ISSN:
1436-5081
Keywords:
58F
;
Orbit counting
;
negative curvature
;
Poincaré series
;
thermodynamic formalism
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract In this note we study the problem of orbit counting for certain groups of isometries of simply connected surfaces with possibly variable negative curvature. We show that ifN(t) denotes the orbit counting function for a convex co-compact group of isometries then for some constantsC, h〉0,N(t) ∼Ce ht , ast →+∞.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01316937
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