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Short-time geometry of random heat kernels

About this Title

Richard B. Sowers

Publication: Memoirs of the American Mathematical Society
Publication Year 1998: Volume 132, Number 629
ISBNs: 978-0-8218-0649-4 (print); 978-1-4704-0218-1 (online)
MathSciNet review: 1401494
MSC: Primary 60H15; Secondary 35K99, 35R60, 58G11, 58G32

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Table of Contents


  • 1. Introduction
  • 2. Guessing the dominant asymptotics
  • 3. Initial condition and evolution of the approximate kernel
  • 4. The Minakshisundaram-Pleijel coefficients
  • 5. Error estimates, proof of the main theorem, and extensions