The transfer operator for the Hecke triangle groups (Q432599)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: The transfer operator for the Hecke triangle groups |
scientific article; zbMATH DE number 6053003
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The transfer operator for the Hecke triangle groups |
scientific article; zbMATH DE number 6053003 |
Statements
The transfer operator for the Hecke triangle groups (English)
0 references
4 July 2012
0 references
In this carefully written paper, the first-named author's project (with various co-authors) of studying the transfer operator approach in conjunction with continued fractions is continued here in a setting of (infinitely many) non-arithmetic Fuchsian groups. An interesting twist is that the coding of closed geodesics by periodic points under the continued fraction map is not quite 1-1, causing the Selberg zeta function to be expressed as the quotient of two Fredholm determinants.
0 references
Hecke triangle groups
0 references
\(\lambda_q\)-continued fractions
0 references
transfer operator
0 references
Ruelle and Selberg zeta function
0 references
