Starts 16 Jul 2018
Ends 27 Jul 2018
Central European Time
ICTP
Budinich Lecture Hall (LB)
Strada Costiera, 11 I - 34151 Trieste (Italy)
DEADLINE for applicants requesting Financial Support:  2 APRIL 2018

DEADLINE for applicants NOT requesting Financial Support: 25 JUNE 2018


Organizers and Lecturers:
J. Rodriguez-Hertz, SUS Tech., Shenzan, China
C. Ulcigrai, Univ. Bristol, U.K.
A. Wilkinson, Univ. Chicago, U.S.A.

Local Organizer:
S. Luzzatto, ICTP, Trieste, Italy

A circle of concepts and methods in dynamics
Dynamical Systems and Ergodic Theory constitute a vibrant and exciting field of current research in pure mathematics, at the crossroad between analysis, probability and geometry. Several Fields Medals have been awarded in the area.

The School on Dynamical Systems will include introductory courses.

Week 1:
Specifically aimed at Masters students and beginning PhD students, introducing a variety of fundamental ideas and techniques in the simple setting of circle maps.

Week 2:
Will consist of more advanced courses which will build on the introductory courses and give some ideas of current directions of research.
 
Tutorial and exercise sessions will be held regularly. Activities directed to encourage and support women in mathematics, such as panel discussions and small groups mentoring and networking, will be organized during the event.
 
Tutors:
O. Butterley, ICTP, Trieste, Italy
I. Pasquinelli, Durham University, U.K.
D. Ravotti, Univ. Bristol, U.K.
L. Simonelli, ICTP, Trieste, Italy
K. War, Ruhr-Universitaet, Bochum, Germany


TOPICS:

Week 1:  Circle Maps
• Rotation Numbers;
• Distortion control;
• Structural stability;
• Renormalization and continued fractions;
• Symbolic dynamics and Sturmian sequences;
• Introduction to ergodic theory.
  (Invariant measures, ergodicity and Birkhoff  ergodic theorem).

Week 2:  Advanced courses
• Hyperbolicity;
• Ergodicity;
• Renormalization for zero entropy systems.

Organizers

Jana Rodriguez-Hertz (Southern University of Science and Technology, Shenzhen, China), Corinna Ulcigrai (University of Bristol), Amie Wilkinson (University of Chicago), Local Organiser: Stefano Luzzatto