Daniel Mitsutani

activity

20212025

collaborators

4 papers

math.DS2025

Monotonicity of the Liouville entropy along the Ricci flow on surfaces

Karen Butt, Alena Erchenko, Tristan Humbert +1

We show that the Liouville entropy of the geodesic flow of a closed surface of non-constant negative curvature is eventually strictly increasing along the normalized Ricci flow (NR…

math.DS2024

Symmetries of geodesic flows on covers and rigidity

Daniel Mitsutani

We define and study the foliated centralizer: the group of $C^{\infty}$ centralizer elements of the lift of an Anosov system on a non-compact manifold which additionally preserve the…

math.DS2023

Coexistence of measures with simple Lyapunov spectrum for fiber-bunched cocycles

Daniel Mitsutani, Jonathan DeWitt

We prove that if a Hölder continuous fiber-bunched cocycle $A^$ over an invertible hyperbolic transitive shift $Σ^$ satisfies an appropriate strong irreducibility condition…

math.DS2021

Simplicity of the Lyapunov Spectrum for classes of Anosov flows

Daniel Mitsutani

We prove that in a $C^{1}$ -open and $C^{k}$ -dense set of some classes of $C^{k}$ Anosov flows all Lyapunov exponents have multiplicity 1 with respect to appropriate measures. The classes…