4 citations · 4 across the 1 of their papers we have counts for
6 papers
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…
Modelling the climate and weather of a 2D Lagrangian-averaged Euler-Boussinesq equation with transport noise
Diego Alonso-Oran, Aythami Bethencourt de Leon, Darryl Holm +1
The prediction of climate change and its impact on extreme weather events is one of the great societal and intellectual challenges of our time. The first part of the problem is to…
Irreversible Langevin MCMC on Lie Groups
Alexis Arnaudon, Alessandro Barp, So Takao
It is well-known that irreversible MCMC algorithms converge faster to their stationary distributions than reversible ones. Using the special geometric structure of Lie groups $\mat…
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…
Networks of Coadjoint Orbits: from Geometric to Statistical Mechanics
Alexis Arnaudon, So Takao
A class of network models with symmetry group that evolve as a Lie-Poisson system is derived from the framework of geometric mechanics, which generalises the classical Heisenbe…