Results 1 to 10 of about 55,281 (143)
Smith Normal Form in Combinatorics [PDF]
, 2015 This paper surveys some combinatorial aspects of Smith normal form, and more generally, diagonal form. The discussion includes general algebraic properties and interpretations of Smith normal form, critical groups of graphs, and Smith normal form of ...
Stanley, Richard P.
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GCM solver (ver. 3.0): a {\it Mathematica} notebook for diagonalization of the Geometric Collective Model (Bohr hamiltonian) with generalized Gneuss-Greiner potential [PDF]
, 2018 The program diagonalizes the Geometric Collective Model (Bohr Hamiltonian) with generalized Gneuss–Greiner potential with terms up to the sixth power in β . In nuclear physics, the Bohr–Mottelson model with later extensions into the
Ferrari-Ruffino, Fabrizio +1 more
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Algebraic Aspects of Conditional Independence and Graphical Models
, 2017 This chapter of the forthcoming Handbook of Graphical Models contains an overview of basic theorems and techniques from algebraic geometry and how they can be applied to the study of conditional independence and graphical models.
Kahle, Thomas +2 more
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Statistics of Stationary Points of Random Finite Polynomial Potentials
, 2015 The stationary points (SPs) of the potential energy landscapes (PELs) of multivariate random potentials (RPs) have found many applications in many areas of Physics, Chemistry and Mathematical Biology.
Mehta, Dhagash +2 more
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Simple parallel and distributed algorithms for spectral graph sparsification
, 2014 We describe a simple algorithm for spectral graph sparsification, based on iterative computations of weighted spanners and uniform sampling. Leveraging the algorithms of Baswana and Sen for computing spanners, we obtain the first distributed spectral ...
Jonathan +4 more
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Transitive factorizations of permutations and geometry [PDF]
, 2014 We give an account of our work on transitive factorizations of permutations. The work has had impact upon other areas of mathematics such as the enumeration of graph embeddings, random matrices, branched covers, and the moduli spaces of curves.
Goulden, I. P., Jackson, D. M.
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Non-homogenous disks in the chain of matrices
, 2011 We investigate the generating functions of multi-colored discrete disks with non-homogenous boundary conditions in the context of the Hermitian multi-matrix model where the matrices are coupled in an open chain.
Alvaro Veliz-Osorio +22 more
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, 2010 The link between a particular class of growth processes and random matrices was established in the now famous 1999 article of Baik, Deift, and Johansson on the length of the longest increasing subsequence of a random permutation.
Ferrari, Patrik L., Spohn, Herbert
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L\'evy Processes on Quantum Permutation Groups
, 2016 We describe basic motivations behind quantum or noncommutative probability, introduce quantum L\'evy processes on compact quantum groups, and discuss several aspects of the study of the latter in the example of quantum permutation groups.
Franz, Uwe, Kula, Anna, Skalski, Adam
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Nonadaptive group testing with random set of defectives
, 2016 In a group testing scheme, a set of tests is designed to identify a small number $t$ of defective items that are present among a large number $N$ of items.
Mazumdar, Arya
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