Institut de recherche mathématique de Rennes

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19952026

most citedBSDE with quadratic growth and unbounded terminal value

241 citations

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math.DS2026

Rigidity of the dynamics of $Aut (F_{n})$ on representations into a compact group

Serge Cantat, Christophe Dupont, Florestan Martin-Baillon

Let $G$ be a compact Lie group. Let $F_{n}$ be the free group of rank $n$ . We describe the orbits of $Aut (F_{n})$ on $Hom (F_{n}; G)$ whe…

math.DS2025

Residual Transitivity implies Minimality for Markoff Surfaces over $p$ -adic Integers, by Means of $p$ -adic Flows

Seung Uk Jang

Let $X_{D}^{*}$ be the non-singuar locus of the Markoff surface $X_{D} : x^{2} + y^{2} + z^{2} = x y z + D$ and consider the set of its $p$ -adic integer points $X_{D}^{*} (Z_{p})$ . It is kno…

math.DS2025

Ergodicity of cocyles over 2-dimensional rotations

Nicolas Chevallier, Jean-Pierre Conze

We study recurrence and ergodicity of cocycles with values in R d , d $\geq$ 1, over rotations by badly approximable irrational numbers on T $ρ$ , $ρ$ \> 1. The discontinuities o…

math.DS2024

Some rigidity results for polynomial automorphisms of C^2

Serge Cantat, Romain Dujardin

We prove several new rigidity results for polynomial automorphisms of $C^{2}$ with positive entropy. A first result is that a complex slice of the (forward or backward) Julia…

math.DS2024

Holomorphically conjugate polynomial automorphisms of C^2 are polynomially conjugate

Serge Cantat, Romain Dujardin

We confirm a conjecture of Friedland and Milnor: if two polynomial automorphisms f and g in Aut(C^2) with dynamical degree >1 are conjugate by some holomorphic diffeomorphism ϕof C…

math.DS2023

Structure of Kähler foliations with negative transverse Ricci curvature

Benoît Claudon, Frédéric Touzet

We investigate the structure of transversely Kähler foliations with quasi-negative tranverse Ricci curvature. In particular, we prove a de Rham type theorem decomposition on the le…

Rigidity of the dynamics of Aut(Fn​) on representations into a compact group