 Ergodic Ramsey theory

Ergodic Ramsey theory is a branch of mathematics that combines ideas from ergodic theory and Ramsey theory to study the interplay between dynamical systems and combinatorial structures. It focuses on understanding the behavior of systems that undergo repeated iterations or transformations over time, particularly in the context of finding regular patterns or structures within them. ### Key Concepts: 1. **Ergodic Theory**: This is a field of mathematics that studies the long-term average behavior of dynamical systems.