The Dynamics & Probability Seminar meets every Tuesday at 14:15 at Ross 70.

The HUJI dynamics group webpage can be found here.

2019
Dec
17

# Nishant Chandgotia (HUJI)

2:00pm to 3:00pm

The HUJI dynamics group webpage can be found here.

2019
Dec
17

2:00pm to 3:00pm

2020
Jan
07

2:00pm to 3:00pm

2019
Dec
03

2:00pm to 3:00pm

2020
Jan
28

2:00pm to 3:00pm

2019
Dec
10

2:00pm to 3:00pm

2019
Oct
29

2:00pm to 3:00pm

Ornstein and Shields (Advances in Math., 10:143-146, 1973) proved that Brownian motion reflected on a bounded region is an infinite entropy Bernoulli flow and thus Ornstein theory yielded the existence of a measure-preserving isomorphism between any two such Brownian motions. For fixed h >0, we construct by elementary methods, isomorphisms with almost surely finite coding windows between Brownian motions reflected on the intervals [0, qh] for all positive rationals q. This is joint work with Terry Soo.

2019
Nov
26

2019
Nov
19

2:00pm to 3:00pm

Abstract:

Recently Uri Gabor refuted an old conjecture stating that any

finitary factor of an i.i.d process is finitarly isomorphic to an

i.i.d process. Complementing Gabor's result,

in this talk, which is based on work in progress with Yinon Spinka,

we will prove that any countable-valued process which is admits a

finitary a coding by some i.i.d process furthermore admits an

$\epsilon$-efficient finitary coding, for any positive $\epsilon$.

Here an ``$\epsilon$-efficient coding'' means that the entropy

Recently Uri Gabor refuted an old conjecture stating that any

finitary factor of an i.i.d process is finitarly isomorphic to an

i.i.d process. Complementing Gabor's result,

in this talk, which is based on work in progress with Yinon Spinka,

we will prove that any countable-valued process which is admits a

finitary a coding by some i.i.d process furthermore admits an

$\epsilon$-efficient finitary coding, for any positive $\epsilon$.

Here an ``$\epsilon$-efficient coding'' means that the entropy

2020
Jan
14

2:00pm to 3:00pm

2019
Nov
12

2:00pm to 3:00pm

Abstract: In this talk, I'll show the invalidity of finitary counterparts for three main theorems in classification theory: The preservation of being a Bernoulli shift through factors, Sinai's factor theorem, and the weak Pinsker property. This gives a negative answer to an old conjecture and to a recent open problem.

2019
Nov
05

2:00pm to 3:00pm

Abstract:

We consider a locally finite (Radon) measure on SO(d,1)/Gamma

invariant under a horospherical subgroup of SO(d,1) where Gamma is a discrete, but not necessarily geometrically finite, subgroup. We show that whenever the measure does not observe any additional invariance properties then it must be supported on a set of points with geometrically degenerate trajectories under the corresponding contracting 1-parameter diagonalizable flow (geodesic flow). This is joint work with Elon Lindenstrauss.

We consider a locally finite (Radon) measure on SO(d,1)/Gamma

invariant under a horospherical subgroup of SO(d,1) where Gamma is a discrete, but not necessarily geometrically finite, subgroup. We show that whenever the measure does not observe any additional invariance properties then it must be supported on a set of points with geometrically degenerate trajectories under the corresponding contracting 1-parameter diagonalizable flow (geodesic flow). This is joint work with Elon Lindenstrauss.

2020
Jan
21

2:00pm to 3:00pm

2019
Jun
18

2:00pm to 3:00pm

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

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

2019
Jun
11

2:00pm to 3:00pm

Abstract. We consider families of holomorphic maps defined on subsets of the complex plane,

2019
May
13