Pierre-Antoine Guihéneuf

I am maître de conférences at IMJ-PRG, Sorbonne Université (ex Pierre et Marie Curie, Paris 6), in the Analyse Algébrique team.

I am member of the SMF board (French mathematical society) in charge of outreach activities.

In 2015-2016, I had a post doctoral position at UFF Niteroi (near Rio de Janeiro).

Between 2011 and 2015, I was PhD student in Orsay under the direction of François Beguin. Here is an updated version of my thesis (the initial version can be found on TEL).

I am interested in (among others) discretizations of dynamical systems, 2 dimensional topological dynamics and wild examples in ergodic theory. For more information here is a resume (June 2023).

You can write me in English, French, Portuguese or Spanish.

News

I organise the conference Surfaces in Banyuls .

Three publications:

• A study of the midterm action of discretisations on measures for circle expanding maps, in collaboration with Maurizio Monge (UFRJ, Rio de Janeiro) : theoretical study, to appear in Nonlinearity, and simulations, to appear in Dynamical Systems : An International Journal (these two papers can be read independently).
• A Homotopic rotation sets for higher genus surfaces, with Emmanuel Militon (Nice), to appear in Memoirs in the AMS.

• A structure theorem for ergodic rotatino sets of homeomorphisms of closed hyperbolic surfaces, implying a structure theorem for zero entropy dynamics, with Alejo Garcia and Pablo Lessa.
• The beginning of a classification of the action of homeomorphisms of closed hyperbolic surfaces on the fine curve graph (characterization of hyperbolics), with Emmanuel Militon.
• A complete classification of the action of torus homeomorphisms on the fine curve graph, with Emmanuel Militon.
• A proof of the fact that any area preserving torus homeomorphism whose Lebesgue homological rotation number is in a rational direction has an infinite number of periodic points, with Patrice Le Calvez and Alejandro Passeggi.

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