• 2019 Jun 18

# Dynamics and probability: David Jerison (MIT) - Localization of eigenfunctions via an effective potential

2:00pm to 3:00pm

## Location:

Ross 70
We discuss joint work with Douglas Arnold, Guy David, Marcel Filoche and Svitlana Mayboroda. Consider for the operator $L = -\Delta + V$ with periodic boundary conditions, and more generally on the manifold with or without boundary. Anderson localization, a significant feature of semiconductor physics, says that the eigenfunctions of $L$ are exponentially localized with high probability for many classes of random potentials $V$. Filoche and Mayboroda introduced the function $u$ solving $Lu = 1$ and showed numerically that it strongly reflects this localization.
• 2019 Jun 11

# Dynamics seminar: Genadi Levin " Transversality and transfer operators with applications to monotonicity of interval maps"

2:00pm to 3:00pm

Abstract. We consider families of holomorphic maps defined on subsets of the complex plane,
• 2019 Jun 04

# Dynamics seminar : Balasz Barany "Semi-groups of matrices with almost multiplicative norms and thermodynamic formalism"

2:00pm to 3:00pm

• 2019 May 28

# Dynamics seminar: Toru Sera (Kyoto) "Multidimensional arcsine law for intermittent interval maps"

2:00pm to 3:00pm

Abstract: Paul L\'evy's classical arcsine law states that the occupation time ratio of one-dimensional Brownian motion for the positive side is arcsine-distributed. The arcsine law has been generalized to a variety of classes of stochastic processes and dynamical systems.
• 2019 May 14

# Dynamics Seminar: Rene Ruhr (Technion) Counting Saddle Connection on Translation surfaces.

2:00pm to 3:00pm

Abstract: A collection of polygons with the property that to each side one can find another side parallel to it can be endowed with a translation surface structure by glueing along those edges. This means that the closed surfaces obtained carries a flat metric outside finitely many conical singularities. Geodesics (which are straight lines) connecting such singularities are called saddle connections.
• 2019 May 13

# Special lectore: Jean-Pierre Conze (University of Rennes) "Asymptotic normal distribution of ergodic sums over rotations along a large sequence of times."

2:00pm to 3:00pm

Ross 63
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• 2019 May 07

# Anatoly Vershik (St. Petersburg) Соmbinatorial (locally finite) еncoding of the Bernoulli processes with infinite entropy.

2:00pm to 3:00pm

Abstract. The realization of m.p automorphisms as transfer on the space of the paths on the graded graphs allows to use new kind of encoding of one-sided Bernoulli shift. I will start with simple example how to realize Bernoulli shift in the locally finite space (graph) $\prod_n {1,2,\dots n}$ (triangle compact.) Much more complicated example connected to old papers by S.Kerov-Vershik and recent by Romik-Sniady in which one-sided Bernoulli shift is realized as Schutzenberger transfer on the space of infinite Young tableaux with Plancherel Measure. These examples open series of
• 2019 Apr 30

# Dynamics Seminar: Iftach Dayan (TAU) "Random walks on the 1-dim torus and an application to normal numbers on fractals"

2:15pm to 3:15pm

## Location:

Ross 70
Abstract: We show that under certain conditions, a random walk on the 1-dim torus by affine expanding maps has a unique stationary measure. We then use this result to show that given an IFS of contracting similarity maps of the real line with a uniform contraction ratio 1/D, where D is some integer > 1, under some suitable condition, almost every point in the attractor of the given IFS (w.r.t. a natural measure) is normal to base D.
• 2019 Apr 02

# Dynamics Seminar : Yonatan Gutman (IMPAN). On Almost Lossless Compression

2:15pm to 3:15pm

## Location:

Ross 70
Abstract: We answer the following questions: 1. Consider a Borel set $X \subset \R^N$ equipped with a probability measure $\mu$. For fixed \$k
• 2019 Mar 26

# Dynamics Seminar: Oren Louidor (Technion) A Scaling limit for the Cover Time of the Binary Tree.

2:15pm to 3:15pm

Abstract: