Zobrazeno 1 - 10
of 51
pro vyhledávání: '"Köstler, Claus"'
Autor:
Köstler, Claus, Krishnan, Arundhathi
Publikováno v:
SIGMA 18 (2022), 083, 27 pages
We show that representations of the Thompson group $F$ in the automorphisms of a noncommutative probability space yield a large class of bilateral stationary noncommutative Markov processes. As a partial converse, bilateral stationary Markov processe
Externí odkaz:
http://arxiv.org/abs/2204.03595
Publikováno v:
International Journal of Mathematics Volume 33, Issue 09 (2022), paper no. 2250065
We prove a limit theorem concerning the sequence of star-generators of $S_{\infty}$, where the expectation functional is provided by a character of $S_{\infty}$ with weights $(w_1, \ldots , w_d, 0,0, \ldots )$ in the Thoma classification. The limit l
Externí odkaz:
http://arxiv.org/abs/2203.01763
We introduce a new distributional invariance principle, called `partial spreadability', which emerges from the representation theory of the Thompson monoid $F^+$ in noncommutative probability spaces. We show that a partially spreadable sequence of no
Externí odkaz:
http://arxiv.org/abs/2009.14811
Autor:
Köstler, Claus
From K\"ummerer's investigations on stationary Markov processes has emerged an operator algebraic definition of white noises which captures many examples from classical as well as from non-commutative probability. Within non-commutative $L^p$-spaces
Externí odkaz:
http://arxiv.org/abs/2005.13998
Publikováno v:
In Journal of Functional Analysis 15 March 2023 284(6)
Autor:
Koestler, Claus, Nica, Alexandru
Publikováno v:
Journal of Theoretical Probability 34 (2021), 1248-1278
It is well-known that, on a purely algebraic level, a simplified algebraic version of the Central Limit Theorem (CLT) can be proved in the framework of a noncommutative probability space, under the hypotheses that the sequence of non-commutative rand
Externí odkaz:
http://arxiv.org/abs/1807.05633
To a semi-cosimplicial object (SCO) in a category we associate a system of partial shifts on the inductive limit. We show how to produce an SCO from an action of the infinite braid monoid $\mathbb{B}^+_\infty$ and provide examples. In categories of (
Externí odkaz:
http://arxiv.org/abs/1508.03168
We introduce symmetric states and quantum symmetric states on universal unital free product C*-algebras an arbitrary unital C*-algebra A with itself infinitely many times, as a generalization of the notions of exchangeable and quantum exchangeable ra
Externí odkaz:
http://arxiv.org/abs/1305.7293
Autor:
Dykema, Kenneth J., Köstler, Claus
We show that any countably generated von Neumann algebra with specified normal faithful state can arise as the tail algebra of a quantum exchangeable sequence of noncommutative random variables. We also characterize the cases when the state correspon
Externí odkaz:
http://arxiv.org/abs/1202.4749
Autor:
Gohm, Rolf, Köstler, Claus
This is an introductory paper about our recent merge of a noncommutative de Finetti type result with representations of the infinite braid and symmetric group which allows to derive factorization properties from symmetries. We explain some of the mai
Externí odkaz:
http://arxiv.org/abs/1102.0813