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Probability and Dynamical Systems Seminar
Probability and Dynamical Systems Seminar
Discrepancy of polynomial sequences
Discrepancy of polynomial sequences
Organizers
Speaker
Sohail Farhangi
Time
Tuesday, April 21, 2026 3:15 PM - 4:15 PM
Venue
A3-3-301
Online
Zoom 482 240 1589
(BIMSA)
Abstract
We will determine the discrepancy of sequences of the form $\{n^k\alpha\}_{n = 1}^\infty$ in terms of the diophantine properties and continued fraction expansion of $\alpha$. We will then relate this to the discrepancy of orbits of skew product transformations such as $(x,y) \mapsto (x+\alpha,y+x)$.