Fractal Geometry and Stochastics IV

Part 1. Analysis on Fractals

1. Heat Kernels on Metric Spaces with Doubling Measure
Alexander Grigor’yan, Jiaxin Hu, Ka-Sing Lau

2. Self-similarity and Random Walks
Vadim A. Kaimanovich

Part 2. Conformal Dynamics and Schramm-Loewner Evolution

3. Multifractal Analysis of the Reverse Flow for the Schramm-Loewner Evolution
Gregory F. Lawler

Part 3. Random Fractal Processes

4. From Fractals and Probability to Lévy Processes and Stochastic PDEs
Davar Khoshnevisan

Part 4. Emergence of Fractals in Complex Systems

5. A Survey of Dynamical Percolation
Jeffrey E. Steif

6. Measure-valued Processes, Self-similarity and Flickering Random Measures
Jochen Blath

7. Random Maps and Their Scaling Limits
Grégory Miermont

Part 5. Iterated Function Schemes and Transformations of Fractals

8. Transformations Between Fractals
Michael F. Barnsley

9. Geometric Realizations of Hyperbolic Unimodular Substitutions
Maki Furukado, Shunji Ito, Hui Rao

10. Random Cantor Sets and Their Projections
Michel Dekking

Keywords: Mathematics, Probability Theory and Stochastic Processes