Continuity of subadditive pressure for matrix cocycles and the dimension of a self-affine set

The pressure function P(A,s) and singularity dimension s(A) are closely related to the dimension of a typical self affine set. De-Jun Feng and Pablo Shmerkin proved in their article “Non-conformal repellers and continuity of pressure for matrix cocycles” that P(A,s) and s(A) depend continuously on t...

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Bibliographic Details
Main Author: Kormu, J. (Jussi)
Format: Dissertation
Language:English
Published: University of Oulu 2016
Subjects:
Online Access:http://urn.fi/URN:NBN:fi:oulu-201604191516
http://nbn-resolving.de/urn:nbn:fi:oulu-201604191516