BGU Probability and Ergodic Theory (PET) seminar Ical Atom

The seminar meets on Thursdays, 11:10-12:00, in -101

This Week

Omri Sarig (Weizmann Institute of Science)

Equidistribution of Discrepancy Sequences (Joint with Dolgopyat)

Let \alpha be an irrational number and let J be a sub interval of [0,1]. The discrepancy sequence of J is D(N), where

D(N):=the number of visits of n\alpha mod 1 to J for 1<n<N minus N J .

Weyl’s Equidistribution Theorem says that D(N)=o(N). But this sequence is not necessarily bounded.

I will characterize the irrationals \alpha of bounded type, for which the discrepancy sequence of the interval [0,1/2] is equidistributed on (1/2)Z . This is joint work with Dima Dolgopyat.

2023–24–B meetings

Upcoming Meetings

Date
Title
Speaker
Abstract
May 16 Equidistribution of Discrepancy Sequences (Joint with Dolgopyat) Omri Sarig (Weizmann Institute of Science)

Let \alpha be an irrational number and let J be a sub interval of [0,1]. The discrepancy sequence of J is D(N), where

D(N):=the number of visits of n\alpha mod 1 to J for 1<n<N minus N J .

Weyl’s Equidistribution Theorem says that D(N)=o(N). But this sequence is not necessarily bounded.

I will characterize the irrationals \alpha of bounded type, for which the discrepancy sequence of the interval [0,1/2] is equidistributed on (1/2)Z . This is joint work with Dima Dolgopyat.
May 23 TBA Adian Young (BGU)
May 30 TBA Lior Tenenbaum (Technion)
Jun 13 TBA Gill Goffer (UCSD)
Jun 27 TBA Ilya Gekhtman (Technion)

Past Meetings

Date
Title
Speaker
Abstract
May 9 Higher Kazhdan Property and Unitary Cohomology of Arithmetic Groups Uri Bader (BGU)

Seminar run by Dr. Shrey Sanadhya and Dr. Ido Grayevsky