Index
Research
Simulations
Preprints
Papers
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).
Homotopic rotation sets for higher genus surfaces , with Emmanuel Militon (Nice), to appear in Memoirs of the AMS.
Historic behaviour vs. physical measures for irrational flows with multiple stopping points , with Martin Anderson (UFF), Advances in Mathematics , 709 A, 71 p. (2022). A talk about this paper.
Dirac physical measures on saddle-type fixed points , in collaboration with Pablo Guarino and Bruno Santiago , Journal of Dynamics and Differential Equations , 34, pages 983–1048 (2022).
Dynamical behavior of a nondiffusive scheme for the advection equation , in collaboration with Nina Aguillon , Confluentes Matematici 12 (2020) no. 1, 3--29. .
Stability of the rotation set of area-preserving toral homeomorphisms , with Andres Koropecki ,Nonlinearity 30 (2017), no. 3, 1089--1096.
On the genericity of the shadowing property for conservative homeomorphisms , with Thibault Lefeuvre ,Proceedings of the AMS 146 (2018), no. 10, 4225--4237.
A Minkowski theorem for Meyer sets , with Emilien Joly , Discrete & Computational Geometry 58 (2017), iss. 3, 596-613.
Model sets, almost periodic patterns, uniform density and linear maps , Revista Matemática Iberoamericana 34 (2018), no. 1, 455-474.
Degree of recurrence of generic diffeomorphisms Discrete Analysis (2019).
Physical measures of discretizations of generic diffeomorphisms , Ergodic Theory and Dynamical Systems 38 (2018), no. 4, 1422-1458.
Discretizations of isometries , Lecture Notes in Computer Science (proceedings of conference DGCI 2016).
How roundoff errors help to compute the rotation set of torus homeomorphisms ,
Topology and its Applications 193 (2015), 116-139.
Dynamical properties of spatial discretizations of a generic homeomorphism ,
Ergodic Theory and Dynamical Systems 35 (2015), no. 5, 1474-1523.
An addendum ,
some simulations
and a poster around this paper.
These last articles are included and improved in the updated version of my thesis (324 pages, about 10Mo).
A short poster deals with some parts of this thesis.
Permanent preprints
Reports