Geodesics on Flat Surfaces

Details Geodesics on Flat Surfaces Geodesics on Flat Surfaces

2006-09-14

arxiv.org/abs/math/0609399v1

Mathematics

Dynamical Systems

(25 pages, 5 figures) Based on the talk at ICM 2006 at Madrid; see Proceedings of the ICM, Madrid, Spain, 2006, EMS, 121-146 f

Scientific paper

This short survey illustrates the ideas of Teichmuller dynamics. As a model
application we consider the asymptotic topology of generic geodesics on a
"flat" surface and count closed geodesics and saddle connections. This survey
is based on the joint papers with A.Eskin and H.Masur and with M.Kontsevich.

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