2017
May
23

# Dynamics lunch: Asaf Katz (HUJI) - Mobius disjointness (following Bourgain, Sarnak and Ziegler)

12:00pm to 1:00pm

## Location:

Manchester building, Hebrew University of Jerusalem, (Coffee lounge)

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2017
May
23

12:00pm to 1:00pm

Manchester building, Hebrew University of Jerusalem, (Coffee lounge)

2016
Dec
20

12:00pm to 1:00pm

Manchester building, Hebrew University of Jerusalem, (Coffee lounge)

I'll report on recent applications of the LLL to two problems in the dynamics of general countable groups. The first concerns the existence of free symbolic minimal actions; the second asks about realizations of URS's (uniformly recurrent subgroups) as stability systems.
I'll then concentrate on a solution of Gabor Elek to the second problem in the case of finitely generated groups.

2017
Apr
25

12:00pm to 1:00pm

Manchester building, Hebrew University of Jerusalem, (Coffee lounge)

2017
Jan
17

12:00pm to 1:00pm

Manchester building, Hebrew University of Jerusalem, (Coffee lounge)

I'll report on recent applications of the LLL to two problems in the dynamics of general countable groups. The first concerns the existence of free symbolic minimal actions; the second asks about realizations of URS's (uniformly recurrent subgroups) as stability systems.
I'll then concentrate on a solution of Gabor Elek to the second problem in the case of finitely generated groups.

2017
Mar
21

12:00pm to 1:00pm

Manchester building, Hebrew University of Jerusalem, (Coffee lounge)

2016
Nov
22

12:00pm to 1:00pm

Manchester building, Hebrew University of Jerusalem, (Coffee lounge)

I'll report on recent applications of the LLL to two problems in the dynamics of general countable groups. The first concerns the existence of free symbolic minimal actions; the second asks about realizations of URS's (uniformly recurrent subgroups) as stability systems.
I'll then concentrate on a solution of Gabor Elek to the second problem in the case of finitely generated groups.

2017
Jun
20

12:00pm to 1:00pm

Manchester building, Hebrew University of Jerusalem, (Coffee lounge)

2016
Dec
06

12:00pm to 1:00pm

Manchester building, Hebrew University of Jerusalem, (Coffee lounge)

2017
May
09

12:00pm to 1:00pm

Manchester building, Hebrew University of Jerusalem, (Coffee lounge)

2017
Jan
03

12:00pm to 1:00pm

Manchester building, Hebrew University of Jerusalem, (Coffee lounge)

2017
Mar
28

12:00pm to 1:00pm

Manchester building, Hebrew University of Jerusalem, (Coffee lounge)

A dimension gap for continued fractions with independent digits (after Kifer, Peres and Weiss)

2017
Mar
07

12:00pm to 1:00pm

Manchester building, Hebrew University of Jerusalem, (Coffee lounge)

2016
Dec
20

2:00pm to 3:00pm

Manchester building, Hebrew University of Jerusalem, (Room 209)

Given a probability measure mu on the space of 2x2 matrices, there is, under mild conditions, a unique measure nu on the space of lines which is stationary for mu. This measure is called the Furstenberg measure of mu, and is important in many contexts, from the study of random matrix products to recent work on self-affine sets and measures. Of particular importance are the smoothness and dimension of the Furstenberg measure. In this talk I will discuss joint work with Boris Solomyak in which we adapt methods from

2017
May
23

2:00pm to 3:00pm

Abstract: I will describe joint work in progress with Aaron Brown, Federico Rodriguez-Hertz and Simion Filip. Our aim is to find some analogue, in the context of smooth dynamics, of Ratner's theorems on unipotent flows. This would be a (partial) generalization of the results of Benoist-Quint and my work with Elon Lindenstrauss in the homogeneous setting, the results of Brown and Rodriguez-Hertz in dimension 2, and the my results with Maryam Mirzakhani in the setting of Teichmuller dynamics.

2017
Jan
10

2:00pm to 3:00pm

Manchester building, Hebrew University of Jerusalem, (Room 209)

A minimal representative for a dynamical system is a system that has the simplest possible dynamics in its topological equivalence class. This is very much related to "dynamical forcing": when existence of certain periodic orbits forces existence of others. This is quite useful in the analysis of chaotic systems. I'll give examples of minimal representatives
in dimensions one two and three. In dimension three, I'll show that the minimal representative for the chaotic Lorenz equations (for the correct parameters) is the geodesic flow on the modular surface. This will be an introductory talk.