Tristan Humbert

activity

20242026

most citedKatok's entropy conjecture near real and complex hyperbolic metrics

1 citations · 1 across the 4 of their papers we have counts for

collaborators

5 papers

math.DS2026

Local unmarked length spectrum rigidity for hyperbolic surfaces

Tristan Humbert

Let $(M, g)$ be a closed negatively curved surface. If $g$ is strictly $\frac{1}{9}$ -pinched and has the same unmarked length spectrum as a hyperbolic metric, we show that $g$ is hype…

math.DG2026

Boundary Rigidity in a fixed conformal class for Asymptotically Hyperbolic Manifolds

Tristan Humbert, Sebastián Muñoz-Thon

Given two conformal asymptotically hyperbolic metrics which are either both simple or both negatively curved, we show that if their (marked) renormalized boundary distances coincid…

math.DS2025

Unstable entropy for Anosov diffeomorphisms on the 3-torus

Tristan Humbert

For Anosov diffeomorphisms on the $3$ -torus which are strongly partially hyperbolic with expanding center, we construct systems of strong unstable and center stable Margulis measur…

math.DS2025

Measure of maximal entropy for minimal Anosov actions

Tristan Humbert

For a minimal Anosov $R^{κ}$ -action on a closed manifold, we study the measure of maximal entropy constructed by Carrasco and Rodriguez-Hertz in \cite{CarHer} and show that i…

math.DS2024★ 1 cited

Katok's entropy conjecture near real and complex hyperbolic metrics

Tristan Humbert

We show that, given a real or complex hyperbolic metric $g_{0}$ on a closed manifold $M$ of dimension $n \geq 3$ , there exists a neighborhood $U$ of $g_{0}$ in the space of neg…