Alexander I. Barvinok

Computational Theory and Mathematics · 1990–2012

A researcher in the Science corpus: 9 papers; trusts 8 researchers and is trusted by 47 researchers here, as inferred from the citation graph.

Subfields

• Computational Theory and Mathematics — 5 citations into it; #455 of 12,182 by trust here, #1,890 by citations
• Discrete Mathematics and Combinatorics — 5 citations into it; #935 of 2,017 by trust here, #1,051 by citations

Whom Alexander I. Barvinok trusts overall

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

1. Yurii E. Nesterov
2. Keith Ball
3. Arkadi Nemirovski
4. K. Boroczky
5. Leonid Gurvits
6. V. V. Buldygin
7. Michel Ledoux
8. Colin J. H. McDiarmid
9. Igor Pak

Who trusts Alexander I. Barvinok overall

1. Francis R. Bach
2. Sariel Har-Peled
3. Leo Liberti
4. Robert Chares
5. J. D. Loera
6. Christian Haase
7. E.J. Candes
8. Pablo A. Parrilo
9. Michele Conforti
10. Yue Xiang

Papers from Alexander I. Barvinok's perspective

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

1. Brunn-Minkowski inequality
2. Interior-point polynomial algorithms in convex programming
3. Effective lattice point counting in rational convex polytopes (Journal of symbolic computation)
4. The concentration of measure phenomenon
5. An elementary introduction to modern convex geometry, in flavors of geometry
6. Asymptotic estimates for the number of contingency tables, integer flows, and volumes of transportation polytopes
7. A Relationship Between Arbitrary Positive Matrices and Doubly Stochastic Matrices
8. Approximation of General Smooth Convex Bodies
9. Classical complexity and quantum entanglement (Journal of computer and system sciences (Print))
10. On the number of matrices and a random matrix with prescribed row and column sums and 0–1 entries☆

Their papers

• Thrifty approximations of convex bodies by polytopes (2012) — 62 citations
• A course in convexity (2002) — 910 citations
• An asymptotic formula for the number of non-negative integer matrices with prescribed row and column sums (2009) — 52 citations
• Asymptotic estimates for the number of contingency tables, integer flows, and volumes of transportation polytopes (2007) — 46 citations
• Short rational generating functions for lattice point problems (2002) — 194 citations
• Matrices with prescribed row and column sums (2010) — 52 citations
• Integer Points in Polyhedra (2008) — 103 citations
• On the number of matrices and a random matrix with prescribed row and column sums and 0–1 entries☆ (2008) — 81 citations
• Computational complexity of immanents and representations of the full linear group (1990)