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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)
|Course notes||v1 PDF (436K)||10/12/17|