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On the dimension of triangular self-affine sets

Published online by Cambridge University Press:  28 November 2017

BALÁZS BÁRÁNY ,
MICHAŁ RAMS  and
KÁROLY SIMON
BALÁZS BÁRÁNY
Affiliation:
Budapest University of Technology and Economics, MTA-BME Stochastics Research Group, P.O. Box 91, 1521 Budapest, Hungary email [email protected]
MICHAŁ RAMS
Affiliation:
Institute of Mathematics, Polish Academy of Sciences, ul. Śniadeckich 8, 00-656 Warszawa, Poland email [email protected]
KÁROLY SIMON
Affiliation:
Budapest University of Technology and Economics, Department of Stochastics, Institute of Mathematics, 1521 Budapest, P.O. Box 91, Hungary email [email protected]
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Abstract

As a continuation of a recent work [Bárány et al, On the dimension of self-affine sets and measures with overlaps. Proc. Amer. Math. Soc.144 (2016) 4427–4440] of the same authors, in this note we study the dimension theory of diagonally homogeneous triangular planar self-affine iterated function systems.

Type
Original Article
Information
Ergodic Theory and Dynamical Systems , Volume 39 , Issue 7 , July 2019 , pp. 1751 - 1783
Copyright
© Cambridge University Press, 2017 

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