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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
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