Alexander Barvinok

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All published works

Action	Title	Year	Authors
+ PDF Chat	On the zeros of partition functions with multi-spin interactions	2024	Alexander Barvinok
+ PDF Chat	A quick estimate for the volume of a polyhedron	2024	Alexander Barvinok Mark Rudelson
+ PDF Chat	Integrating Products of Quadratic Forms	2023	Alexander Barvinok
+ PDF Chat	Smoothed counting of 0–1 points in polyhedra	2022	Alexander Barvinok
+ PDF Chat	When a system of real quadratic equations has a solution	2022	Alexander Barvinok Mark Rudelson
+	Computing the theta function	2022	Alexander Barvinok
+ PDF Chat	A quick estimate for the volume of a polyhedron	2021	Alexander Barvinok Mark Rudelson
+	When the positive semidefinite relaxation guarantees a solution to a system of real quadratic equations.	2021	Alexander Barvinok
+ PDF Chat	More on zeros and approximation of the Ising partition function	2021	Alexander Barvinok Nicholas Barvinok
+	When a system of real quadratic equations has a solution	2021	Alexander Barvinok Mark Rudelson
+	A quick estimate for the volume of a polyhedron	2021	Alexander Barvinok Mark Rudelson
+	Smoothed counting of 0-1 points in polyhedra	2021	Alexander Barvinok
+ PDF Chat	A remark on approximating permanents of positive definite matrices	2020	Alexander Barvinok
+	Testing systems of real quadratic equations for approximate solutions.	2020	Alexander Barvinok
+	A remark on approximating permanents of positive definite matrices.	2020	Alexander Barvinok
+	A remark on approximating permanents of positive definite matrices	2020	Alexander Barvinok
+	Testing systems of real quadratic equations for approximate solutions	2020	Alexander Barvinok
+	Integrating products of quadratic forms	2020	Alexander Barvinok
+	Approximating real-rooted and stable polynomials, with combinatorial applications	2019	Alexander Barvinok
+ PDF Chat	Computing permanents of complex diagonally dominant matrices and tensors	2019	Alexander Barvinok
+ PDF Chat	Stability and complexity of mixed discriminants	2019	Alexander Barvinok
+ PDF Chat	Weighted counting of solutions to sparse systems of equations	2019	Alexander Barvinok Guus Regts
+	Stability and complexity of mixed discriminants	2018	Alexander Barvinok
+	Computing permanents of complex diagonally dominant matrices and tensors	2018	Alexander Barvinok
+	Searching for dense subsets in a graph via the partition function	2018	Alexander Barvinok Anthony Della Pella
+	The Tensorization Trick in Convex Geometry	2018	Alexander Barvinok
+	Approximating real-rooted and stable polynomials, with combinatorial applications	2018	Alexander Barvinok
+	Stability and complexity of mixed discriminants	2018	Alexander Barvinok
+	Computing permanents of complex diagonally dominant matrices and tensors	2018	Alexander Barvinok
+	Weighted counting of non-negative integer points in a subspace.	2017	Alexander Barvinok
+	Weighted counting of integer points in a subspace	2017	Alexander Barvinok Guus Regts
+ PDF Chat	Approximating permanents and hafnians	2017	Alexander Barvinok
+	Computing the Partition Function of a Polynomial on the Boolean Cube	2017	Alexander Barvinok
+	Counting Integer Points in Higher-Dimensional Polytopes	2017	Alexander Barvinok
+ PDF Chat	Computing the partition function for graph homomorphisms	2016	Alexander Barvinok Pablo Soberón
+	Approximating permanents and hafnians of positive matrices.	2016	Alexander Barvinok
+	Approximating permanents and hafnians	2016	Alexander Barvinok
+	Some algorithmic applications of partition functions in combinatorics	2016	Alexander Barvinok
+	Hafnians and Multidimensional Permanents	2016	Alexander Barvinok
+	The Graph Homomorphism Partition Function	2016	Alexander Barvinok
+	Partition Functions of Integer Flows	2016	Alexander Barvinok
+	The Matching Polynomial	2016	Alexander Barvinok
+	Approximating permanents and hafnians	2016	Alexander Barvinok
