Research

Publications

•  Publications available on the ArXiV
•  Referenced publications on Mathscinet
•  Referenced publications on Zentrallblatt

Surveys and books

With Thomas Gauthier (2022): The arithmetic of dynamical polynomial pairs published in the Annals of Math. studies series (2022).

Berkovich spaces and applications (eds. A. Ducros, C. Favre and J. Nicaise) Lect. Notes in Math. (Springer Verlag), 2015.

My habilitation thesis (dec. 2005): Arbres réels et espaces de valuations

With Mattias Jonsson (2004): The valuative tree published in the Lecture Notes in Math series (Springer Verlag).

A survey: Equidistribution problems in holomorphic dynamics . Notes from a series of lectures for the semester "dynamical systems" held at the center Ennio di Giorgi in Pisa (Italie) in 2003. Published in the proceedings of this semester by the editions of the scuola normale superiore di Pisa.

My Phd thesis (jan. 2000): Dynamique des applications rationnelles

Recorded talks

Pseudo-automorphisms vs automorphisms (BIRS 2023). A reference to Gabriel Vigny is missing: he proved that a generic birational map of the projective space has integral dynamical degrees in 2012.

Topological entropy of rational maps (over any metrized field) (MSRI 2022)

Dynamical degrees (MSRI 2022)

Hybrid spaces and dynamics (HSE 2018)

Explosion of Lyapunov exponents (CIRM 2017)

Application to complex dynamics of the equidistribution of points of small heights. Journées arithmetiques (Grenoble 2013)

Uniform Izumi's theorem. (MSRI 2013)

Talk notes

Introduction to holomorphic dynamics Part 1, Part 2, Part 3 (Salt Lake City, april 2023),

Algebraic and arithmetic dynamics of polynomial maps : Part 1, Part 2, Part 3 (Gargnano, avril 2015)

Four lectures on the volume function on the Neron-Severi space of a projective variety (Rennes, juin 2014)

Equidistribution of hyperbolic centers using Arakelov geometry (Journées arithmétiques, Grenoble, juin 2013)

Sur un théorème de Minkowski et quelques-uns de ses avatars (Colloquium, Lille, janvier 2012)

Non-archimedean Montel's theorem (Jackfest, Banff, février 2011)

Lectures on the Cremona group (winter school in complex analysis, Luminy janvier 2011)

Sous-groupes de type fini du groupe de Cremona (séminaire Bourbaki de novembre 2008).

Degree growth of polynomial maps of C²; (avril 2008, Barcelona): exposé; 1, exposé; 2, exposé; 3, exposé; 4 et références

Compactification des applications polynomiales de C² (séminaire de dynamique de l'IMJ, février 2008)

Potential theory on trees and applications (août 2005, San Pedro de Atacama)

Thèse d'habilitation (décembre 2005)

Dynamics on valuation space: Part 1, Part 2 (décembre 2005, Sevilla)

Espace des paramètres des polynomes cubiques, (Rennes 2005)