Results 11 to 20 of about 6,261,355 (138)
Transportation of measure, Young diagrams and random matrices. [PDF]
, 2004 The theory of transportation of mesure for general cost functions is used to obtain a novel logarithmic Sobolev inequality for measures on phase spaces of high dimension and hence a concentration of measure inequality.
Blower, Gordon
core +4 more sources
Skew-orthogonal Laguerre polynomials for chiral real asymmetric random matrices [PDF]
, 2010 We apply the method of skew-orthogonal polynomials (SOP) in the complex plane to asymmetric random matrices with real elements, belonging to two different classes. Explicit integral representations valid for arbitrary weight functions are derived for the
Akemann, G +10 more
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Evolutionary dynamics on a regular networked structured and unstructured multi‐population
International Journal of Robust and Nonlinear Control, EarlyView., 2023 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
wiley +1 more source
Displacement convexity for the generalized orthogonal ensemble. [PDF]
, 2004 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
core +4 more sources
Pick matrix conditions for sign-definite solutions of the algebraic Riccati equation [PDF]
, 2001 We study the existence of positive and negative semidefinite solutions of algebraic Riccati equations (ARE) corresponding to linear quadratic problems with an indefinite cost functional.
Rapisarda, P. +7 more
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Free probability and random matrices
, 2017 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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, 2019 Large complex systems tend to develop universal patterns that often represent their essential characteristics. For example, the cumulative effects of independent or weakly dependent random variables often yield the Gaussian universality class via the ...
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An Introduction to Predictive Processing Models of Perception and Decision‐Making
Topics in Cognitive Science, EarlyView., 2023 Abstract The predictive processing framework includes a broad set of ideas, which might be articulated and developed in a variety of ways, concerning how the brain may leverage predictive models when implementing perception, cognition, decision‐making, and motor control.
Mark Sprevak, Ryan Smith
wiley +1 more source
THE SPECTRUM OF RANDOM INNER-PRODUCT KERNEL MATRICES
, 2013 We consider nxn matrices whose (i, j)th entry is f(X-i(T) X-j), where X-1,..., X-n are i.i.d. standard Gaussian in R-p, and f is a real-valued function. The weak limit of the eigenvalue distribution of these random matrices is studied at the limit when p,
Cheng, Xiuyuan, Singer, Amit
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Universality for random band matrices
, 2020 Random band matrices (RBM) are natural intermediate models to study eigenvalue statistics and quantum propagation in disordered systems, since they interpolate between mean-field type Wigner matrices and random Schrodinger operators. In particular, RBM
Shcherbyna, Tatyana
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