Ergodic Theory: Patterns in Time from Gas to Primes

A friendly tour of the math of long-run behavior: how time averages and spatial averages align, what that says about chaotic systems, and why Boltzmann, ergodic theorems, circle rotations, and Sinai billiards matter. We’ll also explore a surprising bridge to number theory through prime patterns and the Green–Tao breakthrough, tying together physics, weather, and the structure of the universe in one coherent story.

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