ISSN:
1436-5081
Schlagwort(e):
58F
;
Orbit counting
;
negative curvature
;
Poincaré series
;
thermodynamic formalism
Quelle:
Springer Online Journal Archives 1860-2000
Thema:
Mathematik
Notizen:
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 →+∞.
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1007/BF01316937
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