3 papers
math.OA2026
Periodicity, type factors and free Poisson laws in interacting Fock spaces
Vitonofrio Crismale, Yun Gang Lu, Ãric Ricard
We show that the von Neumann algebra generated by position operators in a 2-periodic interacting Fock space is a type factor. On the probabilistic side, we prove that the sq…
math.OA2026
Non-commutative Law of iterated logarithm
Sourav Panja, Ãric Ricard, Diptesh Saha
We prove optimal non-commutative analogues of the classical Law of Iterated Logarithm (LIL) for both martingales and sequences of independent (non-commutative) random variables. Th…
math.FA2026
Calderón-Zygmund theory with noncommuting kernels via
Antonio Ismael Cano-Mármol, Ãric Ricard
We study an alternative definition of the -space associated to a semicommutative von Neumann algebra , first studied by Me…