A family of exceptional parameters for non-uniform self-similar measures

Jörg Neunhäuserer (TU Clausthal / TFH Berlin)

Abstract


We present plane algebraic curves that have segments of points for which non uniform self-similar measures get singular. We calculate appropriate points on the curves using Mathematica. These points are in the parameter domain where we generically have absolute continuity of the measures,

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Pages: 192-199

Publication Date: April 12, 2011

DOI: 10.1214/ECP.v16-1618

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