Abstract
The critical exponents of conservative Fuchsian groups are bounded from below by 1/2. It is proved in this note that this result is sharp by giving a sequence of conservative Fuchsian groups whose critical exponents converge to 1/2. The proof is carried out by estimating the isoperimetric constants of hyperbolic surfaces associated with the Fuchsian groups.
Citation
Katsuhiko Matsuzaki. "Isoperimetric constants for conservative Fuchsian groups." Kodai Math. J. 28 (2) 292 - 300, June 2005. https://doi.org/10.2996/kmj/1123767010
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