Small Time Asymptotics for an Example of Strictly Hypoelliptic Heat Kernel

DOI10.1007/978-3-319-11970-0_4zbMath1390.60288arXiv1209.1946OpenAlexW2137630438MaRDI QIDQ4568483

Jacques Franchi

Publication date: 21 June 2018

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.1946

Mathematics Subject Classification ID

Diffusion processes (60J60) Diffusion processes and stochastic analysis on manifolds (58J65) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (5)

Small-time expansion for the density of a planar (quadratic) Langevin diffusion ⋮ Small-time asymptotics for subelliptic Hermite functions on \(SU(2)\) and the CR sphere ⋮ From Riemannian to Relativistic Diffusions ⋮ Small time equivalents for the density of a planar quadratic Langevin diffusion ⋮ Density estimates and short-time asymptotics for a hypoelliptic diffusion process

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Curvature diffusions in general relativity
• Nonexplosion criteria for relativistic diffusions
• Small time asymptotics of diffusion processes
• Density estimates for a random noise propagating through a chain of differential equations
• Balls and metrics defined by vector fields. I: Basic properties
• Intégration dans la fibre associée a une diffusion dégénérée. (Integration in a fiber associated to a degenerated diffusion)
• Asymptotic expansion of the hypoelliptic heat kernel on the diagonal
• On polymer conformations in elongational flows
• Asymptotic expansion of stochastic flows
• A Poincaré cone condition in the Poincaré group
• Lorentz-invariant Markov processes in relativistic phase space
• Probability laws related to the Jacobi theta and Riemann zeta functions, and Brownian excursions
• Relativistic diffusions and Schwarzschild geometry
• Développement asymptotique du noyau de la chaleur hypoelliptique hors du cut-locus
• Diffusion processes in a small time interval

This page was built for publication: Small Time Asymptotics for an Example of Strictly Hypoelliptic Heat Kernel