22 citations · 52 across the 8 of their papers we have counts for
3 papers · 1 filter
Transport noise restores uniqueness and prevents blow-up in geometric transport equations
Aythami Bethencourt-de-León, So Takao
In this work, we demonstrate well-posedness and regularisation by noise results for a class of geometric transport equations that contains, among others, the linear transport and c…
A Unifying and Canonical Description of Measure-Preserving Diffusions
Alessandro Barp, So Takao, Michael Betancourt +2
A complete recipe of measure-preserving diffusions in Euclidean space was recently derived unifying several MCMC algorithms into a single framework. In this paper, we develop a geo…
Implications of Kunita-Itô-Wentzell formula for -forms in stochastic fluid dynamics
Aythami Bethencourt de Léon, Darryl Holm, Erwin Luesink +1
We extend the Itô-Wentzell formula for the evolution of a time-dependent stochastic field along a semimartingale to -form-valued stochastic processes. The result is the Kunita-I…