Jonathan DeWitt

activity

20142023

most citedDimensional lower bounds for Falconer type incidence and point configuration theorems

3 citations · 4 across the 8 of their papers we have counts for

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5 papers · 1 filter

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.DS2023★ 1 cited

Cocycles measurably conjugate to unipotent over hyperbolic systems

Jonathan DeWitt

We show that if a Hölder continuous linear cocycle over a hyperbolic system is measurably conjugate to a cocycle taking values in a unipotent group, then the cocycle is Hölder cont…

math.DS2022

Periodic data rigidity of Anosov automorphisms with Jordan blocks

Jonathan DeWitt

Anosov automorphisms with Jordan blocks are not periodic data rigid. We introduce a refinement of the periodic data and show that this refined periodic data characterizes $C^{1 +}$ …

math.DS2020

Simultaneous Linearization of Diffeomorphisms of Isotropic Manifolds

Jonathan DeWitt

Suppose that $M$ is a closed isotropic Riemannian manifold and that $R_{1}, ..., R_{m}$ generate the isometry group of $M$ . Let $f_{1}, ..., f_{m}$ be smooth perturbations of these isometries.…

math.DS2019

Local Lyapunov Spectrum Rigidity of Nilmanifold Automorphisms

Jonathan DeWitt

We study the regularity of a conjugacy between an Anosov automorphism $L$ of a nilmanifold $N /Γ$ and a volume-preserving, $C^{1}$ -small perturbation $f$ . We say that $L$ is locally L…