6 citations · 11 across the 4 of their papers we have counts for
4 papers
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…