Pollicott, Mark (2021) The Schottky–Klein prime function and counting functions for Fenchel double crosses. Monatshefte fur Mathematik, 195 (2). pp. 323-342. doi:10.1007/s00605-021-01547-3 ISSN 0026-9255.

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Abstract

We relate the classical nineteenth century Schottky–Klein function in complex analysis to a counting problem for pairs of geodesics in hyperbolic geometry studied by Fenchel. We then solve the counting problem using ideas from ergodic theory and thermodynamic formalism.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science, Engineering and Medicine > Science > Mathematics
SWORD Depositor:	Library Publications Router
Library of Congress Subject Headings (LCSH):	Kleinian groups , Riemann surfaces , Ergodic theory , Dynamics , Functions of complex variables
Journal or Publication Title:	Monatshefte fur Mathematik
Publisher:	Springer Vienna
ISSN:	0026-9255
Official Date:	June 2021
Dates:	Date Event June 2021 Published 15 April 2021 Available 25 March 2021 Accepted
Volume:	195
Number:	2
Page Range:	pp. 323-342
DOI:	10.1007/s00605-021-01547-3
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Open Access (Creative Commons)
Date of first compliant deposit:	25 April 2022
Date of first compliant Open Access:	25 April 2022
RIOXX Funder/Project Grant:	Project/Grant ID RIOXX Funder Name Funder ID 833802 Horizon 2020 Framework Programme http://dx.doi.org/10.13039/100010661

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