Results 11 to 20 of about 456 (198)
, 2005 Free probability theory is a line of research which parallels aspects of classical probability, in a non-commutative context where tensor products are replaced by free products, and independent random variables are replaced by free random variables.
core +2 more sources
Rota-Baxter operators on the polynomial algebras, integration and averaging operators [PDF]
, 2014 The concept of a Rota–Baxter operator is an algebraic abstraction of integration. Following this classical connection, we study the relationship between Rota–Baxter operators and integrals in the case of the polynomial algebra k[x] k[x] .
Guo, Li +5 more
core +1 more source
Duality for optimal couplings in free probability [PDF]
, 2022 We study the free probabilistic analog of optimal couplings for the quadratic cost, where classical probability spaces are replaced by tracial von Neumann algebras, and probability measures on $\mathbb{R}^m$ are replaced by non-commutative laws of $m ...
Shlyakhtenko, Dimitri +3 more
core +1 more source
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
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
core +2 more sources
Results on R-Diagonal Operators in Bi-Free Probability Theory and Applications of Set Theory to Operator Algebras [PDF]
, 2023 The contents of this dissertation lie in the branch of pure mathematics known as functional analysis and are focused on the theory of bi-free probability and on the interplay between set theory and the field of operator algebras.
Katsimpas, Georgios
core
An ant colony genetic fusion routing algorithm based on soft define network
IET Networks, EarlyView., 2022 Abstract Aiming at the problem that there are many paths in data forwarding in soft define network (SDN) network, and the optimal path is difficult to find, combined with the advantages of ant colony algorithm and Genetic algorithm (GA), a routing control strategy based on the ant colony genetic fusion algorithm is proposed.
Kaixin Zhao, Yong Wei, Yang Zhang
wiley +1 more source
Approximations in Operator Theory and Free Probability [PDF]
, 2014 We will investigate several related problems in Operator Theory and Free Probability. The notion of an exact C*-algebra is modified to reduced free products where it is shown, by examining another exact sequence of Toeplitz-Pimsner Algebras, that every ...
Skoufranis, Paul Daniel
core +1 more source
An operadic approach to operator-valued free cumulants [PDF]
, 2018 summary:An operadic framework is developed to explain the inversion formula relating moments and cumulants in operator-valued free probability ...
Drummond-Cole, Gabriel C.
core +1 more source
The probability operator in quantum theory and quantization of a system of free fields
, 2020 A theoretical framework for quantization, defined by the normalized positive-definite probability operator establishing dynamical correspondence between classical and quantum Poisson brackets, is presented.
Kuryshkin V.V., Basu S.
core +2 more sources