Forbidden areas for simple closed geodesics on orientable surfaces.

Orateur

BUSER, Peter

Résumé

By a result of Birman and Series the union set B of all simple closed geodesics on a compact Riemann surface is nowhere dense. Computer generated images show that the complement of this set consists of extremely small cells. In joint work with Hugo Parlier we quantify the Birman Series result by giving estimates of the size of these cells.