Seminar on homogeneous dynamics and applications

Tel Aviv University, Fall 2025 and Spring 2026


Time and place Thursday 15:10-17:00 Schreiber 210.

The lectures will also be broadcast by Zoom, Meeting ID 820 2721 4582

Recordings will be available upon request -- if you would like to see a recording please send me an email.




About This year we will study effective results in homogeneous dynamics. First we will discuss the general problem of effectivization of results in ergodic theory and discuss by-now classical techniques involving the theory of unitary representations. Then we will turn to the following recent breakthrough papers.

  • Khintchine dichotomy for self-similar measures, by Timothée Bénard, Weikun He and Han Zhang

  • Multislicing and effective equidistribution for random walks on some homogeneous spaces, by Timothée Bénard and Weikun He

  • Khintchine dichotomy and Schmidt estimates for self-similar measures on R^d, by Timothee Benard, Weikun He and Han Zhang.

  • Effective equidistribution for some one-parameter unipotent flows, by Elon Lindenstrauss, Amir Mohammadi and Zhiren Wang.

  • Effective version of Ratner's equidistribution theorem for SL(3,R), by Lei Yang.




    		• Schedule
  • Nov 13 Overview and organizational meeting

  • Nov 27, Tomer Guralnik, Meaning of equidistribution, and pointwise ergodic theorem

    Here are the notes from Tomer's talk.

  • Dec 4, Oded Elisha, Basics of homogeneous dynamics

    Here are the notes from Oded's talk.

  • Dec 11, Jonathan Gontmakher, Effective results for all functions are impossible + unique ergodicity

    Here are the notes for Jonathan's talk.

  • Dec 18, Yonatan Igler, Using unitary representations in homogeneous dynamics

    Here are the notes for Yonatan's talk.

  • Dec 25, Roey Zemmel, Property (T)

    Here are the notes for Roey's talk.

  • Jan 1, 2026, Alon Agin, Some implications for Diophantine approximation

    Here are the notes for Alon's talk.

  • Jan 8, 2026 Action Now meeting, Ben Gurion University

    (no seminar meeting).

  • Jan 15, Hayim Shamir, (Effective) unique ergodicity of the horocycle flow in the compact case.

  • Jan 22, Chen Frenkel, (Effective) random walk equidistribution and Diophantine approximation.

    Here are the notes for Chen's talk.

  • April 16, Overview of the papers of Benard-He-Zhang (and organizational meeting for second semester)

  • April 23, Alon Agin, Outline of the main results of the paper of Benard-He-Zhang and some preliminaries about self-similar measures

    Here are the notes for Alon's talk.

  • April 30, Rotem Yaari, Derivations of Theorems B and C from local dimension estimates

    Here are the notes for Rotem's talk.

  • May 7, Viktoria Rudykh, Some estimates on fractal measures

    Here are the notes for Vika's talk.

  • May 14, Rishi Kumar, The initial dimension bounds

    Here are the notes for Rishi's talk.

  • May 21, no meeting (Shavuot)

  • May 28, Carlos Ospina An introduction to the Bourgain projection theorem



    		• Previous years Fall 2014

    Spring 2015

    Fall 2015

    Spring 2016

    Fall 2016

    Spring 2017

    Fall 2017

    Spring 2018

    Fall 2018

    Spring 2019

    Fall 2019

    Spring 2020

    Fall 2020 and Spring 2021

    Fall 2021 and Spring 2022

    Fall 2023 and Spring 2024

    Fall 2024 and Spring 2025