Expansions in Non-integer Bases and Fractal Phenomena

Date: 
Tuesday, 17 December, 2024 - 10:00 - 11:00
Venue: 
LSB 222
Seminar Type: 
Analysis Seminar
Speaker Name: 
Prof. Vilmos KOMORNIK
Affiliation: 
University of Strasbourg
Abstract: 

Expansions in non-integer bases have many connections to combinatorics, symbolic dynamics, probability, ergodic theory, measure theory and topology. We present some unexpected topological and fractal phenomena related to such expansions. The talk is based on joint research with P. Erdős, I. Joó, P. Loreti, A. Pethő, M. de Vries, D. Kong and W. Li.