TY - CHAP
T1 - Short-Time Asymptotics of the Heat Kernel
AU - Holcman, David
AU - Schuss, Zeev
N1 - Publisher Copyright:
© 2018, Springer International Publishing AG, part of Springer Nature.
PY - 2018
Y1 - 2018
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85068001862&partnerID=8YFLogxK
U2 - 10.1007/978-3-319-76895-3_5
DO - 10.1007/978-3-319-76895-3_5
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AN - SCOPUS:85068001862
T3 - Applied Mathematical Sciences (Switzerland)
SP - 159
EP - 187
BT - Applied Mathematical Sciences (Switzerland)
PB - Springer
ER -