Quasi-invariance of Gaussian measures for the periodic Benjamin-Ono-BBM equation
Sign Up to like & getrecommendations! Published in 2022 at "Stochastics and Partial Differential Equations: Analysis and Computations"
DOI: 10.1007/s40072-022-00240-2
Abstract: The BBM equation is a Hamiltonian PDE which revealed to be a very interesting test-model to study the transformation property of Gaussian measures along the flow, after Tzvetkov (Sigma 3:e28-35). In this paper we study… read more here.
Keywords: benjamin ono; bbm equation; gaussian measures; quasi invariance ... See more keywords
Integration by parts and quasi-invariance for the horizontal Wiener measure on foliated compact manifolds
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Functional Analysis"
DOI: 10.1016/j.jfa.2019.06.006
Abstract: We prove several versions of Driver's integration by parts formula for the horizontal Wiener measure on a totally geodesic Riemannian foliation and prove that the horizontal Wiener measure has a quasi-invariance property with respect to… read more here.
Keywords: wiener measure; integration parts; quasi invariance; horizontal wiener ... See more keywords