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

M3 - ???researchoutput.researchoutputtypes.contributiontobookanthology.chapter???

AN - SCOPUS:85068001862

T3 - Applied Mathematical Sciences (Switzerland)

SP - 159

EP - 187

BT - Applied Mathematical Sciences (Switzerland)

PB - Springer

ER -