Singularity versus exact overlaps for self-similar measures

Prelegent(ci)

Adam Śpiewak

Afiliacja

Uniwersytet Warszawski

Termin

15 grudnia 2017 10:15

Pokój

p. 5840

Seminarium

Seminarium Zakładu Układów Dynamicznych

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I will present a recent preprint by Károly Simon and Lajos Vágó entitled "Singularity versus exact overlaps for self-similar measures". The main goal of the paper is to give a negative answer to the following question: is it true for a self-similiar measure on the real line having similarity dimension greater than one, that it is singular only if there is exact overlap. Counterexamples are found in the family of projections of the standard self-similar measure on the Sierpiński carpet. The proof is not constructive.
 

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