Project CEMAPRE internal
| Title | Thermodynamic formalism of random dynamical systems |
| Participants | Jochen Bröcker, Gianluigi Del Magno (Principal Investigator) |
| Summary | The composition of random maps acting on a manifold is called a discrete-time random dynamical system. Random dynamical systems model the evolution of systems when random effects play an important role on the dynamics. The ergodic theory of random dynamical systems aims to identify the random invariant measures of the system and to study their properties. One fruitful approach to this problem, called thermodynamic formalism, consists in studying the spectral properties of a proper class of transfer operators of the system. The aim of this project is to accomplish such an analysis for discrete-time random dynamical systems with hyperbolic behavior, such as random piecewise expanding maps and random hyperbolic automorphisms of the torus. |