Global properties of stochastic Loewner evolution driven by Lévy processes

DOI10.1088/1742-5468/2008/01/P01019zbMath1456.82783arXiv0710.2680OpenAlexW3100950963MaRDI QIDQ5239424

P. Oikonomou, I. Rushkin, Ilya A. Gruzberg, Leo P. Kadanoff

Publication date: 22 October 2019

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.2680

zbMATH Keywords

stochastic processes (theory)fractal growth (theory)

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Interacting random processes; statistical mechanics type models; percolation theory (60K35) General theory of stochastic processes (60G07) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31)

Related Items (3)

Fractional stochastic Loewner evolution and scaling curves ⋮ On integrability and exact solvability in deterministic and stochastic Laplacian growth ⋮ The coefficient problem and multifractality of whole-plane SLE \& LLE

Cites Work

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• Critical curves in conformally invariant statistical systems
• Conformally Invariant Fractals and Potential Theory
• Lévy Processes and Stochastic Calculus
• Stochastic Loewner evolution driven by Lévy processes
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

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