Some dimension results on iterated sumsets

Fractal Geometry and Dynamics

01 November 14:00 - 14:50

Douglas Howroyd - University of St Andrews

Sumsets have been studied for many years in several different contexts, in particular the dimension of sumsets has often been considered. Thanks to the recent inverse theorem of Hochman we can study the limiting behaviour of the upper box and Assouad dimensions of iterated sumsets, with self-similar sets providing particularly nice examples. This is joint work with Jonathan Fraser and Han Yu.
Kenneth 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


Maarit Järvenpää


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