Seminar

Absolute continuity of non-homogeneous self-similar measures

Fractal Geometry and Dynamics

31 October 15:00 - 15:50

Boris Solomyak - Bar-Ilan University

In a joint work with P. Shmerkin and S. Saglietti, we prove that self-similar measures on the real line are absolutely continuous for almost all parameters in the super-critical region, in particular confirming a conjecture of S.-M. Ngai and Y. Wang. While recently there has been much progress in understanding absolute continuity for homogeneous self-similar measures, this is the first improvement over the classical transversality method in the general (non-homogeneous) case.
Organizers
Kenneth J. Falconer
University of St Andrews
Maarit Järvenpää
University of Oulu
Antti Kupiainen
University of Helsinki
Francois Ledrappier
University of Notre Dame
Pertti Mattila
University of Helsinki

Program
Contact

Maarit Järvenpää

maarit.jarvenpaa@oulu.fi

Other
information

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