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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.


Cusp excursions for the earthquake flow on the once-punctured torus
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by Ser-Wei Fu
Conform. Geom. Dyn. 23 (2019), 251-261
Published electronically: November 20, 2019


In this paper we study the typical speed of a generic earthquake trajectory leaving compact sets in the moduli space of the once-punctured torus. Mirzakhani showed that the earthquake flow is measurably equivalent to the horocyclic flow, which has been studied extensively. Our main result shows that the earthquake flow and the horocyclic flow behave very differently in cusp excursions. In particular, we prove a relation between the systole function and continued fractions and discuss the cusp excursions of earthquake trajectories.
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Bibliographic Information
  • Ser-Wei Fu
  • Affiliation: National Center for Theoretical Sciences, No. 1 Sec. 4 Roosevelt Road, National Taiwan University, Taipei, 106, Taiwan
  • MR Author ID: 1084747
  • Email:
  • Received by editor(s): December 21, 2016
  • Received by editor(s) in revised form: March 19, 2019, and September 11, 2019
  • Published electronically: November 20, 2019
  • © Copyright 2019 American Mathematical Society
  • Journal: Conform. Geom. Dyn. 23 (2019), 251-261
  • MSC (2010): Primary 37D40, 53A35
  • DOI:
  • MathSciNet review: 4033067