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Stefano Galatolo
Università di Pisa
MR ID: 652606
Reference #


Posted date
2017-10-12 22:09:11
Revised date
2017-10-13 04:44:55
Notes type
   Topics Course
   Dynamical Systems and Ergodic Theory
      Discrete Time Systems
      Stochastic Process

Statistical properties of dynamics. Introduction to the functional analytic approach.

These are lecture notes for a minicourse approaching the satistical properties of a dynamical system by the study of the associated transfer operator (considered on a suitable function space).
The following questions are addressed:
∙ existence of a regular invariant measure;
∙ Lasota Yorke inequalities and spectral gap;
∙ decay of correlations and some limit theorem;
∙ stability under perturbations of the system
∙ linear response
∙ hyperbolic systems

Course Notes and Supplementary Material (PDF format)

TypeFile (Size)Date
Course notes v1 PDF (436K) 10/12/17