- Series
- CDSNS Colloquium
- Time
- Friday, September 19, 2025 - 3:00pm for 1 hour (actually 50 minutes)
- Location
- Skiles 311
- Speaker
- Grigorii Monakov – UC Irvine – gmonakov@uci.edu – https://sites.uci.edu/gmonakov/
- Organizer
- Alex Blumenthal
Please Note: Zoom link: https://gatech.zoom.us/j/91390791493?pwd=QnpaWHNEOHZTVXlZSXFkYTJ0b0Q0UT09
Consider a sequence of independent and identically distributed SL(2, R) matrices. There are several classical results by Le Page, Tutubalin, Benoist, Quint, and others that establish various forms of the central limit theorem for the products of such matrices. I will talk about a recent joint work with Anton Gorodetski and Victor Kleptsyn, where we generalize these results to the non-stationary case. Specifically, we prove that the properly shifted and normalized logarithm of the norm of a product of independent (but not necessarily identically distributed) SL(2, R) matrices converges to the standard normal distribution under natural assumptions. A key component of our proof is the regularity of the distribution of the unstable vector associated with these products.