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A diffusion defined on a fractal state space

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Publication:808540
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DOI10.1016/0304-4149(91)90043-CzbMath0732.60084OpenAlexW1980041115MaRDI QIDQ808540

William B. Krebs

Publication date: 1991

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4149(91)90043-c


zbMATH Keywords

Brownian motioninvariant measuresHausdorff measureRandom walksnested fractal


Mathematics Subject Classification ID

Diffusion processes (60J60) Fractals (28A80)


Related Items

REFLECTED BROWNIAN MOTION ON SIMPLE NESTED FRACTALS ⋮ Renormalisation of finitely ramified fractals ⋮ Heat equation with a general stochastic measure on nested fractals ⋮ Hitting Time Bounds for Brownian Motion on a Fractal ⋮ The homogenization problem for Vicsek set ⋮ How many diffusions exist on the Vicsek snowflake?



Cites Work

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  • Brownian motion on the Sierpinski gasket
  • Meeting times for independent Markov chains
  • Random walks on graphs
  • Iterated function systems and the global construction of fractals
  • Brownian motion on nested fractals
  • On Recent Theorems Concerning the Supercritical Galton-Watson Process
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