10 citations · 57 across the 30 of their papers we have counts for
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Propagation of chaos for topological interactions by a coupling technique
Pierre Degond, Mario Pulvirenti, Stefano Rossi
We consider a system of particles which interact through a jump process. The jump intensities are functions of the proximity rank of the particles, a type of interaction referred t…
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…