+ PDF Chat	Concentration of the mixed discriminant of well-conditioned matrices	2015	Alexander Barvinok
+	Computing the partition function for graph homomorphisms with multiplicities	2015	Alexander Barvinok Pablo Soberón
+	Concentration of the mixed discriminant of well-conditioned matrices	2015	Alexander Barvinok
+ PDF Chat	Computing the Permanent of (Some) Complex Matrices	2015	Alexander Barvinok
+ PDF Chat	None	2015	Alexander Barvinok
+	Concentration of the mixed discriminant of well-conditioned matrices	2015	Alexander Barvinok
+	Computing the partition function of a polynomial on the Boolean cube	2015	Alexander Barvinok
+	Computing the partition function for graph homomorphisms with multiplicities	2014	Alexander Barvinok Pablo Soberón
+	Computing the partition function for graph homomorphisms	2014	Alexander Barvinok Pablo Soberón
+	Computing the permanent of (some) complex matrices	2014	Alexander Barvinok
+	Computing the partition function for cliques in a graph	2014	Alexander Barvinok
+	Computing the partition function for graph homomorphisms	2014	Alexander Barvinok Pablo Soberón
+	Computing the partition function for graph homomorphisms with multiplicities	2014	Alexander Barvinok Pablo Soberón
+	Computing the permanent of (some) complex matrices	2014	Alexander Barvinok
+ PDF Chat	Convexity of the image of a quadratic map via the relative entropy distance	2013	Alexander Barvinok
+	Partition functions for dense instances of combinatorial enumeration problems	2013	Alexander Barvinok
+	Convexity of the image of a quadratic map via the relative entropy distance	2013	Alexander Barvinok
+ PDF Chat	Thrifty Approximations of Convex Bodies by Polytopes	2013	Alexander Barvinok
+ PDF Chat	Explicit Constructions of Centrally Symmetric $$k$$ -Neighborly Polytopes and Large Strictly Antipodal Sets	2013	Alexander Barvinok Seung Jin Lee Isabella Novik
+ PDF Chat	A bound for the number of vertices of a polytope with applications	2013	Alexander Barvinok
+	Partition functions for dense instances of combinatorial enumeration problems	2013	Alexander Barvinok
+	Convexity of the image of a quadratic map via the relative entropy distance	2013	Alexander Barvinok
+ PDF Chat	Centrally symmetric polytopes with many faces	2012	Alexander Barvinok Seung Jin Lee Isabella Novik
+	Thrifty approximations of convex bodies by polytopes	2012	Alexander Barvinok
+ PDF Chat	NEIGHBORLINESS OF THE SYMMETRIC MOMENT CURVE	2012	Alexander Barvinok Seung Jin Lee Isabella Novik
+	Explicit constructions of centrally symmetric k-neighborly polytopes and large strictly antipodal sets	2012	Alexander Barvinok Seung Jin Lee Isabella Novik
+ PDF Chat	An asymptotic formula for the number of non-negative integer matrices with prescribed row and column sums	2012	Alexander Barvinok J. A. Hartigan
+ PDF Chat	The number of graphs and a random graph with a given degree sequence	2012	Alexander Barvinok J. A. Hartigan
+	Approximations of convex bodies by polytopes and by projections of spectrahedra	2012	Alexander Barvinok
+	Explicit constructions of centrally symmetric k-neighborly polytopes and large strictly antipodal sets	2012	Alexander Barvinok Seung Jin Lee Isabella Novik
+	Thrifty approximations of convex bodies by polytopes	2012	Alexander Barvinok
+ PDF Chat	Computing the Partition Function for Perfect Matchings in a Hypergraph	2011	Alexander Barvinok Alex Samorodnitsky
+	A bound for the number of vertices of a polytope with applications	2011	Alexander Barvinok
+	Centrally symmetric polytopes with many faces	2011	Alexander Barvinok Seung Jin Lee Isabella Novik
+	Centrally symmetric polytopes with many faces	2011	Alexander Barvinok Seung Jin Lee Isabella Novik
+	A bound for the number of vertices of a polytope with applications	2011	Alexander Barvinok
+	Matrices with prescribed row and column sums	2010	Alexander Barvinok
+	Matrices with prescribed row and column sums	2010	Alexander Barvinok
+	Computing the partition function for perfect matchings in a hypergraph	2010	Alexander Barvinok Alex Samorodnitsky
