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

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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.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…