L\'evy processes on smooth manifolds with a connection

Autor: Mijatović, Aleksandar, Mramor, Veno

We define a L\'evy process on a smooth manifold $M$ with a connection as a projection of a solution of a Marcus stochastic differential equation on a holonomy bundle of $M$, driven by a holonomy-invariant L\'evy process on a Euclidean space. On a Rie

Externí odkaz: http://arxiv.org/abs/2012.11633

A hierarchical mean field model of interacting spins

Autor: Pra, Paolo Dai, Formentin, Marco, Pelino, Guglielmo

We consider a system of hierarchical interacting spins under dynamics of spin-flip type with a ferromagnetic mean field interaction, scaling with the hierarchical distance, coupled with a system of linearly interacting hierarchical diffusions of Orns

Externí odkaz: http://arxiv.org/abs/1910.13469

When do skew-products exist?

Autor: Evans, Steven N., Hening, Alexandru, Wayman, Eric S.

Publikováno v: Electronic Communications in Probability, 20, no. 54, 1-14, 2015

The classical skew-product decomposition of planar Brownian motion represents the process in polar coordinates as an autonomously Markovian radial part and an angular part that is an independent Brownian motion on the unit circle time-changed accordi

Externí odkaz: http://arxiv.org/abs/1408.6507

Higher order Cheeger inequalities for Steklov eigenvalues

Autor: Laurent Miclo, Asma Hassannezhad

Publikováno v: Hassannezhad, A & Miclo, L 2020, ' Higher order Cheeger inequalities for Steklov eigenvalues ', Annales Scientifiques de l'École Normale Supérieure, vol. 53, no. 1, pp. 43-88 . https://doi.org/10.24033/asens.2417
Annales Scientifiques de l'École Normale Supérieure
Annales Scientifiques de l'École Normale Supérieure, 2019
Annales Scientifiques de l'Ecole Normale Superieure
Annales Scientifiques de l'École Normale Supérieure, Société mathématique de France, 2019

We prove a lower bound for the $k$-th Steklov eigenvalues in terms of an isoperimetric constant called the $k$-th Cheeger-Steklov constant in three different situations: finite spaces, measurable spaces, and Riemannian manifolds. These lower bounds c

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::91e7c3b4d872db8268767afb9cc1cbd5
https://research-information.bris.ac.uk/en/publications/3eee6396-94a1-4dd4-8f51-9c5b70e775a8

L��vy processes on smooth manifolds with a connection

Autor: Mijatovi��, Aleksandar, Mramor, Veno

We define a L��vy process on a smooth manifold $M$ with a connection as a projection of a solution of a Marcus stochastic differential equation on a holonomy bundle of $M$, driven by a holonomy-invariant L��vy process on a Euclidean space. On

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::702a55d04976b0b16db9e4fa24b1f911