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math.OA2026
A Dynamical Approach to Non-Commutative de Finetti Theory
Simone Del Vecchio, Stefano Rossi
We develop a dynamical framework for non-commutative de Finetti theory. We first establish the non-commutative Hewitt-Savage 0-1 law for quantum stochastic processes. We identify t…
math.OA2026
On the Ryll-Nardzewski Theorem for Quantum Stochastic Processes
Valeriano Aiello, Simone Del Vecchio, Stefano Rossi
We prove a Ryll-Nardzewski Theorem for quantum stochastic processes, that shows that under natural assumptions which generalize the classical probability setting, the distributiona…
math.OA2025
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 ca…