Heat trace asymptotics of a time dependent process
Peter Gilkey, Klaus Kirsten, JeongHyeong Park
TL;DR
This paper investigates the asymptotic behavior of heat traces associated with a family of Laplace-type operators that vary over time, relevant for understanding heat distribution in evolving geometric settings.
Contribution
It introduces a framework for analyzing heat trace asymptotics for time-dependent operators, extending classical results to dynamic geometric contexts.
Findings
Derived asymptotic formulas for heat traces with time-dependent operators
Extended classical heat kernel asymptotics to evolving metrics
Provided insights into heat distribution in non-static geometries
Abstract
We study the heat trace asymptotics defined by a time dependent family of operators of Laplace type which naturally appears for time dependent metrics.
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