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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