Tail algebras for monotone and q-deformed exchangeable stochastic processes
V Crismale, S Rossi - Annali di Matematica Pura ed Applicata (1923-), 2023 - Springer
We compute the tail algebras of exchangeable monotone stochastic processes. This allows
us to prove the analogue of de Finetti's theorem for this type of processes. In addition, since …
us to prove the analogue of de Finetti's theorem for this type of processes. In addition, since …
On distributional symmetries on the CAR algebra
V Crismale, S Del Vecchio, S Rossi - arXiv preprint arXiv:2209.05431, 2022 - arxiv.org
arXiv:2209.05431v2 [math.OA] 15 Jun 2023 Page 1 arXiv:2209.05431v2 [math.OA] 15 Jun 2023
ON DISTRIBUTIONAL SYMMETRIES ON THE CAR ALGEBRA VITONOFRIO CRISMALE …
ON DISTRIBUTIONAL SYMMETRIES ON THE CAR ALGEBRA VITONOFRIO CRISMALE …
On truncated t-free Fock spaces: Spectrum of position operators and shift-invariant states
V Crismale, S Del Vecchio, S Rossi - Journal of Mathematical Analysis and …, 2023 - Elsevier
The ergodic properties of the shift on the C⁎-algebras generated by creators and
annihilators on both the full and m-truncated t-free Fock spaces are analyzed. In particular …
annihilators on both the full and m-truncated t-free Fock spaces are analyzed. In particular …
Commuting Toeplitz operators and moment maps on Cartan domains of type III
D Cuevas-Estrada, R Quiroga-Barranco - International Workshop on …, 2022 - Springer
Let D n III and S n be the Cartan domains of type III that consist of the symmetric n× n
complex matrices Z that satisfy ZZ¯< I n and Im (Z)> 0, respectively. For these domains, we …
complex matrices Z that satisfy ZZ¯< I n and Im (Z)> 0, respectively. For these domains, we …
On non-commutative spreadability
ME Griseta - International Workshop on Operator Theory and its …, 2022 - Springer
We review some results on spreadable quantum stochastic processes and present the
structure of some monoids acting on the index-set of all integers ℤ. These semigroups are …
structure of some monoids acting on the index-set of all integers ℤ. These semigroups are …