Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Metric and arithmetic properties of mediant-Rosen maps   A continued fractions based verification of the Hurwitz values for the Hecke
triangle groups is given, completing a program of Lehner's. Ergodic theory
shows that Diophantine approximation by mediant convergents of the Rosen
continued fractions is sufficient to determine the values that Haas and Series
found by hyperbolic geometry.

4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org