+	None	2010	Alexander Barvinok Zur Luria Alex Samorodnitsky Alexander Yong
+ PDF Chat	What Does a Random Contingency Table Look Like?	2010	Alexander Barvinok
+	Maximum entropy Gaussian approximations for the number of integer points and volumes of polytopes	2010	Alexander Barvinok J. A. Hartigan
+ PDF Chat	An approximation algorithm for counting contingency tables	2010	Alexander Barvinok Zur Luria Alex Samorodnitsky Alexander Yong
+	The number of graphs and a random graph with a given degree sequence	2010	Alexander Barvinok J. A. Hartigan
+	Matrices with prescribed row and column sums	2010	Alexander Barvinok
+	Computing the partition function for perfect matchings in a hypergraph	2010	Alexander Barvinok Alex Samorodnitsky
+	On the number of matrices and a random matrix with prescribed row and column sums and 0–1 entries	2009	Alexander Barvinok
+	Maximum Entropy Edgeworth Estimates of Volumes of Polytopes	2009	Alexander Barvinok J. A. Hartigan
+	Maximum entropy Edgeworth estimates of the number of integer points in polytopes	2009	Alexander Barvinok J. A. Hartigan
+	An asymptotic formula for the number of non-negative integer matrices with prescribed row and column sums	2009	Alexander Barvinok J. A. Hartigan
+	Maximum entropy Gaussian approximation for the number of integer points and volumes of polytopes	2009	Alexander Barvinok J. A. Hartigan
+ PDF Chat	Asymptotic Estimates for the Number of Contingency Tables, Integer Flows, and Volumes of Transportation Polytopes	2008	Alexander Barvinok
+	A Centrally Symmetric Version of the Cyclic Polytope	2008	Alexander Barvinok Isabella Novik
+	Integer Points in Polyhedra	2008	Alexander Barvinok
+ PDF Chat	The computational complexity of convex bodies	2008	Alexander Barvinok Ellen Veomett
+	An approximation algorithm for counting contingency tables	2008	Alexander Barvinok Zur Luria Alex Samorodnitsky Alexander Yong
+	What does a random contingency table look like?	2008	Alexander Barvinok
+	On the number of matrices and a random matrix with prescribed row and column sums and 0-1 entries	2008	Alexander Barvinok
+ PDF Chat	A Centrally Symmetric Version of the Cyclic Polytope	2007	Alexander Barvinok Isabella Novik
+ PDF Chat	Enumerating Contingency Tables via Random Permanents	2007	Alexander Barvinok
+	The complexity of generating functions for integer points in polyhedra and beyond	2007	Alexander Barvinok
+ PDF Chat	Random weighting, asymptotic counting, and inverse isoperimetry	2007	Alexander Barvinok Alex Samorodnitsky
+	Convex geometry of orbits.	2007	Alexander Barvinok Grigoriy Blekherman
+	Asymptotic estimates for the number of contingency tables, integer flows, and volumes of transportation polytopes	2007	Alexander Barvinok
+	Counting magic squares in quasi-polynomial time	2007	Alexander Barvinok Alex Samorodnitsky Alexander Yong
+	Brunn–Minkowski inequalities for contingency tables and integer flows	2006	Alexander Barvinok
+ PDF Chat	Computing the Ehrhart quasi-polynomial of a rational simplex	2006	Alexander Barvinok
+ PDF Chat	Integration and Optimization of Multivariate Polynomials by Restriction onto a Random Subspace	2006	Alexander Barvinok
+ PDF Chat	Approximating Orthogonal Matrices by Permutation Matrices	2006	Alexander Barvinok
+	A centrally symmetric version of the cyclic polytope	2006	Alexander Barvinok Isabella Novik
+	Brunn-Minkowski Inequalities for Contingency Tables and Integer Flows	2006	Alexander Barvinok
+	The computational complexity of convex bodies	2006	Alexander Barvinok Ellen Veomett
+	Integer Points in Polyhedra — Geometry, Number Theory, Algebra, Optimization	2005	Alexander Barvinok Mattias Beck Christian Haase Bruce Reznick Volkmar Welker
+	Low rank approximations of symmetric polynomials and asymptotic counting of contingency tables	2005	Alexander Barvinok
+	Approximating orthogonal matrices by permutation matrices	2005	Alexander Barvinok
+	Integration and Optimization of Multivariate Polynomials by Restriction onto a Random Subspace	2005	Alexander Barvinok
