The Circle Problem on Surfaces of Variable Negative Curvature

نویسنده

  • Mark Pollicott
چکیده

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 if N(t) denotes the orbit counting function for a convex co-compact group of isometries then for some constants C, h > 0, N(t) ∼ Ceht, as t→ +∞.

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تاریخ انتشار 1997