Dimension and measures for a curvilinear Sierpiński gasket or Apollonian packing
type: Item
instance of: scholarly article
title: Dimension and measures for a curvilinear Sierpiński gasket or Apollonian packing
zbMATH Open document ID: 0934.28002
author: R. Daniel Mauldin
author: Mariusz Urbański
published in: Advances in Mathematics
publication date: 1998-11-29T00:00:00Z
Mathematics Subject Classification ID: 28A80
Mathematics Subject Classification ID: 28A78
Mathematics Subject Classification ID: 37F35
Mathematics Subject Classification ID: 30C20
zbMATH DE Number: 1215522
zbMATH Keywords: invariant ergodic measure
zbMATH Keywords: conformal measure
zbMATH Keywords: IFS
zbMATH Keywords: conformal iterated function systems
zbMATH Keywords: Apollonian packing
zbMATH Keywords: curvilinear Sierpiński gasket
zbMATH Keywords: Hausdorff dimension
zbMATH Keywords: packing dimension
zbMATH Keywords: box counting dimensions
MaRDI profile type: Publication
full work available at URL: aima.1998.1732
OpenAlex ID: W2077846736
cites work: The residual set dimension of the Apollonian packing
cites work: Continua of Finite Linear Measure I
cites work: Q3714302
cites work: On the Besicovitch Dimension of the Residual Set of Arbitrarily Packed Disks in the Plane
cites work: Q4328334
cites work: Q4028232
cites work: Dimensions and Measures in Infinite Iterated Function Systems
cites work: Conformal iterated function systems with applications to the geometry of continued fractions
cites work: Parabolic iterated function systems
cites work: Entropy, Hausdorff measures old and new, and limit sets of geometrically finite Kleinian groups
cites work: A new proof for the residual set dimension of the apollonian packing
cites work: Packing Measure, and its Evaluation for a Brownian Path
cites work: Q3931654
DOI: 10.1006/AIMA.1998.1732
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description: scientific article; zbMATH DE number 1215522