Distance Expanding Random Mappings, Thermodynamical Formalism, Gibbs Measures and Fractal Geometry

• Main Authors: Mayer, Volker (Author), Urbanski, Mariusz (Author), Skorulski, Bartlomiej (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2011.
• Series: Lecture Notes in Mathematics, 2036
• Subjects: Mathematics.; Dynamics.; Ergodic theory.; Dynamical Systems and Ergodic Theory.

The theory of random dynamical systems originated from stochastic differential equations. It is intended to provide a framework and techniques to describe and analyze the evolution of dynamical systems when the input and output data are known only approximately, according to some probability distrib...

Table of Contents:

• 1 Introduction
• 2 Expanding Random Maps
• 3 The RPF–theorem
• 4 Measurability, Pressure and Gibbs Condition
• 5 Fractal Structure of Conformal Expanding Random Repellers
• 6 Multifractal Analysis
• 7 Expanding in the Mean
• 8 Classical Expanding Random Systems
• 9 Real Analyticity of Pressure.