A Poincaré cone condition in the Poincaré group

DOI10.1007/s11118-012-9304-yzbMath1280.58026arXiv1201.4575OpenAlexW1968586833MaRDI QIDQ1949219

Camille Tardif

Publication date: 6 May 2013

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.4575

zbMATH Keywords

Green functionWiener testrelativistic diffusionhypoelliptic operatorPoincaré cone condition

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Diffusion processes (60J60) Probabilistic potential theory (60J45) Diffusion processes and stochastic analysis on manifolds (58J65) Hypoelliptic equations (35H10)

Related Items

Small Time Asymptotics for an Example of Strictly Hypoelliptic Heat Kernel

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Explicit parametrix and local limit theorems for some degenerate diffusion processes
• Parametrix techniques and martingale problems for some degenerate Kolmogorov equations
• Density estimates for a random noise propagating through a chain of differential equations
• Balls and metrics defined by vector fields. I: Basic properties
• Fundamental solutions and geometry of the sum of squares of vector fields
• Wiener criterion for a class of degenerate elliptic operators
• Asymptotic expansion of the hypoelliptic heat kernel on the diagonal
• A probabilistic proof and applications of Wiener's test for the heat operator
• Green function, capacity and sample path properties for a class of hypoelliptic diffusion processes
• Asymptotic expansion of stochastic flows
• Wiener's criterion for the heat equation
• A stochastic approach to relativistic diffusions
• Poisson boundary of a relativistic diffusion
• Lorentz-invariant Markov processes in relativistic phase space
• Principe du maximum, inégalité de Harnack et unicité du problème de Cauchy pour les opérateurs elliptiques dégénérées
• Wiener's test and Markov chains
• Where does randomness lead in spacetime?
• Relativistic diffusions and Schwarzschild geometry
• Wiener's Criterion for Parabolic Equations with Variable Coefficients and Its Consequences
• Level Sets of the Fundamental Solution and Harnack Inequality for Degenerate Equations of Kolmogorov Type
• Singularities of hypoelliptic Green functions