Asymptotically one-dimensional diffusion on the Sierpiński gasket and multi-type branching processes with varying environment

DOI10.1023/A:1014858709284zbMath1003.60071OpenAlexW1552614571MaRDI QIDQ1610502

Benjamin M. Hambly, Owen Dafydd Jones

Publication date: 20 August 2002

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1014858709284

zbMATH Keywords

heat kernelDirichlet formsdiffusion processesspectral dimensionSierpiński gasketmulti-type branching processesvarying environment

Mathematics Subject Classification ID

Dirichlet forms (31C25) Diffusion processes (60J60) Fractals (28A80) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (7)

On a recursive construction of Dirichlet form on the Sierpiński gasket ⋮ Homogeneous Dirichlet forms on p.c.f. fractals and their spectral asymptotics ⋮ Degenerate limits for one-parameter families of non-fixed-point diffusions on fractals ⋮ Large deviations for supercritical multitype branching processes ⋮ Dirichlet forms and critical exponents on fractals ⋮ Modelling transport in disordered media via diffusion on fractals. ⋮ An inhomogeneous controlled branching process

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