As a graduate math and physics student, I am introducing myself to the study of Ergodic Theory, reading Introduction to the Modern Theory of Dynamical Systems, by Katok and Hasselblatt. I understand the mathematical definitions but it seems to me that there is no “intuition” behind the concepts or motivation. My aim is to apply Ergodic Theory to Quantum-mechanical systems. For example, I cannot “see” what is a topologically transitive or topologically mixing dynamical system, and I don’t know where I can get better explanations. Anyone can help me with this, explaining me the aim of such concepts I have mentioned or giving me some references? Thanks.
2026-02-24 09:52:15.1771926735
Intuition of the concepts behind Ergodic Theory
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