Probability Seminar: Xiong Jin - A Chung-Fuchs Type Theorem for Skew Product Dynamical Systems
| Dates: | 22 October 2025 |
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| Times: | 15:00 - 16:00 |
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| What is it: | Seminar |
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| Organiser: | Department of Mathematics |
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Xiong Jin (University of Manchester) will speak at the Probability seminar.
Title: A Chung-Fuchs Type Theorem for Skew Product Dynamical Systems
Abstract: I will present a Chung-Fuchs type theorem for skew product dynamical systems such that for a measurable function on such a system, if its Birkhoff average converges to zero almost surely, and on typical fibres its Birkhoff sums have a non-trivial independent structure, then its associated generalised random walk oscillates, that is the supremum of the random walk equals to +infinity and the infimum equals to -infinity. I will also present some application of this theorem to Mandelbrot cascades acting on ergodic measures.
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Frank Adams 2
Alan Turing Building
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