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Aspects géométriques et intégrables des modèles de matrices aléatoires [PDF]
This thesis deals with the geometric and integrable aspects associated with random matrix models. Its purpose is to provide various applications of random matrix theory, from algebraic geometry to partial differential equations of integrable systems. The
Marchal, Olivier
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Evolutionary dynamics on a regular networked structured and unstructured multi‐population
Abstract In this paper, we study collective decision‐making in a multi‐population framework, where groups of individuals represent whole populations that interact by means of a regular network. Each group consists of a number of players and every player can choose between two options.
Wouter Baar +2 more
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On tau functions for orthogonal polynomials and matrix models. [PDF]
Let v be a real polynomial of even degree, and let \rho be the equilibrium probability measure for v with support S; to that v(x) greeater than or equal to \int 2log |x-y| \rho (dy) +C for some constant C with equality on S.
Gordon Blower, Blower, Gordon
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Free probability and random matrices
This volume opens the world of free probability to a wide variety of readers. From its roots in the theory of operator algebras, free probability has intertwined with non-crossing partitions, random matrices, applications in wireless communications ...
Speicher, Roland +3 more
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For many networks in nature, science and technology, it is possible to order the nodes so that most links are short-range, connecting near-neighbours, and relatively few long-range links, or shortcuts, are present.
Calvo, M.C. +62 more
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Vanishing Results for Hall-Littlewood Polynomials [PDF]
It is well-known that if one integrates a Schur function indexed by a partition λ over the symplectic (resp. orthogonal) group, the integral vanishes unless all parts of λ have even multiplicity (resp. all parts of λ are even).
Venkateswaran, Vidya
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Algebraic Aspects of Hidden Variable Models
Hidden variables are random variables that we cannot observe in reality but they are important for understanding the phenomenon of our interest because they affect the observable variables.
Ardiyansyah, Muhammad
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Some combinatorial identities related to commuting varieties and Hilbert schemes [PDF]
In this article we explore some of the combinatorial consequences of recent results relating the isospectral commuting variety and the Hilbert scheme of points in the ...
Ginzburg, V. +3 more
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Displacement convexity for the generalized orthogonal ensemble. [PDF]
The paper considers the generalized ensemble of n by n real symmetric matrices that is invariant under the natural action of the real orthogonal group and that is given by a real potential function.
Blower, Gordon
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