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The goal of this workshop is to bring together researchers interested in interactions between numeration systems, ergodic theory, number theory and combinatorics.

Conference Topics

General numeration systems Geometric representations, Rauzy fractals, tilings Representations of operations in Pisot base by finite automata Sofic systems associated with Pisot numbers Redundant representations and cryptography Shift-radix systems Abstract number systems Beta-integers and their combinatorial properties Spectra and spectral measures associated with numeration Sums of digits for classical and non-classical numerations, associated fractals Analytic and probabilistic study of arithmetic functions related to numeration Combinatorics on words and Diophantine approximation Algebraic and transcendental numbers linked with beta-numeration