Open AccessThe gap distribution of directions in some Schottky groups
Author(s) -
Xin Zhang
Publication year - 2017
Publication title -
journal of modern dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.668
H-Index - 25
eISSN - 1930-532X
pISSN - 1930-5311
DOI - 10.3934/jmd.2017019
Subject(s) - mathematics , limiting , schottky diode , distribution (mathematics) , group (periodic table) , feature (linguistics) , spectral gap , pure mathematics , mathematical analysis , topology (electrical circuits) , combinatorics , quantum mechanics , physics , mechanical engineering , linguistics , philosophy , engineering , diode
We prove the existence and some properties of the limiting gap distribution functions for the directions of orbits of some infinite covolume subgroups of $Isom(\mathbb{H}^2)$ in the Poincar\'e disk.
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