Increase of entropy under convolution and self-similar sets with overlaps

Abstract. Sets that consist of finitely many smaller-scale copies of itself are known as self-similar. Due to the likely irregularity in their structure, the size of these sets is often measured in the form of dimension. The existence of tools that can be used to calculate this quantity depends grea...

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Bibliographic Details
Main Author: Pyörälä, A. (Aleksi)
Format: Dissertation
Language:English
Published: University of Oulu 2019
Online Access:http://jultika.oulu.fi/Record/nbnfioulu-201904251540