APPROXIMATING ORTHOGONAL MATRICES BY PERMUTATION MATRICES Alexander Barvinok October 2005 Abstract. Motivated in part by a problem of combinatorial optimization and in

Source URL: www.math.lsa.umich.edu

• Algebra
• Mathematics
• Linear algebra
• Matrices
• Orthogonal matrix
• Matrix
• Permutation matrix
• Normal distribution
• Permutation
• Positive-definite matrix
• Symmetric matrix
• Central limit theorem

Efficient Sampling Methods for Discrete Distributions Karl Bringmann and Konstantinos Panagiotou Max Planck Institute for Informatics Campus E1.4, 66123 Saarbr¨ ucken, Germany

Source URL: people.mpi-inf.mpg.de

• Chernoff bound
• Primality tests
• Central limit theorem
• Exponential mechanism

Appendix F: Examples of existing semantic representations of mathematics 1. The central limit theorem as represented in Isabelle [12]: 2. The definition of a Möbius transformation in Coq [28]:

Source URL: www.wolframfoundation.org

• General topology
• Mathematics
• ACL2
• Lisp
• Compact space
• Automated theorem proving
• Software
• Mathematical logic
• Model theory

CENTRAL LIMIT THEOREM FOR THE SELF-REPELLING RANDOM WALK WITH DIRECTED EDGES arXiv:1403.2789v2 [math.PR] 28 SepT. MOUNTFORD, G. VALLE, L. P. R. PIMENTEL

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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

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• Mathematics
• Algebra
• Mathematical analysis
• Matrix theory
• Linear algebra
• Normal distribution
• Determinant
• Matrix
• Central limit theorem
• Random permutation statistics
• Matrix exponential

A few conceptual questions (and definitions): • What is the Central Limit theorem?

Source URL: www-stat.wharton.upenn.edu

THE NUMBER OF GRAPHS AND A RANDOM GRAPH WITH A GIVEN DEGREE SEQUENCE Alexander Barvinok and J.A. Hartigan November 2011 Abstract. We consider the set of all graphs on n labeled vertices with prescribed

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• Mathematics
• Mathematical analysis
• Central limit theorem
• Regular graph
• Matrix
• Entropy
• Number theory
• Graph coloring
• Discriminant of an algebraic number field
• Differential forms on a Riemann surface

Extreme Negative Dependence and Risk Aggregation Bin Wang∗ and Ruodu Wang† January 22, 2015 Abstract We introduce the concept of an extremely negatively dependent (END) sequence of random variables with a given commo

Source URL: sas.uwaterloo.ca

• Statistics
• Mathematical analysis
• Probability
• Probability distributions
• Algebra of random variables
• Probability theory
• Central limit theorem
• Variance
• Normal distribution
• Multivariate random variable
• Expected value
• Relationships among probability distributions

MATHEMATISCHES FORSCHUNGSINSTITUT OBERWOLFACH T a g u n g s b e r i c h t

Source URL: www.fam.tuwien.ac.at

• Mathematical analysis
• Statistics
• Mathematics
• Summary statistics
• Probability distributions
• Random walk
• Central limit theorem
• Law of large numbers
• Large deviations theory
• Ising model
• Mode
• Heat transfer physics

Sum of Arbitrarily Dependent Random Variables Ruodu Wang∗ September 15, 2014 Abstract In many classic problems of asymptotic analysis, it appears that the scaled average of a

Source URL: sas.uwaterloo.ca

• Probability distributions
• Central limit theorem
• Stable distribution
• Normal distribution
• Asymptotic distribution
• Expected value
• Relationships among probability distributions
• Cumulative distribution function