Short-Time Asymptotics of the Heat Kernel

David Holcman*, Zeev Schuss

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


In this section, a simple algorithm is developed for extracting the lengths from the short-time hyper-asymptotic expansion of the trace. An alternative short-time expansion of the trace is given by constructing a ray approximation to Green’s function of the heat equation for a planar domain with Dirichlet or Neumann boundary conditions and by evaluating the trace by introducing the rays as global coordinates.

Original languageEnglish
Title of host publicationApplied Mathematical Sciences (Switzerland)
Number of pages29
StatePublished - 2018

Publication series

NameApplied Mathematical Sciences (Switzerland)
ISSN (Print)0066-5452
ISSN (Electronic)2196-968X


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