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 the vacuum state on the q-deformed C∗-algebra is the only exchangeable state when q < 1 , we draw our attention to its tail algebra, which turns out to obey a zero-one law.
Tail algebras for monotone and q-deformed exchangeable stochastic processes
Vitonofrio Crismale;Stefano Rossi
2023-01-01
Abstract
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 the vacuum state on the q-deformed C∗-algebra is the only exchangeable state when q < 1 , we draw our attention to its tail algebra, which turns out to obey a zero-one law.File in questo prodotto:
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