Hypoelliptic Laplacian and probability

DOI10.2969/jmsj/06741317zbMath1334.35019OpenAlexW2183305668MaRDI QIDQ904194

Jean-Michel Bismut

Publication date: 12 January 2016

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jmsj/1445951153

zbMATH Keywords

geodesic flowheat kernelindex theoryOrnstein-Uhlenbeck operatorhypoelliptic LaplacianSelberg's trace formuladiffusion processes and stochastic analysis on manifoldsgeometric Langevin process

Mathematics Subject Classification ID

Diffusion processes and stochastic analysis on manifolds (58J65) Hypoelliptic equations (35H10) PDEs on manifolds (35R01)

Related Items (8)

Homogenization of dissipative, noisy, Hamiltonian dynamics ⋮ Hypocoercivity of Langevin-type dynamics on abstract smooth manifolds ⋮ Stochastic stability of Pollicott-Ruelle resonances ⋮ Homogenisation for anisotropic kinetic random motions ⋮ Toeplitz operators, analytic torsion, and the hypoelliptic Laplacian ⋮ Phase space homogenization of noisy Hamiltonian systems ⋮ Small mass limit of a Langevin equation on a manifold ⋮ Entropy anomaly in Langevin-Kramers dynamics with a temperature gradient, matrix drag, and magnetic field

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