Zobrazeno 1 - 3
of 3
pro vyhledávání: '"Bonnafoux, Etienne"'
Autor:
Bonnafoux, Etienne
We prove that the asymptotic number of pairs of saddle connections with length smaller than $L$ with bounded virtual area is quadratic for almost every translation surface with respect to any ergodic $SL(2,\mathbb{R})$-invariant measure. A key tool o
Externí odkaz:
http://arxiv.org/abs/2209.11862
Autor:
Bonnafoux, Etienne, Kany, Manuel, Kattler, Pascal, Matheus, Carlos, Niño, Rogelio, Sedano-Mendoza, Manuel, Valdez, Ferrán, Weitze-Schmithüsen, Gabriela
The variations of Hodge structures of weight one associated to square-tiled surfaces naturally generate interesting subgroups of integral symplectic matrices called Kontsevich--Zorich monodromies. In this paper, we show that arithmetic groups are fre
Externí odkaz:
http://arxiv.org/abs/2206.06595
Autor:
Bonnafoux, Etienne
We prove that the earthquake flow is at most polynomially mixing with a degree bounded by a constant depending only on the topology of the surface. In particular it is not exponentially mixing.
Comment: 10 pages, 1 figure
Comment: 10 pages, 1 figure
Externí odkaz:
http://arxiv.org/abs/2201.03682