Vincent Delecroix

Presentation

I'm a postdoc in University Paris VII since 2011. I defend my thesis on the 16th November 2011 (see the pdf beamer presentation (in french)). My report is available in pdf format.

Publications and prepublications

• (joint with P. Hubert and S. Lelièvre)
  Diffusion for the periodic wind-tree model (arxiv 1107.1810)
• Divergent directions in some periodic wind-tree models (arxiv 1107.2418)
• Cardinality of Rauzy classes (arxiv 1106.0807)
• (joint with C. Matheus)
  Un contre-exemple à la réciproque du critère de Forni pour la positivité des exposants de Lyapunov du cocycle de Kontsevich-Zorich (arxiv 1103.1560)

Programmaing and computer experimentations

Flat surfaces in Sage

I'm involved in the dynamics project in Sage. The aim is to provide a common place for dynamists and programmers for computer simulation and experimentation. I'm the author of several part about translation surfaces (see flat surfaces in Sage).

You can download this Sage worksheet to see how it works or download this PDF worksheet in pdf for an overview.

In particular,this library provide tools for computing spectra of pseudo-Anosov diffeomorphisms that fixes a spearatrix.

• In H_hyp(2)
  • The Rauzy diagram
  • spectra
• In H_hyp(1,1)
  • Rauzy diagram
  • spectra

The wind-tree model

To draw pictures of orbits in the wind-tree model, I wrote a Python script. It was used in the illustration of some articles. Here is a sample of what can be drawn: