Teaching

In the Autumn semester of 2023/2024, I am teaching the first part of the graduate Ergodic Theory II course at the Jagiellonian University.

Here you will find lecture notes for this course (regularly updated) together with exercises.

Below are homework exercises and solutions:

• Homework 1 with solutions

• Homework 2 with solutions

Other useful resources:

• Lecture notes:

  • Mike Hochman's notes on ergodic theory for a summary of (elementary) ergodic theory

  • Joel Moreira's notes on ergodic theory with a view towards combinatorics

• Surveys:

  • Bernard Host's notes on multiple ergodic averages

  • Bryna Kra's survey on ergodic methods in additive combinatorics

  • Vitaly Bergelson's survey on ergodic Ramsey theory and connections with model theory

  • Nikos Frantzikinakis' list of open problems

• Blogs:

  • Joel Moreira's research blog on the interactions between ergodic theory, number theory and combinatorics

• Textbooks:

  • Furstenberg's Recurrence in Ergodic Theory and Combinatorial Number Theory

  • Host & Kra's Nilpotent Structures in Ergodic Theory

  • Einsiedler & Ward's Ergodic Theory: with a view towards Number Theory