CRM: Centro De Giorgi
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Seminari di Sistemi Dinamici 2022

Counting closed geodesics under intersection constraints

speaker: Yann Chaubet (Université Paris-Saclay)

abstract: On a closed negatively curved surface, Margulis gave the asymptotic growth of the number of closed geodesics of bounded length, when the bound goes to infinity. In this talk, I will present a similar asymptotic result for closed geodesics for which certain intersection numbers — with a given family of pairwise disjoint simple closed geodesics — are prescribed. This result is obtained by considering the transfer operator of a dynamical scattering map related to the surface (with boundary) obtained by cutting our original surface along the simple curves.

Thu 21 Apr, 14:00 - 15:00, Sala Conferenze Centro De Giorgi
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