6 citations · 11 across the 6 of their papers we have counts for
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Survey on a quantum stochastic extension of Stone's Theorem
Claus Köstler
From Kümmerer's investigations on stationary Markov processes has emerged an operator algebraic definition of white noises which captures many examples from classical as well as fr…
Noncommutative Independence in the Infinite Braid and Symmetric Group
Rolf Gohm, Claus Köstler
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 deriv…
On Lehner's `free' noncommutative analogue of De Finetti's theorem
Claus Köstler
Inspired by Lehner's results on exchangeability systems we define `weak conditional freeness' and `conditional freeness' for stationary processes in an operator algebraic framework…
A noncommutative extended de Finetti theorem
Claus Köstler
The extended de Finetti theorem characterizes exchangeable infinite random sequences as conditionally i.i.d. and shows that the apparently weaker distributional symmetry of spreada…
Noncommutative continuous Bernoulli shifts
Jürgen Hellmich, Claus Köstler, Burkhard Kümmerer
We introduce a non-commutative extension of Tsirelson-Vershik's noises, called (non-commutative) continuous Bernoulli shifts. These shifts encode stochastic independence in terms o…
On the structure of non-commutative white noises
Claus Köstler, Roland Speicher
We consider the concepts of continuous Bernoulli systems and non-commutative white noises. We address the question of isomorphism of continuous Bernoulli systems and show that for…