distribution of rational points
9. Badly approximable points on manifolds
10. Diophantine approximation on planar curves: the convergence theory

Their papers

• On a problem in simultaneous diophantine approximation: Littlewood's conjecture (2000) — 72 citations
• Diophantine approximation on planar curves: the convergence theory (2006) — 105 citations
• Metric Diophantine Approximation : aspects of recent work (2016) — 93 citations
• Multiplicatively badly approximable numbers and generalised Cantor sets (2010) — 47 citations
• On a problem in simultaneous Diophantine approximation: Schmidt’s conjecture (2010) — 74 citations
• Classical Metric Diophantine Approximation Revisited: The Khintchine–Groshev Theorem (2008) — 78 citations
• Classical metric Diophantine approximation revisited (2008) — 71 citations
• On shrinking targets for Z^m actions on tori (2008) — 48 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
• On a problem of K. Mahler: Diophantine approximation and Cantor sets (2005) — 92 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
• Diophantine approximation and badly approximable sets (2004) — 87 citations
• Measure Theoretic Laws for Lim Sup Sets (2004) — 248 citations
• Sets of exact ‘logarithmic’ order in the theory of Diophantine approximation (2001) — 53 citations