05/20/2026
We are delighted to announce the publication of Ergodic Theory by Alex Blumenthal and Lai-Sang Young—a clear, rigorous, and engaging introduction to one of the most powerful frameworks for understanding dynamical systems.
Ergodic theory transforms seemingly chaotic or random behavior into structures that can be analyzed through probability, revealing deep connections across mathematics and beyond. This new volume offers a concise yet comprehensive treatment, making it ideal both as a graduate textbook and a reference for researchers in pure and applied mathematics.
✨ What’s inside?
Part I (Ch. 1–7): Foundations of ergodic theory, including invariant measures, ergodicity, mixing, entropy, and the Shannon–McMillan–Breiman Theorem
Part II (Ch. 8–13): Continuous maps on metric spaces and the full range of invariant measures
Part III (Ch. 14–16): Advanced topics rarely covered at this level, including SRB measures, their links to entropy and Lyapunov exponents, and extensions to random and infinite-dimensional systems
Throughout, the authors highlight both the mathematical elegance and the practical relevance of ergodic theory, with connections to areas such as information theory, stochastic processes, and beyond.
🔗 Learn more and get your copy:
https://link.springer.com/book/10.1007/978-3-032-08836-9
This book describes ergodic theory, an approach to dynamical systems which casts disordered and seemingly random behavior in frame of probability theory.