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Alexander Barvinok

Affiliations: 
University of Michigan, Ann Arbor, Ann Arbor, MI 
Area:
Mathematics
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"Alexander Barvinok"
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Children

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Kevin M. Woods grad student 2004 University of Michigan
Grigoriy Blekherman grad student 2005 University of Michigan
Austin W. Shapiro grad student 2011 University of Michigan

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Publications

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Barvinok A. (2016) Concentration of the mixed discriminant of well-conditioned matrices Linear Algebra and Its Applications. 493: 120-133
Barvinok A. (2016) Computing the Permanent of (Some) Complex Matrices Foundations of Computational Mathematics. 16: 329-342
Barvinok A. (2014) Thrifty approximations of convex bodies by polytopes International Mathematics Research Notices. 2014: 4341-4356
Barvinok A, Lee SJ, Novik I. (2013) Centrally symmetric polytopes with many faces Israel Journal of Mathematics. 195: 457-472
Barvinok A. (2013) A bound for the number of vertices of a polytope with applications Combinatorica. 33: 1-10
Barvinok A, Lee SJ, Novik I. (2013) Explicit Constructions of Centrally Symmetric k-Neighborly Polytopes and Large Strictly Antipodal Sets Discrete and Computational Geometry. 49: 429-443
Barvinok A, Hartigan JA. (2013) The number of graphs and a random graph with a given degree sequence Random Structures and Algorithms. 42: 301-348
Barvinok A, Hartigan JA. (2012) An asymptotic formula for the number of non-negative integer matrices with prescribed row and column sums Transactions of the American Mathematical Society. 364: 4323-43688
Barvinok A. (2012) Matrices with prescribed row and column sums Linear Algebra and Its Applications. 436: 820-844
Barvinok A, Samorodnitsky A. (2011) Computing the partition function for perfect matchings in a hypergraph Combinatorics Probability and Computing. 20: 815-835
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