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math.PR2026
Factorization of Time-Ordered Exponentials for Wiener Space Transformations
Jirô Akahori, Takafumi Amaba, Tasuku Kubo
We develop an operator-algebraic framework for change-of-variables formulas on Wiener space, interpreting them as arising from hidden symmetries acting on observables. We show that…
math.PR2025
Regularization Effects of Time Integration on Gaussian Process Functionals
Takafumi Amaba, Marie Kratz
In this paper, we investigate the regularization effects, in the sense of Malliavin calculus, on functionals of Gaussian processes induced by time integration, focusing on their co…