MATH642

Dynamical Systems I

Prerequisite: MATH432. And MATH630; or students who have taken courses with comparable content may contact the department. Foundations of topological dynamics, homeomorphisms, flows, periodic and recurrent points, transitivity and minimality, symbolic dynamics. Elements of ergodic theory, invariant measures and sets, ergodicity, ergodic theorems, mixing, spectral theory, flows and sections. Applications of dynamical systems to number theory, the Weyl theorem, the distribution of values of polynomials, Vander Waerden's theorem on arithmetic progressions.

Fall 2022

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Average rating: 1.78

Fall 2021

34 reviews
Average rating: 1.94

Past Semesters

9 reviews
Average rating: 4.22

9 reviews
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20 reviews
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21 reviews
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4 reviews
Average rating: 4.50

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