On equality of Hausdorff and affinity dimensions, via self-affine measures on positive subsystems

Ian D. Morris, Pablo Shmerkin

Type: Article

Publication Date: 2017-08-01

Citations: 24

DOI: https://doi.org/10.1090/tran/7334

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Locations

arXiv (Cornell University) - View - PDF
Surrey Open Research repository (University of Surrey) - View - PDF
Transactions of the American Mathematical Society - View

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+ PDF Chat	On the dimensions of a family of overlapping self-affine carpets	2015	Jonathan M. Fraser Pablo Shmerkin
+	The dimension of self-affine fractals II	1992	K. J. Falconer
+ PDF Chat	The Hausdorff dimension of the projections of self-affine carpets	2010	Andrew Ferguson Thomas Jordan Pablo Shmerkin
+	Falconer's formula for the Hausdorff dimension of a self-affine set in R<sup>2</sup>	1995	Irene Hueter Steven P. Lalley
+ PDF Chat	Separation properties for self-similar sets	1994	Andreas Schief
+ PDF Chat	Multifractal analysis of Birkhoff averages for typical infinitely generated self-affine sets	2014	Antti Käenmäki Henry W. J. Reeve
+	Products of Random Matrices with Applications to Schrödinger Operators	1985	Philippe Bougerol Jean Lacroix
+ PDF Chat	On the packing dimension of box-like self-affine sets in the plane	2012	Jonathan M. Fraser
+ PDF Chat	Absolute continuity of self-similar measures, their projections and convolutions	2015	Pablo Shmerkin Boris Solomyak
+	Hausdorff Dimension for Randomly Perturbed Self Affine Attractors	2006	Thomas Jordan Mark Pollicott Károly Simon