Multifractal spectra of fragmentation processes

DOI10.1023/A:1026060516513zbMath1033.82012OpenAlexW146968870MaRDI QIDQ1415464

Julien Berestycki

Publication date: 4 December 2003

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1026060516513

zbMATH Keywords

Hausdorff dimensionmultifractal spectraGalton-Watson treesFragmentation

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Fractals (28A80)

Related Items (12)

Compensated fragmentation processes and limits of dilated fragmentations ⋮ The largest fragment of a homogeneous fragmentation process ⋮ Martingales and rates of presence in homogeneous fragmentations ⋮ The strong Malthusian behavior of growth-fragmentation processes ⋮ Traveling waves and homogeneous fragmentation ⋮ Multifractal spectra and precise rates of decay in homogeneous fragmentations ⋮ Beta-coalescents and continuous stable random trees ⋮ ENTROPY AND HAUSDORFF DIMENSION IN RANDOM GROWING TREES ⋮ Simultaneous Multifractal Analysis of the Branching and Visibility Measure on a Galton-Watson Tree ⋮ The multifractal spectrum of harmonic measure for forward moving random walks on a Galton-Watson tree ⋮ Different aspects of a random fragmentation model ⋮ Strong law of large numbers for fragmentation processes

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