+	Computing the Ehrhart quasi-polynomial of a rational simplex	2005	Alexander Barvinok
+	Enumerating contingency tables via random permanents	2005	Alexander Barvinok
+	Integer points in polyhedra - geometry, number theory, algebra, optimization : Proceedings of the AMS-IMS-SIAM Joint Summer Research Conference held in Snowbird, UT, July 13 - 17, 2003	2005	Matthias Beck Alexander Barvinok Christian Haase Bruce Reznick Volkmar Welker
+	Integer points in polyhedra : geometry, number theory, algebra, optimization : proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Integer Points in Polyhedra, July 13-17, 2003, Snowbird, Utah	2005	Alexander Barvinok
+	Lattice Points and Lattice Polytopes	2004	Alexander Barvinok
+ PDF Chat	Book Review: Discrete convex analysis	2004	Alexander Barvinok
+	Lattice Points, Polyhedra, and Complexity	2004	Alexander Barvinok Ezra Miller Victor Reiner Bernd Sturmfels
+ PDF Chat	The geometric maximum traveling salesman problem	2003	Alexander Barvinok Sándor P. Fekete David S. Johnson Arie Tamir Gerhard J. Woeginger Russ Woodroofe
+ PDF Chat	Short rational generating functions for lattice point problems	2003	Alexander Barvinok Kevin Woods
+	On the distribution of values in the quadratic assignment problem	2003	Alexander Barvinok Tamon Stephen
+	Random Weighting, Asymptotic Counting, and Inverse Isoperimetry	2003	Alexander Barvinok Alex Samorodnitsky
+	The Distribution of Values in the Quadratic Assignment Problem	2003	Alexander Barvinok Tamon Stephen
+ PDF Chat	Approximating a Norm by a Polynomial	2003	Alexander Barvinok
+	Random Weighting, Asymptotic Counting, and Inverse Isoperimetry	2003	Alexander Barvinok Alex Samorodnitsky
+	Convex Geometry of Orbits	2003	Alexander Barvinok Grigoriy Blekherman
+	A polynomial time algorithm for counting integral points in polyhedra when the dimension is fixed	2002	Alexander Barvinok
+	Integral geometry of higher-dimensional polytopes and the average case in combinatorial optimization	2002	Alexander Barvinok
+	Convex bodies and ellipsoids	2002	Alexander Barvinok
+	Lattice points and polyhedra	2002	Alexander Barvinok
+	Lattices and convex bodies	2002	Alexander Barvinok
+ PDF Chat	Convex sets at large	2002	Alexander Barvinok
+	Polarity, duality and linear programming	2002	Alexander Barvinok
+ PDF Chat	Estimating L∞ Norms by L2k Norms for Functions on Orbits	2002	Alexander Barvinok
+	The Distribution of Values in the Quadratic Assignment Problem	2002	Alexander Barvinok Tamon Stephen
+	Estimating Maximum by Moments for Functions on Orbits	2002	Alexander Barvinok
+	A Course in Convexity	2002	Alexander Barvinok
+	Short rational generating functions for lattice point problems	2002	Alexander Barvinok Kevin Woods
+	The Geometric Maximum Traveling Salesman Problem	2002	Alexander Barvinok Sándor P. Fekete David S. Johnson Arie Tamir Gerhard J. Woeginger Russ Woodroofe
+ PDF Chat	The distance approach to approximate combinatorial counting	2001	Alexander Barvinok Alex Samorodnitsky
+ PDF Chat	A Remark on the Rank of Positive Semidefinite Matrices Subject to Affine Constraints	2001	Alexander Barvinok
+	The distribution of values in the quadratic assignment problem	2001	Alexander Barvinok Tamon Stephen
+	Approximating a norm by a polynomial	2001	Alexander Barvinok
+	New Permanent Estimators via Non-Commutative Determinants	2000	Alexander Barvinok
+	The Distance Approach to Approximate Combinatorial Counting	2000	Alexander Barvinok Alex Samorodnitsky
+	An Algorithmic Theory of Lattice Points in Polyhedra	1999	Alexander Barvinok James Pommersheim
+ PDF Chat	Polynomial Time Algorithms to Approximate Permanents and Mixed Discriminants Within a Simply Exponential Factor	1999	Alexander Barvinok
+	Polynomial Time Algorithms to Approximate Permanents and Mixed Discriminants Within a Simply Exponential Factor This research was partially supported by Alfred P. Sloan Research Fellowship, by NSF Grants DMS 9501129 and DMS 9734138, and by the Mathematical Sciences Research Institute, Berkeley, CA through NSF Grant DMS 9022140.	1999	Alexander Barvinok
