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Barvinok
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1	A centrally symmetric version of the cyclic polytope Alexander Barvinok ∗ Department of Mathematics, Add to Reading List Source URL: www.math.lsa.umich.edu Language: English - Date: 2007-01-05 09:26:24 Geometry Mathematics Space Polyhedral combinatorics Polytopes Cyclic polytope Upper bound theorem Simplex Face 4-polytope Ehrhart polynomial
2	NEIGHBORLINESS OF THE SYMMETRIC MOMENT CURVE Alexander Barvinok, Seung Jin Lee, and Isabella Novik November 2011 Abstract. We consider the convex hull Bk of the symmetric moment curve Uk (t) = Add to Reading List Source URL: www.math.washington.edu Language: English - Date: 2011-11-18 00:00:19
3	APPROXIMATING ORTHOGONAL MATRICES BY PERMUTATION MATRICES Alexander Barvinok October 2005 Abstract. Motivated in part by a problem of combinatorial optimization and in Add to Reading List Source URL: www.math.lsa.umich.edu Language: English - Date: 2005-10-31 12:56:55 Algebra Mathematics Linear algebra Matrices Orthogonal matrix Matrix Permutation matrix Normal distribution Permutation Positive-definite matrix Symmetric matrix Central limit theorem
4	A BOUND FOR THE NUMBER OF VERTICES OF A POLYTOPE WITH APPLICATIONS Alexander Barvinok April 2012 Abstract. We prove that the number of vertices of a polytope of a particular kind Add to Reading List Source URL: www.math.lsa.umich.edu Language: English - Date: 2012-04-23 12:14:14 Polytopes Orbifold PerronFrobenius theorem
5	APPROXIMATING PERMANENTS AND HAFNIANS Alexander Barvinok May 2016 Abstract. We prove that the logarithm of the permanent of an n × n real matrix A and the logarithm of the hafnian of a 2n × 2n real symmetric matrix A Add to Reading List Source URL: www.math.lsa.umich.edu Language: English - Date: 2016-05-16 14:08:01 Algebra Mathematics Matrix theory Matrices Linear algebra Matrix Complex number Symmetric matrix Permanent Factorial
6	Lattice Points, Polyhedra, and Complexity Alexander Barvinok IAS/Park City Mathematics Series Volume , 2004 Add to Reading List Source URL: www.math.lsa.umich.edu Language: English - Date: 2004-11-01 10:23:42 Polyhedron Functions and mappings Algebraic varieties Euler characteristic Integer points in convex polyhedra Limit of a function Lattice Rational function Series Regular polyhedron
7	MATH 669: COMBINATORICS, GEOMETRY AND COMPLEXITY OF INTEGER POINTS Alexander Barvinok Abstract. These are rather condensed notes, not really proofread or edited, presenting key definitions and results of the course that Add to Reading List Source URL: www.math.lsa.umich.edu Language: English - Date: 2011-05-27 13:17:33 Leech lattice Moonshine theory Lattice Spectral theory of ordinary differential equations Lambda calculus
8	COMPUTING THE PARTITION FUNCTION FOR GRAPH HOMOMORPHISMS ´n Alexander Barvinok and Pablo Sobero May 2015 Add to Reading List Source URL: www.math.lsa.umich.edu Language: English - Date: 2015-05-01 16:21:13 Graph theory Mathematics NP-complete problems Graph coloring Line graph Graph homomorphism Approximately finite-dimensional C*-algebra Orbifold
9	AN ASYMPTOTIC FORMULA FOR THE NUMBER OF NON-NEGATIVE INTEGER MATRICES WITH PRESCRIBED ROW AND COLUMN SUMS Alexander Barvinok and J.A. Hartigan March 2011 Add to Reading List Source URL: www.math.lsa.umich.edu Language: English - Date: 2011-03-10 19:58:36 Mathematics Algebra Mathematical analysis Matrix theory Linear algebra Normal distribution Determinant Matrix Central limit theorem Random permutation statistics Matrix exponential
10	Explicit constructions of centrally symmetric k-neighborly polytopes and large strictly antipodal sets Alexander Barvinok ∗ Add to Reading List Source URL: www.math.washington.edu Language: English