Small time asymptotics for an example of strictly hypoelliptic heat kernel
Jacques Franchi
TL;DR
This paper investigates the small time behavior of the density for a specific non-Gaussian, strictly hypoelliptic process related to relativistic diffusion, providing insights into its asymptotic properties.
Contribution
It establishes small time asymptotics for the density of a simplified hypoelliptic process, advancing understanding of non-Gaussian hypoelliptic heat kernels.
Findings
Derived explicit small time asymptotics for the process density
Extended hypoelliptic heat kernel analysis to a non-Gaussian setting
Provided mathematical tools for studying relativistic diffusion processes
Abstract
A small time asymptotics of the density is established for a simplified (non-Gaussian, strictly hypoelliptic) second chaos process tangent to the Dudley relativistic diffusion.
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Taxonomy
TopicsAdvanced Thermodynamics and Statistical Mechanics · Statistical Mechanics and Entropy · Geometric Analysis and Curvature Flows