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math.PR2021★ 1 cited
The Boué--Dupuis formula and the exponential hypercontractivity in the Gaussian space
Yuu Hariya, Sou Watanabe
This paper concerns a variational representation formula for Wiener functionals. Let be a standard -dimensional Brownian motion. Boué and Dupuis (1998)…
math.PR2021
Extensions of Bougerol's identity in law and the associated anticipative path transformations
Yuu Hariya
Let be a one-dimensional standard Brownian motion and denote by , the quadratic variation of the geometric Brownian motion $e^{B_{t}},\,t\g…