+	Measure concentration in optimization	1997	Alexander Barvinok
+ PDF Chat	Computing Mixed Discriminants, Mixed Volumes, and Permanents	1997	Alexander Barvinok
+ PDF Chat	Approximate counting via random optimization	1997	Alexander Barvinok
+	Sparse Interpolation of Symmetric Polynomials	1997	Alexander Barvinok Sergey Fomin
+	A simple polynomial time algorithm to approximate the permanent within a simply exponential factor	1997	Alexander Barvinok
+	Lattice points and lattice polytopes	1997	Alexander Barvinok
+	A Polynomial Time Algorithm for Counting Integral Points in Polyhedra When the Dimension is Fixed	1994	Alexander Barvinok
+	Computation of exponential integrals	1994	Alexander Barvinok
+ PDF Chat	Computing the Ehrhart polynomial of a convex lattice polytope	1994	Alexander Barvinok
+ PDF Chat	Feasibility testing for systems of real quadratic equations	1993	Alexander Barvinok
+ PDF Chat	Computing the volume, counting integral points, and exponential sums	1993	Alexander Barvinok
+	On equivariant generalization of Dehn-Sommerville equations	1992	Alexander Barvinok
+	Computing the volume, counting integral points, and exponential sums	1992	Alexander Barvinok
+	Feasibility testing for systems of real quadratic equations	1992	Alexander Barvinok
+	Exponential sums and integrals over convex polytopes	1992	Alexander Barvinok
+	The Newton sums method in combinatorial optimization	1991	Alexander Barvinok
+	Computational complexity of immanents and representations of the full linear group	1990	Alexander Barvinok
+	Convex hulls of orbits of representations of finite groups and combinatorial optimization	1989	Alexander Barvinok A. M. Vershik
+	Homological type of spaces of configurations of structurally stable type in C2	1986	Alexander Barvinok

Common Coauthors

Coauthor	Papers Together
Alex Samorodnitsky	12
Isabella Novik	10
J. A. Hartigan	8
Pablo Soberón	6
Mark Rudelson	5
Tamon Stephen	4
Seung Jin Lee	4
Alexander Yong	4
Zur Luria	3
Ellen Veomett	2
Seung Jin Lee	2
Volkmar Welker	2
Sándor P. Fekete	2
Arie Tamir	2
Grigoriy Blekherman	2
Russ Woodroofe	2
Bruce Reznick	2
Guus Regts	2
Gerhard J. Woeginger	2
Matthias Beck	2
Christian Haase	2
Kevin Woods	2
David S. Johnson	2
Victor Reiner	1
Sergey Fomin	1
Bernd Sturmfels	1
Nicholas Barvinok	1
Seung Jin Lee	1
Ezra Miller	1
A. M. Vershik	1
Anthony Della Pella	1
James Pommersheim	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	A polynomial-time approximation algorithm for the permanent of a matrix with nonnegative entries	2004	Mark Jerrum Alistair Sinclair Eric Vigoda	29
+	A Deterministic Strongly Polynomial Algorithm for Matrix Scaling and Approximate Permanents	2000	Nathan Linial Alex Samorodnitsky Avi Wigderson	21
+	A Course in Convexity	2002	Alexander Barvinok	20
+ PDF Chat	Asymptotic Estimates for the Number of Contingency Tables, Integer Flows, and Volumes of Transportation Polytopes	2008	Alexander Barvinok	16
+	An Elementary Introduction to Modern Convex Geometry	1997	Keith Ball	16
+	The solution of van der Waerden's problem for permanents	1981	Г. П. Егорычев	15
+	Enumerative Combinatorics	1997	Richard P. Stanley Gian‐Carlo Rota	14
+	Sampling contingency tables	1997	Martin Dyer Ravi Kannan John Mount	13
+	New permanental upper bounds for nonnegative matrices	2003	George W. Soules	13
+	Interior-Point Polynomial Algorithms in Convex Programming	1994	Yurii Nesterov Arkadi Nemirovski	13
+ PDF Chat	Deterministic Polynomial-Time Approximation Algorithms for Partition Functions and Graph Polynomials	2017	Viresh Patel Guus Regts	12
+ PDF Chat	Polynomial Time Algorithms to Approximate Permanents and Mixed Discriminants Within a Simply Exponential Factor	1999	Alexander Barvinok	12
+	Maximum entropy Gaussian approximations for the number of integer points and volumes of polytopes	2010	Alexander Barvinok J. A. Hartigan	11
