Title: The Complexity of Algebraic Numbers
Speaker: Katie McKeon, Rutgers University
Date: Wednesday, February 25, 2015 12:10pm
Location: Graduate Student Lounge, 7th Floor, Hill Center, Rutgers University, Busch Campus, Piscataway, NJ
Abstract:
The subword complexity of a sequence counts the distinct strings of a given length that are contained within the sequence. We will examine a large class of transcendental numbers through the lens of this complexity function. In particular, we will use the Schmidt Subspace Theorem to prove that the subword complexity of an algebraic number (written as a sequence in some finite integer base) cannot increase too slowly.
Further information can be found at http://math.rutgers.edu/~nhf12/GCS/