Summer School in Dynamics at ICTP  Course material
The website of the school is here.
The online flipchart for giving any Feedback and for the Career panels and Information Fair is
here.
If a link doesn't work, please email
irene.pasquinelli@durham.ac.uk.
Week 2  Ergodicity in smooth dynamics (Jana RodriguezHertz, Amie Wilkinson, Khadim War)
Week 2  Renormalization in entropy zero systems (Corinna Ulcigrai)
Week 1  Rotations of the circle and renormalization (Corinna Ulcigrai)

Lecture 1:
Lecture notes,
Exercises,
Solutions.

Lecture 2:
Lecture notes,
Exercises,
Solutions.

Lecture 3:
Notes,
Exercises.
References:

Chapter 10 of the book
Topics in ergodic theory
by
Yakov G. Sinaĭ
(Princeton Mathematical Series, Volume 44 (1994) ISBN: 0691032777),

Pages 56 of the Lecture Notes by
Davoud Cheraghi (see Additional References below), but careful to the different notations,

Section 5.4 of
Flat Surfaces by
Anton Zorich,
Frontiers in number theory, physics, and geometry. I, 437–583, Springer, Berlin, 2006 .

Lecture 4:
Exercises.
References:

Lecture 5:
Lecture notes,
Exercises.
Week 1  Piecewise expanding maps of the circle (Jana RodriguezHertz)
Week 1  Introduction to ergodic theory (Oliver Butterley, Irene Pasquinelli, Stefano Luzzatto, Lucia Simonelli, Davide Ravotti)
Additional references

Lecture notes in Dynamical Systems and Ergodic Theory by Corinna Ulcigrai:
Part I
(first examples of dynamical systems and their properties: rotations, doubling map, Gauss map and continued fractions, symbolic coding, ...);
Part II
(shift spaces and topological dynamics: topologically transitive, topologically mixing, entropy, ...);
Part III
(ergodic theory: measure preserving, Poincaré recurrence, ergodicity, Birkhoff ergodic theorem, ...).

An introductory course by Davoud Cheraghi
in dynamics which has good overlap with the topics of the first week courses
like rotations (Weyl theorem, renormalization, ...),
expanding maps (degree, symbolic coding, ...)
can be found
here.

More advanced lecture notes on Ergodic Theory by Michael Hochman can be found
here.

Lecture notes by Stefano Luzzatto: an
Introduction to Dynamical System
and an
Introduction to Smooth Ergodic Theory