3 citations · 4 across the 13 of their papers we have counts for
5 papers · 1 filter
De Finetti Theorem on the infinite non-commutative torus
Vitonofrio Crismale, Simone Del Vecchio, Maria Elena Griseta +1
The set of spreadabl estates on an infinite non-commutive torus \mathbb{A}_{\mathbb{Z}_α} is determined for all values of the deformation parameter α. If α is irrational, the canon…
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…
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…
-fermi systems and detailed balance
Vitonofrio Crismale, Rocco Duvenhage, Francesco Fidaleo
A systematic theory of product and diagonal states is developed for tensor products of -graded -algebras, as well as -graded -algebras. As a preli…
Vacuum distribution, norm and spectral properties for sums of monotone position operators
Vitonofrio Crismale, Yun Gang Lu
We investigate the spectrum for partial sums of m position (or gaussian) operators on monotone Fock space based on . In the basic case of the first consecutive…