Smallest denominators and extreme events
Hot Topics: Interactions between Harmonic Analysis, Homogeneous Dynamics, and Number Theory March 03, 2025 - March 07, 2025
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification
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I will review old and new results, by various authors, on the distribution of smallest denominators of rational numbers in a shrinking interval (as well as higher-dimensional variants) and explore the connection to extreme value laws in homogeneous dynamics, specifically horocycle flows. This lecture is in part based on joint work with Mark Pollicott.
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