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Brownian motion on nested fractals

About this Title

Tom Lindstrøm

Publication: Memoirs of the American Mathematical Society
Publication Year: 1990; Volume 83, Number 420
ISBNs: 978-0-8218-2484-9 (print); 978-1-4704-0843-5 (online)
DOI: https://doi.org/10.1090/memo/0420
MathSciNet review: 988082
MSC: Primary 60J65; Secondary 03H05, 03H10, 35P20, 60J25, 60K35, 82A41

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Table of Contents

Chapters

  • I. Introduction
  • II. Fractals in physics and mathematics
  • III. Brownian motion on a snowflake
  • IV. Nested fractals
  • V. Transition probabilities
  • VI. Transition times
  • VII. Brownian motion on nested fractals
  • VIII. An invariance principle
  • IX. The Laplacian and its eigenvalues
  • X. Open problems