+	The complexity of computing the permanent	1979	Leslie G. Valiant	11
+ PDF Chat	Asymptotic enumeration of sparse nonnegative integer matrices with specified row and column sums	2008	Catherine Greenhill Brendan D. McKay	11
+	Sequential Monte Carlo Methods for Statistical Analysis of Tables	2005	Yuguo Chen Persi Diaconis Susan Holmes Jun S. Liu	10
+ PDF Chat	The Concentration of Measure Phenomenon	2005	Michel Ledoux	10
+ PDF Chat	Testing for Independence in a Two-Way Table: New Interpretations of the Chi-Square Statistic	1985	Persi Diaconis Bradley Efron	10
+ PDF Chat	Simple deterministic approximation algorithms for counting matchings	2007	Mohsen Bayati David Gamarnik Dimitriy Katz Chandra Nair Prasad Tetali	9
+	Effective lattice point counting in rational convex polytopes	2004	Jesús A. De Loera Raymond Hemmecke Jeremiah Tauzer Ruriko Yoshida	9
+ PDF Chat	Computing Mixed Discriminants, Mixed Volumes, and Permanents	1997	Alexander Barvinok	9
+ PDF Chat	A polynomial-time algorithm to approximately count contingency tables when the number of rows is constant	2002	Mary Cryan Martin Dyer	9
+	The Markov chain Monte Carlo method: an approach to approximate counting and integration	1996	Mark Jerrum Alistair Sinclair	9
+	The asymptotic number of non-negative integer matrices with given row and column sums	1974	Edward A. Bender	9
+	Improved bounds for sampling contingency tables	2002	Ben Morris	9
+ PDF Chat	Computing the Permanent of (Some) Complex Matrices	2015	Alexander Barvinok	9
+ PDF Chat	On the Application of Symmetric Dirichlet Distributions and their Mixtures to Contingency Tables	1976	I. J. Good	9
+ PDF Chat	Approximating the Permanent	1989	Mark Jerrum Alistair Sinclair	8
+ PDF Chat	The Repulsive Lattice Gas, the Independent-Set Polynomial, and the Lov�sz Local Lemma	2005	Alex Scott Alan D. Sokal	8
+ PDF Chat	Estimating L∞ Norms by L2k Norms for Functions on Orbits	2002	Alexander Barvinok	8
+ PDF Chat	Random Matrices, Magic Squares and Matching Polynomials	2004	Persi Diaconis Alex Gamburd	7
+	Convex hulls of generalized moment curves	1985	Zeev Smilansky	7
+	An elementary introduction to modern convex geometry, in flavors of geometry	1997	KM Ball	7
+	The enumeration of arrays and a generalization related to contingency tables	1977	I. J. Good James Flinn Crook	7
+ PDF Chat	Maximum Entropy for Hypothesis Formulation, Especially for Multidimensional Contingency Tables	1963	I. J. Good	7
+	On the number of matrices and a random matrix with prescribed row and column sums and 0–1 entries	2009	Alexander Barvinok	7
+ PDF Chat	None	2015	Alexander Barvinok	7
+	The Van der Waerden conjecture for mixed discriminants	2005	Leonid Gurvits	7
+	A Polynomial Time Algorithm for Counting Integral Points in Polyhedra When the Dimension is Fixed	1994	Alexander Barvinok	7
+ PDF Chat	Computing the Partition Function for Perfect Matchings in a Hypergraph	2011	Alexander Barvinok Alex Samorodnitsky	7
+ PDF Chat	Asymptotic enumeration of sparse 0–1 matrices with irregular row and column sums	2005	Catherine Greenhill Brendan D. McKay Xiaoji Wang	7
+	Nonnegative Matrices and Applications	1997	R.B. Bapat T. E. S. Raghavan	7
+	The Volume of Convex Bodies and Banach Space Geometry	1989	Gilles Pisier	7
+ PDF Chat	A Deterministic Algorithm for Approximating the Mixed Discriminant and Mixed Volume, and a Combinatorial Corollary	2002	Gurvits Samorodnitsky	7
+	Statistical Theory of Equations of State and Phase Transitions. II. Lattice Gas and Ising Model	1952	T. D. Lee Chongming Yang	7
+	The complexity of partition functions	2005	Andreĭ A. Bulatov Martin Grohe	7
+ PDF Chat	Sampling from Log-Concave Distributions	1994	Alan Frieze Ravi Kannan Nick Polson	6
+	The maximum numbers of faces of a convex polytope	1970	Peter McMullen	6
+ PDF Chat	Concentration of measure and isoperimetric inequalities in product spaces	1995	Michel Talagrand	6
+ PDF Chat	Points entiers dans les polyèdres convexes	1988	Michel Brion	6