TY - JOUR
ID - 41250
TI - Geodesic Flows on the Quotient of the Upper Half Plane over the Hecke Group
JO - Khayyam Journal of Mathematics
JA - KJM
LA - en
SN -
AU - Lamei, Sanaz
AD - Faculty of Mathematical Sciences, University of Guilan, P.O.Box 1914,
Rasht, Iran.
Y1 - 2016
PY - 2016
VL - 2
IS - 2
SP - 168
EP - 176
KW - Hecke group
KW - geodesic flow
KW - arithmetic coding
DO - 10.22034/kjm.2016.41250
N2 - The Hecke group $G_\alpha$ is a family of discrete sub-groups of$PSL(2,\,\mathbb{R})$. The quotient space of the action of$G_\alpha$ on the upper half plane gives a Riemann surface. Thegeodesic flows on this surface are ergodic. Here, by constructinga phase space for the geodesic flows hitting an appropriate crosssection, we find the arithmetic code of these flows and showthat their code space is a topological Markov chain.
UR - https://www.kjm-math.org/article_41250.html
L1 - https://www.kjm-math.org/article_41250_9154e7145e6560769c7f4f7801c2fa99.pdf
ER -