# Ergodic Theory and Dynamical Systems 2014-15

##### The seminars are held on Tuesdays at 14:00 in Room B3.02 - Mathematics Institute

Organizers: Alexey Korepanov, Zemer Kosloff

## Term 1

- September 23, 2014

**Yuri Lima**(Maryland)

Symbolic dynamics for three dimensional flows with positive topological entropy.

- September 30, 2014

**Gerhard Keller**(Erlangen).

An elementary proof for the dimension of the graph of the classical Weierstrass function.

- October 7, 2014

**Jean Pierre Marco**(Paris VI)

A geometric proof of the Arnold conjecture for 3 degree-of-freedom convex nearly integrable systems.

- October 14,

**Xiong Jin (**Manchester)

Dimension conservation of self-similar sets and fractal percolation.

- October 21, 2014

**Matthieu Astorg**(Toulouse)

Immersion of the dynamical Teichmüller space into the moduli space of

rational maps.

- October 28, 2014

**Anders Oberg**(Uppsala)

Ergodic Theory of the Kusuoka Measure.

- November 4, 2014

**Alexandre Dezotti**(Liverpool)

Convergence properties of Gronwall area formula for quadratic Julia sets

- November 5, 2014

**Stefano Galatolo**(Pisa)

Rigorous computation of invariant measures and other properties of dynamics

- November 11, 2014

**Sabyasachi Mukherjee**(Jacobs)

The topological differences between the Mandelbrot set and the tricorn.

- November 18, 2014

**Michael Bromberg**(Tel Aviv)

Weak invariance principle for the local times of Gibbs-Markov processes

- November 25, 2014

**Ian Morris**(Surrey)

The transfer operator for the binary Euclidean algorithm

- December 2, 2014

**Jens Marklof**(Bristol)

Directions in hyperbolic lattices

## Term 2

- January 6, 2015

**Dmitry Turaev**(Imperial)

Three types of chaos

- January 13, 2015

**Anton Solomko**(Bristol)

Centralizers and factors of simple actions

- January 20, 2015

**Balasz Barany**(Warwick)

Ledrappier-Young formula for self-affine measures

- January 27, 2015

**Mike Field**(Rice)

Asynchronous networks and event driven dynamics

- February 3, 2015

**Mauro Artigiani**(Bristol)

Lagrange spectrum of Veech surfaces

- February 10, 2015

**Rhiannon Dougall**(Warwick)

Amenability, growth of closed geodesics and critical exponents of subgroups.

- February 17, 2015

**Felipe Ramirez**(York)

Rational approximation of points lying on submanifolds of Euclidean space

- February 24, 2015

**Thomas Kempton**(St Andrews)

Dynamics on self-affine sets.

- March 3, 2015

**Ilya Vinogradov**(Bristol)

Effective Ratner Theorem for ASL(2, R) and the gaps of the sequence

\sqrt n modulo 1

- March 10, 2015

**Liviana Palmisano**(Impan)

Quasi-symmetric conjugation of circle maps with a flat interval

**Term 3**

- April 21, 2015

**Davoud Cheraghi**(Imperial)

On a conjecture of Marmi, Moussa, and Yoccoz on the sizes of Siegel disks

- April 28, 2015

**Stergios M. Antonakoudis**(Cambridge)

Fixed point theorems for dynamical systems on Teichmueller spaces and beyond

- May 5, 2015

**Karma Dajani**(Utrecht)

Random expansions, inﬁnite Bernoulli convolutions, and Local dimensions.

- May 12, 2015

No seminar, One day ergodic theory meeting at Manchester. - May 19,2015

**Ale Jan Homburg**(Amsterdam)

Contractive dynamics in Iterated function systems

- May 26,2015

**Mike Todd**(St. Andrews)

Dynamical systems with holes: slow mixing cases

- June 2, 2015

Cancelled. No seminar. - June 9, 2015

**Henna Koivusalo**(York)

Pattern Complexity in cut and project sets - June 16, 2015

**Jonathan Fraser**(Manchester)

Dimensions theory for parabolic limit sets

- June 23,2015
(Ohio State)

Daniel J. Thompson

Entropy for generalised beta-transformations

- August 26, 2015

J**on Aaronson**(Tel Aviv)

Distributional limits of positive, ergodic stationary processes

& infinite ergodic transformations