Dynamical properties of minimal Ferenczi subshifts

Felipe Arbulú
LAMFA, Univ. Picardie

Date(s) : 10/01/2023   iCal
11 h 00 min - 12 h 00 min

Rank-one systems are a class of dynamical systems arising in the late 60’s and form a rich class of examples and counter-examples in ergodic theory. Notably, the Chacon map was the first known example of a weakly mixing transformation which is not mixing. However, a complete classification of their dynamical properties still remains open.

From the topological dynamics viewpoint, we consider symbolic models of rank-one systems, that we decide to call “Ferenczi subshifts”.
In this talk, we provide an explicit S-adic representation of minimal Ferenczi subshifts and we discuss how it can be used to study some dynamical properties of these subshifts.
We will particularly be interested in the computation of the dimension group that characterises strong and weak orbit equivalence and the computation of continuous and measurable eigenvalues.

Site Sud, Luminy, Ancienne BU, Salle Séminaire2 (RdC)


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