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A grain of dust falling through a Sierpinski gasket

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Publication:2644339
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DOI10.1007/s10114-005-0788-xzbMath1129.60098OpenAlexW2074888095MaRDI QIDQ2644339

Samantha Leorato, Enzo Orsingher

Publication date: 31 August 2007

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0788-x


zbMATH Keywords

self-similarityHausdorff dimensionrandom walkSierpinski gasketbinomial distributionfractal


Mathematics Subject Classification ID

Special processes (60K99) Fractals (28A80) Hausdorff and packing measures (28A78)


Related Items (1)

Branching on a Sierpinski graph



Cites Work

  • The construction of Brownian motion on the Sierpinski carpet
  • Brownian motion on the Sierpinski gasket
  • How many diffusions exist on the Vicsek snowflake?
  • Estimates of transition densities for Brownian motion of nested fractals
  • Almost sure behaviour of the perturbed Brownian motion on the Sierpiński gasket
  • Large deviations for Brownian motion on the Sierpiński gasket
  • Local times for Brownian motion on the Sierpinski carpet
  • Transition probabilities for the simple random walk on the Sierpinski graph
  • The Average Displacement of the Simple Random Walk on the Sierpinski Graph


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