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Aix-Marseille Université
Institut de Mathématiques de Marseille (I2M) - UMR 7373
Site Saint-Charles : 3 place Victor Hugo, Case 19, 13331 Marseille Cedex 3
Site Luminy : Campus de Luminy - Case 907 - 13288 Marseille Cedex 9

Séminaire

Combinatorial and probabilistic properties of systems of numeration

Peter J. Grabner
Technische Universität Graz
https://www.math.tugraz.at/~grabner/

Date(s) : 14/04/2015   iCal
11h40 - 12h20

Let G=(G_n)_n be a strictly increasing sequence of positive integers with G_0=1. We study the system of numeration defined by this sequence by looking at the corresponding compactification K_G of ℕ and the extension of the addition-by-one map τ on K_G (the « odometer »). We give sufficient conditions for the existence and uniqueness of τ-invariant measures on K_G in terms of combinatorial properties of G.

https://hal.archives-ouvertes.fr/hal-01487856/

 

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