Events & Seminars

2015 Dec 02

Dynamics & probability: Ron Rosenthal (ETHZ) "Local limit theorem for certain ballistic random walks in random environments"

2:00pm to 3:00pm

Location: 

Ross 70
Title: Local limit theorem for certain ballistic random walks in random environments Abstract: We study the model of random walks in random environments in dimension four and higher under Sznitman's ballisticity condition (T'). We prove a version of a local Central Limit Theorem for the model and also the existence of an equivalent measure which is invariant with respect to the point of view of the particle. This is a joint work with Noam Berger and Moran Cohen.
2015 Nov 10

Dynamics & probability: Ariel Rapaport (HUJI) " Self-affine measures with equal Hausdorff and Lyapunov dimensions"

2:00pm to 3:00pm

Location: 

Manchester building, Hebrew University of Jerusalem, (Room 209)
Title: Self-affine measures with equal Hausdorff and Lyapunov dimensions Abstract: Let μ be the stationary measure on ℝd which corresponds to a self-affine iterated function system Φ and a probability vector p. Denote by A⊂Gl(d,ℝ) the linear parts of Φ. Assuming the members of A contract by more than 12, it follows from a result by Jordan, Pollicott and Simon, that if the translations of Φ are drawn according to the Lebesgue measure, then dimHμ=min{D,d} almost surely. Here D is the Lyapunov dimension, which is an explicit constant defined in terms of A and p.
2015 Nov 17

Dynamics & probability: Sebastian Donoso (HUJI), "Topological structures and the pointwise convergence of some averages for commuting transformations"

2:00pm to 3:00pm

Location: 

Manchester building, Hebrew University of Jerusalem, (Room 209)
Title: Topological structures and the pointwise convergence of some averages for commuting transformations Abstract: ``Topological structures'' associated to a topological dynamical system are recently developed tools in topological dynamics. They have several applications, including the characterization of topological dynamical systems, computing automorphisms groups and even the pointwise convergence of some averages.  In this talk I will discuss some developments of this subject, emphasizing applications to the pointwise convergence of some averages.
2015 Nov 02

Combinatorics seminar

Repeats every week every Monday until Sun Nov 08 2015 .
11:00am to 1:00pm

Abstract: Expander graphs have many wonderful properties, and have been an immensely useful and fruitful area of research in both applicative and theoretical fields. There has been a lot of interest recently in the study of higher dimensional generalizations of expanders to d-uniform hypergraphs. Many competing definitions have been proposed, and different definitions may be appropriate depending on the property of expanders that we wish to preserve.
2015 Nov 03

Dynamics lunch: Or Landesberg (HUJI)

12:00pm to 1:00pm

Location: 

Manchester building, Hebrew University of Jerusalem, (Room 209)
Title: On the Mixing Property for Hyperbolic Systems [following a paper by Martine Babillot]
2016 Nov 01

Dynamics & probability

Repeats every week every Tuesday until Tue Jan 24 2017 except Tue Nov 01 2016.
2:00pm to 3:00pm

2:00pm to 3:00pm
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2:00pm to 3:00pm
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2:00pm to 3:00pm
2:00pm to 3:00pm

Location: 

Manchester building, Hebrew University of Jerusalem, (Room 209)
Given a Z^d shift of finite type and a finite range shift-invariant interaction, we present sufficient conditions for efficient approximation of pressure and, in particular, topological entropy. Among these conditions, we introduce a combinatorial analog of the measure-theoretic property of Gibbs measures known as strong spatial mixing and we show that it implies many desirable properties in the context of symbolic dynamics. Next, we apply our
2017 Mar 16

Basic Notions: Benjy Weiss (HUJI) - What are amenable groups and why are groups non-amenable

4:00pm to 5:15pm

Location: 

Ross 70
Title: What are amenable groups and why are groups non-amenable Abstract: I will give an introduction to amenable groups and explain the result of Kevin Whyte that a countable non-amenable group admits a "translation-like" action by a non-abelian free group. I will also discuss (without proof) a measure theoretic analogue of this result due to D. Gaboriau and R. Lyons.
2017 Mar 23

Basic Notions: Benjy Weiss (HUJI) - What are amenable groups and why are groups non-amenable II

4:00pm to 5:15pm

Location: 

Ross 70
Title: What are amenable groups and why are groups non-amenable Abstract: I will give an introduction to amenable groups and explain the result of Kevin Whyte that a countable non-amenable group admits a "translation-like" action by a non-abelian free group. I will also discuss (without proof) a measure theoretic analogue of this result due to D. Gaboriau and R. Lyons.
2017 Mar 09

Basic Notions: Benjy Weiss (HUJI) - What are amenable groups and why are groups non-amenable

4:00pm to 5:15pm

Location: 

Ross 70
Title: What are amenable groups and why are groups non-amenable Abstract: I will give an introduction to amenable groups and explain the result of Kevin Whyte that a countable non-amenable group admits a "translation-like" action by a non-abelian free group. I will also discuss (without proof) a measure theoretic analogue of this result due to D. Gaboriau and R. Lyons.
2016 Dec 06

Dynamics lunch: Sasha Fish (Sydney) - Monochromatic sums and products in the natural numbers

12:00pm to 1:00pm

Location: 

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.

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