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University of California, Irvine
What is MGSC?
What is MGSC?
Welcome to the UCI Mathematics Graduate Student Colloquium (MGSC) website! The MGSC is a graduate student-run series of talks for the UCI mathematics graduate student community. To learn more about the philosophy and history of the MGSC, check out the about page. Scheduled speakers may want to pay particular attention to that page as they develop the flavor and content of their talks.
Welcome to the UCI Mathematics Graduate Student Colloquium (MGSC) website! The MGSC is a graduate student-run series of talks for the UCI mathematics graduate student community. To learn more about the philosophy and history of the MGSC, check out the about page. Scheduled speakers may want to pay particular attention to that page as they develop the flavor and content of their talks.
Next Talk
Next Talk
Central Limit Theorem for Products of Random Matrices
Central Limit Theorem for Products of Random Matrices
Grisha Monakov
Grisha Monakov
April 23rd, 2026 (Thursday) at 3pm - RH 340P
Abstract
If you flip a coin or roll a die a thousand times, write down the results, and compare them with those of your friends (who also had nothing better to do), you will most likely see that, after proper normalization, they follow the normal distribution. This phenomenon was first observed in the eighteenth century and has since appeared in many different areas of mathematics.
In this talk, I will discuss what a Central Limit Theorem looks like for products of random matrices, and why it is connected to measure regularity and random dynamical systems. I will cover some classical results as well as some recent ones, and try to give a bit of intuition for what is going on.
About the Speaker
Grisha is a 5th-year graduate student working with Anton Gorodetski on random dynamics and its applications, mostly in spectral theory. Aside from math, he likes mountains, rock climbing, and Nutella.
Organizers / Contacts
Organizers / Contacts
Jongwon D. Kim ( jongwodk AT uci DOT edu )
Aranya Sen (aranyas1 AT uci DOT edu)
Clara Park (yunkyup AT uci DOT edu)
何でもは知らないわよ。知ってることだけ。
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