Uniform Distribution and Randomness for Binary Sequences

JACK PIAZZA

Throughout the last century, mathematicians have proposed several definitions for what makes an infinite sequence of binary bits random. Some classical definitions have become standard, but other newer ones which are based on structures in different areas of mathematics are constantly being created. This project develops the relationship between classical notions of randomness and a new number theoretic definition due to Avigad which is based on the distribution of sequences of real numbers.

Major: 
Mathematics
Exhibition Category: 
Physical Sciences
Exhibition Format: 
Poster Presentation
Campus: 
University Park
Faculty Sponsor: 
Jan Reimann
Poster Number: 
16988