School of Mathematics Colloquium

Weyl's equidistribution criterion

by Dr Siddhartha Bhattacharya (TIFR)

Asia/Kolkata
AG-69 (Colaba Campus)

AG-69

Colaba Campus

Description
A sequence $\{x_1, x_2, \ldots \}$ of real numbers in [0,1] is said to be equidistributed if \lim_{n\mapsto \infty} |\{x_1, \ldots, x_n\} \cap [a,b]|/n = b-a$ for all $[a,b] \subset [0,1]$. In this talk, we will prove a result due to Hermann Weyl on equidistributed sequences, and discuss some applications. [This colloquium talk is meant for the VSRP students of School of Mathematics]