Pollicott, Mark and Vytnova, Polina (2017) Critical points for the Hausdorff Dimension of pairs of pants. Groups, Geometry and Dynamics, 11 (4). pp. 1497-1519. doi:10.4171/GGD/436 ISSN 1661-7207.

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Abstract

We study the dependence of the Hausdoroff dimension of the limit set of a hyperbolic Fuchsian group on the geometry of the associated Riemann surface. In particular, we study the type and location of extrema subject to restriction on the total length of the boundary geodesics. In addition, we compare different algorithms used for numerical computations.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science, Engineering and Medicine > Science > Mathematics
Library of Congress Subject Headings (LCSH):	Fuchsian groups, Riemann surfaces, Hyperbolic groups
Journal or Publication Title:	Groups, Geometry and Dynamics
Publisher:	European Mathematical Society Publishing House
ISSN:	1661-7207
Official Date:	7 December 2017
Dates:	Date Event 7 December 2017 Published 26 January 2017 Accepted
Volume:	11
Number:	4
Page Range:	pp. 1497-1519
DOI:	10.4171/GGD/436
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Open Access (Creative Commons)
Date of first compliant deposit:	23 April 2018
Date of first compliant Open Access:	23 April 2018
RIOXX Funder/Project Grant:	Project/Grant ID RIOXX Funder Name Funder ID 346300 for IMPAN Simons Foundation http://dx.doi.org/10.13039/100000893 UNSPECIFIED Ministerstwo Nauki i Szkolnictwa Wyższego http://dx.doi.org/10.13039/501100004569 EP/M001903/1 [EPSRC] Engineering and Physical Sciences Research Council http://dx.doi.org/10.13039/501100000266 UNSPECIFIED Leverhulme Trust http://dx.doi.org/10.13039/501100000275

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