44 citations · 148 across the 39 of their papers we have counts for
8 papers · 1 filter
A general compactness theorem in
Antonin Chambolle, Vito Crismale
We give a new, simpler proof of a compactness result in , , by the same authors, which is also valid in (the case ), and shows that bounded sequences conver…
Failure of the Ryll-Nardzewski theorem on the CAR algebra
Vitonofrio Crismale, Stefano Rossi
Spreadability of a sequence of random variables is a distributional symmetry that is implemented by suitable actions of , the unital semigroup of strictly in…
On distributional symmetries on the CAR algebra
Vitonofrio Crismale, Simone Del Vecchio, Stefano Rossi
Spreadable, exchangeable, and rotatable states on the CAR algebra are shown to be the same.
On truncated -free Fock spaces: spectrum of position operators and shift-invariant states
Vitonofrio Crismale, Simone Del Vecchio, Stefano Rossi
The ergodic properties of the shift on both full and -truncated -free -algebras are analyzed. In particular, the shift is shown to be uniquely ergodic with respect to th…
Tail algebras for monotone and -deformed exchangeable stochastic processes
Vitonofrio Crismale, Stefano Rossi
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, si…
On the monotone -algebra
Vitonofrio Crismale, Simone Del Vecchio, Stefano Rossi
The concrete monotone -algebra, that is the (unital) -algebra generated by monotone independent algebraic random variables of Bernoulli type, is characterized abstractly…
Singular limits of a coupled elasto-plastic damage system as viscosity and hardening vanish
Vito Crismale, Giuliano Lazzaroni, Riccarda Rossi
The paper studies the asymptotic analysis of a model coupling elastoplasticity and damage depending on three parameters -- governing viscosity, plastic hardening, and convergence r…
de Finetti-type theorems on quasi-local algebras and infinite Fermi tensor products
Vitonofrio Crismale, Stefano Rossi, Paola Zurlo
Local actions of , the group of finite permutations on , on quasi-local algebras are defined and proved to be -abelian. It…