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SUMMARY; CHARSET=UTF-8 :NTAG Seminar: A Generalized Levy-Khintchine Theorem
UID:exeter_event_14662
URL:http://www.exeter.ac.uk/events/details/?event=14662
DTSTART;VALUE=DATE:20250319T143000
DTEND;VALUE=DATE:20250319T153000
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ORGANIZER: MAILTO:c.d.lazda@exeter.ac.uk
ATTACH: http://www.exeter.ac.uk/events/details/?event=14662
DTSTAMP:20250224T101141
LOCATION:Harrison Building 106 
DESCRIPTION; CHARSET=UTF-8 :The classical Levy-Khintchine theorem describes the limiting distribution of the denominators of continued fraction convergents of a real number. In a recent breakthrough, Cheung and Chevallier extended this theorem to higher dimensions by considering best approximates of matrices. In this talk, I will present results that further generalize their work by introducing multiple natural notions of best approximates for matrices and proving Levy-Khintchine-type theorems in all these settings. 

Our results not only answer a question posed by Cheung and Chevallier about Levy-Khintchine-type theorems for arbitrary norms but also resolve a conjecture of Yitwah Cheung. Additionally, we extend the results of Cheung and Chevallier by proving their theorems for almost every point with respect to a broad class of measures, including fractal measures, while allowing best approximates to satisfy additional geometric and arithmetic constraints. This work extends recent results of Shapira and Weiss.

http://www.exeter.ac.uk/events/details/?event=14662
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