Luca Marchese

Maître de conférences, Laboratoire Analyse, Géométrie et Applications (LAGA), Université Paris 13.

Address: 99 avenue Jean-Baptiste Clèment, 93430 Villetaneuse (FRANCE)

E-mail: marchese (at)

Research: interval exchange transformations, rational billiards, dynamics in moduli spaces, diophantine approximation.

My papers on Arxiv:

9) L. Marchese, L. Palmisano: "Full families of generalized interval exchange transformations". Paper

8) M. Artigiani, L. Marchese, C. Ulcigrai: "Persistent Hall rays for Lagrange spectra at cusps of Riemann surfaces". Paper

7) D. H. Kim, L. Marchese, S. Marmi: "Long hitting time for translation flows and L-shaped billiards". Paper

6) P. Hubert, S. Lelièvre, L. Marchese, C. Ulcigrai: "The Lagrange spectrum of some square-tiled surfaces". To appear in Israel Journal of Mathematics. Paper

5) L. Marchese, R. Treviño, S. Weil: "Diophantine approximations for translation surfaces and planar resonant sets". To appear in Commentarii Mathematici Helvetici. Paper

4) M. Artigiani, L. Marchese, C. Ulcigrai: "The Lagrange spectrum of a Veech surface has a Hall ray". Geometry, Groups and Dynamics, Volume 10, Issue 4, 2016, 1287-1337. Paper

3) P. Hubert, L. Marchese, C. Ulcigrai: "Lagrange spectra in Teichmüller dynamics via renormalization". Geom. Funct. Anal. 25 (2015), no.1, 180-255. Paper

2) L. Marchese: "Khinchin type condition for translation surfaces and asymptotic laws for the Teichmüller flow". Bull. Soc. Math. France, 140, fascicule 4, 2012, 485-532. Paper

1) L. Marchese: "The Khinchin theorem for interval exchange transformations". J. Mod. Dyn., Volume 5, No.1, 2011, 123-183. Paper