2019
Jan
01

# Yotam Smilansky (HUJI), Multiscale substitution schemes and Kakutani sequences of partitions.

2:15pm to 3:15pm

## Location:

Ross 70

Abstract: Substitution schemes provide a classical method for constructing tilings

of Euclidean space. Allowing multiple scales in the scheme, we introduce

a rich family of sequences of tile partitions generated by the substitution

rule, which include the sequence of partitions of the unit interval

considered by Kakutani as a special case. In this talk we will use new path counting

results for directed weighted graphs to show that such sequences

of partitions are uniformly distributed, thus extending Kakutani's