School of Mathematics Colloquium

Weyl's equidistribution criterion

by Dr. Siddhartha Bhattacharya (TIFR)

Thursday, July 1, 2010 from to (Asia/Kolkata)
at Colaba Campus ( AG-69 )
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]
Organised by Aravindakshan T
PODCAST click here to start