Skip to Main Content

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.


Sublinear quasiconformality and the large-scale geometry of Heintze groups
HTML articles powered by AMS MathViewer

by Gabriel Pallier
Conform. Geom. Dyn. 24 (2020), 131-163
Published electronically: June 19, 2020


This article analyzes sublinearly quasisymmetric homeomorphisms (generalized quasisymmetric mappings), and draws applications to the sublinear large-scale geometry of negatively curved groups and spaces. It is proven that those homeomorphisms lack analytical properties but preserve a conformal dimension and appropriate function spaces, distinguishing certain (nonsymmetric) Riemannian negatively curved homogeneous spaces, and Fuchsian buildings, up to sublinearly biLipschitz equivalence (generalized quasi-isometry).
Similar Articles
Bibliographic Information
  • Gabriel Pallier
  • Affiliation: Laboratoire de Mathématiques d’Orsay, Université Paris-Sud, CNRS, Université Paris-Saclay, 91405 Orsay, France
  • MR Author ID: 1181101
  • ORCID: 0000-0002-6219-7262
  • Email:,
  • Received by editor(s): May 20, 2019
  • Received by editor(s) in revised form: September 14, 2019, and January 15, 2020
  • Published electronically: June 19, 2020
  • Additional Notes: The author was supported by ANR-15-CE40-0018SRGI and by ERC Starting Grant 713998 GeoMeG
  • © Copyright 2020 American Mathematical Society
  • Journal: Conform. Geom. Dyn. 24 (2020), 131-163
  • MSC (2010): Primary 20F67, 30L10; Secondary 20F69, 53C23, 53C30, 22E25
  • DOI:
  • MathSciNet review: 4127909