Blogs about: Weak Mixing
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254A, Lecture 14: Weakly mixing extensions
Having studied compact extensions in the previous lecture, we now consider the opposite type of extension, namely that of a weakly mixing extension. Just as compact extensions are “relative… more →
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Weak Mixing
wrote 4 months ago: — 1. Introduction — When studying measure preserving systems (defined below) there are m … more →
Lyapunov spectrum of the Kontsevich-Zorich cocycle on the Hodge bundle over square-tiled cyclic covers V
wrote 8 months ago: After re-reading the preliminary version of this survey text with Giovanni Forni, I noticed that it … more →
Koopman-von Neumann Decomposition
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wrote 1 year ago: In my previous post I presented an ergodic theoretical proof of Roth’s Theorem, assuming the K … more →
Some short notes
wrote 1 year ago: 5. Let be a locally convex topological linear space, be a compact convex subset of and be the set of … more →
ERT9: Weak Mixing implies Weak Mixing of all orders
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wrote 3 years ago: Remember one of the characterizations we got in ERT8 of weak mixing: a mps is weak mixing if and onl … more →
ERT8: Weak Mixing Systems
wrote 3 years ago: 1. The dichotomy between structure and randomness The main tool used in ERT1 and ERT2 was: given a m … more →
Notes for my lecture on multiple recurrence theorem for weakly mixing systems – Part 2
wrote 3 years ago: Now we can start to prove the multiple recurrence theorem in the weak mixing case. Again the materia … more →
Notes for my lecture on multiple recurrence theorem for weakly mixing systems - Part 1
wrote 3 years ago: So…It’s finally my term to lecture on the ergodic theory seminar! (background, our goal … more →
254A, Lecture 14: Weakly mixing extensions
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wrote 5 years ago: Having studied compact extensions in the previous lecture, we now consider the opposite type of exte … more →
254A, Lecture 12: Weakly mixing systems
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wrote 5 years ago: In the previous lecture, we studied the recurrence properties of compact systems, which are systems … more →
254A, Lecture 7: Structural theory of topological dynamical systems
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wrote 5 years ago: In our final lecture on topological dynamics, we discuss a remarkable theorem of Furstenberg that cl … more →
