Results 1 to 10 of about 2,812 (30)

Optimal strategies for a game on amenable semigroups [PDF]

open access: yes, 1998
The semigroup game is a two-person zero-sum game defined on a semigroup S as follows: Players 1 and 2 choose elements x and y in S, respectively, and player 1 receives a payoff f(xy) defined by a function f from S to [-1,1].
A. M. Dean   +10 more
core   +6 more sources

Algebraically recurrent random walks on groups [PDF]

open access: yes, 2012
Initial steps are presented towards understanding which finitely generated groups are almost surely generated as semigroups by the path of a random walk on the group.Comment: 9 ...
Benjamini, Itai   +2 more
core   +3 more sources

Invariant means on Boolean inverse monoids [PDF]

open access: yes, 2015
The classical theory of invariant means, which plays an important role in the theory of paradoxical decompositions, is based upon what are usually termed `pseudogroups'. Such pseudogroups are in fact concrete examples of the Boolean inverse monoids which
Kudryavtseva, Ganna   +3 more
core   +2 more sources

Phi-entropy inequalities and Fokker-Planck equations [PDF]

open access: yes, 2010
We present new $\Phi$-entropy inequalities for diffusion semigroups under the curvature-dimension criterion. They include the isoperimetric function of the Gaussian measure.
Bolley, François, Gentil, Ivan
core   +3 more sources

Spreading maps (polymorphisms), symmetries of Poisson processes and matching summation [PDF]

open access: yes, 2001
The matrix of a permutation is a partial case of Markov transition matrices. In the same way, a measure preserving bijection of a space A with finite measure is a partial case of Markov transition operators.
Neretin, Yurii A.
core   +4 more sources

Convolution semigroups on locally compact quantum groups and noncommutative Dirichlet forms

open access: yes, 2018
The subject of this paper is the study of convolution semigroups of states on a locally compact quantum group, generalising classical families of distributions of a L\'{e}vy process on a locally compact group.
Skalski, Adam, Viselter, Ami
core   +1 more source

Discovering the manifold facets of a square integrable representation: from coherent states to open systems

open access: yes, 2018
Group representations play a central role in theoretical physics. In particular, in quantum mechanics unitary --- or, in general, projective unitary --- representations implement the action of an abstract symmetry group on physical states and observables.
Aniello, Paolo
core   +1 more source

Amenability, extreme amenability, model-theoretic stability, and dependence property in integral logic

open access: yes, 2016
This paper has three parts. First, we study and characterize amenable and extremely amenable topological semigroups in terms of invariant measures using integral logic.
Khanaki, Karim
core   +1 more source

Hypergroup Deformations of Semigroups

open access: yes, 2018
We view the well-known example of the dual of a countable compact hypergroup, motivated by the orbit space of p-adic integers by Dunkl and Ramirez (1975), as hypergroup deformation of the max semigroup structure on the linearly ordered set $\mathbb{Z}_+$
Kumar, Vishvesh   +2 more
core   +3 more sources

The periodic decomposition problem

open access: yes, 2013
If a function $f:\mathbb{R}\to\mathbb{R}$ can be represented as the sum of $n$ periodic functions as $f=f_1+\dots+f_n$ with $f(x+\alpha_j)=f(x)$ ($j=1,\dots,n$), then it also satisfies a corresponding $n$-order difference equation $\Delta_{\alpha_1}\dots\
Farkas, Bálint, Révész, Szilárd
core   +1 more source

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