Beschreibung
InhaltsangabeAnalysis on Fractals.- Heat Kernels on Metric Spaces with Doubling Measure.- Self-similarity and Random Walks.- Conformal Dynamics and Schramm-Loewner Evolution.- Multifractal Analysis of the Reverse Flow for the Schramm-Loewner Evolution.- Random Fractal Processes.- From Fractals and Probability to Lévy Processes and Stochastic PDEs.- Emergence of Fractals in Complex Systems.- A Survey of Dynamical Percolation.- Measure-valued Processes, Self-similarity and Flickering Random Measures.- Random Maps and Their Scaling Limits.- Iterated Function Schemes and Transformations of Fractals.- Transformations Between Fractals.- Geometric Realizations of Hyperbolic Unimodular Substitutions.- Random Cantor Sets and Their Projections.
Inhaltsverzeichnis
Key topics: Heat semigroups in metric measure spaces.- Schramm-Loewner evolution and multifractal analysis.- Random trees and graphs, dynamical percolation.- Random walks on self-similar groups.- Fractal processes and superprocesses.- Iterated function schemes and transformations of fractals.
