Teaching

Here you will find lecture notes (regularly updated) for a course on Combinatorial Ergodic Theory 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