Branching Diffusions on $H^d$ with Variable Fission: The Hausdorff Dimension of the Limiting Set

DOI10.1137/S0040585X97982281zbMath1112.60081OpenAlexW1995076681MaRDI QIDQ3434981

M. Ya. Kel'bert, Yu. M. Sukhov

Publication date: 3 May 2007

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0040585x97982281

zbMATH Keywords

Hausdorff dimensionSturm-Liouville equationminimal positive solutionbranching diffusionLobachevsky spacelimiting setequidistant projectionhorospheric projection

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Hausdorff and packing measures (28A78)

Related Items (4)

Motion among random obstacles on a hyperbolic space ⋮ Limit Set of Branching Random Walks on Hyperbolic Groups ⋮ On the asymptotic behavior of the hyperbolic Brownian motion ⋮ Cascades of particles moving at finite velocity in hyperbolic spaces

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