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Conformal Geometry and Dynamics

Published by the American Mathematical Society since 1997, the purpose of this electronic-only journal is to provide a forum for mathematical work in related fields broadly described as conformal geometry and dynamics. All articles are freely available to all readers and with no publishing fees for authors.

ISSN 1088-4173

The 2020 MCQ for Conformal Geometry and Dynamics is 0.49.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Topological conformal dimension
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by Claudio A. DiMarco
Conform. Geom. Dyn. 19 (2015), 19-34
Published electronically: January 26, 2015


We investigate a quasisymmetrically invariant counterpart of the topological Hausdorff dimension of a metric space. This invariant, called the topological conformal dimension, gives a lower bound on the topological Hausdorff dimension of quasisymmetric images of the space. We obtain results concerning the behavior of this quantity under products and unions, and compute it for some classical fractals. The range of possible values of the topological conformal dimension is also considered, and we show that this quantity can be fractional.
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Bibliographic Information
  • Claudio A. DiMarco
  • Affiliation: 215 Carnegie, Mathematics Department, Syracuse University, Syracuse, New York 13244-1150
  • Email:
  • Received by editor(s): June 19, 2014
  • Received by editor(s) in revised form: December 5, 2014, and December 29, 2014
  • Published electronically: January 26, 2015
  • © Copyright 2015 American Mathematical Society
  • Journal: Conform. Geom. Dyn. 19 (2015), 19-34
  • MSC (2010): Primary 28A80, 30L10; Secondary 28A78, 54F45
  • DOI:
  • MathSciNet review: 3303179