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19962026
most citedThe hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations

1k citations

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Showing 2023 · math.PRShow all

8 papers · 2 filters

math.PR2023★ 1 cited

Non co-adapted couplings of Brownian motions on subRiemannian manifolds

Magalie Bénéfice

In this article we continue the study of couplings of subelliptic Brownian motions on the subRiemannian manifolds SU (2) and SL(2, R). Similar to the case of the Heisenberg group,…

math.PR2023★ 1 cited

Distances and isoperimetric inequalities in random triangulations of high genus

Thomas Budzinski, Guillaume Chapuy, Baptiste Louf

We prove that uniform random triangulations whose genus is proportional to their size have diameter of order with high probability. We also show that in such triangula…

math.PR2023

On Time Uniform Wong-Zakai Approximation Theorems

Pierre Del Moral, Shulan Hu, Ajay Jasra +2

We consider the long time behavior of Wong-Zakai approximations of stochastic differential equations. These piecewise smooth diffusion approximations are of great importance in man…

math.PR2023

On the triviality of the shocked map

Luis Fredes, Avelio Sepúlveda

The (non-spanning) tree-decorated quadrangulation is a random pair formed by a quadrangulation and a subtree chosen uniformly over the set of pairs with prescribed size. In this pa…

math.PR2023

Couplings of Brownian motions on and

Magalie Bénéfice

The Lie groups and can be viewed as model spaces in subRiemannian geometry. Coupling two subelliptic Brownian motions on (resp. $SL(2,\mathbb{R})…

math.PR2023

Exit time and principal eigenvalue of non-reversible elliptic diffusions

Dorian Le Peutrec, Laurent Michel, Boris Nectoux

In this work, we analyse the metastability of non-reversible diffusion processes on a bounded domain when admits the d…