Results 1 to 10 of about 1,883 (63)

Invariant means on Boolean inverse monoids [PDF]

, 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, Lawson, Mark V., Lenz, Daniel H., Resende, Pedro   +3 more
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Non-Commutative Resistance Networks [PDF]

, 2014
In the setting of finite-dimensional $C^*$-algebras ${\mathcal A}$ we define what we call a Riemannian metric for ${\mathcal A}$, which when ${\mathcal A}$ is commutative is very closely related to a finite resistance network. We explore the relationship
Rieffel, Marc A.
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Foundations for Relativistic Quantum Theory I: Feynman's Operator Calculus and the Dyson Conjectures [PDF]

, 2002
In this paper, we provide a representation theory for the Feynman operator calculus. This allows us to solve the general initial-value problem and construct the Dyson series.
Araki H., Dahmen H. D., Doob J. L., Feynman R. P., Gill T. L., Gill T. L., Heisenberg W., Heisenberg W., Hurst C. A., Johnson G. W., Johnson G. W., Kurzweil J., Lowenstein J., Mills R. L., Miranker W. L., Oppenheimer J. R., Ornstein L. S., Petermann A., Segal I. E., Sokal A. D., Tang T., Thirring W., Tomonaga S., von Neumann J., Ward J., Wightman A. S., Wightman A. S.   +26 more
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Minsky machines and algorithmic problems

, 2015
This is a survey of using Minsky machines to study algorithmic problems in semigroups, groups and other algebraic systems.Comment: 19 ...
A Karrass, A Slobodskoi, AI Malcev, AI Malcev, E Zel’manov, E Zel’manov, ES Lyapin, JuSh Gurevich, K Bou-Rabee, M Davis, M Jackson, M Sapir, M Sapir, M Sapir, M Sapir, ML Minsky, MR Bridson, O Kharlampovich, O Kharlampovich, RC Lyndon, RJ Lipton, S Kublanovsky, SM Gersten, T Evans, TE Hall, TE Hall   +25 more
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Convolution semigroups on locally compact quantum groups and noncommutative Dirichlet forms

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

, 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.
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Hypercontractivity of heat semigroups on free quantum groups

, 2016
In this paper we study two semigroups of completely positive unital self-adjoint maps on the von Neumann algebras of the free orthogonal quantum group $O_N^+$ and the free permutation quantum group $S_N^+$.
Franz, Uwe, Hong, Guixiang, Lemeux, François, Ulrich, Michaël, Zhang, Haonan   +4 more
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Free evolution on algebras with two states II

, 2014
Denote by $J$ the operator of coefficient stripping. We show that for any free convolution semigroup of measures $\nu_t$ with finite variance, applying a single stripping produces semicircular evolution with non-zero initial condition, $J[\nu_t] = \rho ...
Anshelevich, Bercovici, Michael Anshelevich, Młotkowski, Voiculescu   +4 more
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Ergodic property of Markovian semigroups on standard forms of von Neumann algebras

, 2005
We give sufficient conditions for ergodicity of the Markovian semigroups associated to Dirichlet forms on standard forms of von Neumann algebras constructed by the method proposed in Refs. [Par1,Par2].
Cipriani F., Davies E. B., Majewski A. W., Reed M., Yong Moon Park, Zegarlinski B.   +5 more
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Hypergroups and Hypergroup Algebras [PDF]

, 2011
The survey contains a brief description of the ideas, constructions, results, and prospects of the theory of hypergroups and generalized translation operators.
Litvinov, Grigory L.
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