3 citations · 4 across the 8 of their papers we have counts for
11 papers
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 over an invertible hyperbolic transitive shift satisfies an appropriate strong irreducibility condition…
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…
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 …
Simultaneous Linearization of Diffeomorphisms of Isotropic Manifolds
Jonathan DeWitt
Suppose that is a closed isotropic Riemannian manifold and that generate the isometry group of . Let be smooth perturbations of these isometries.…
Local Lyapunov Spectrum Rigidity of Nilmanifold Automorphisms
Jonathan DeWitt
We study the regularity of a conjugacy between an Anosov automorphism of a nilmanifold and a volume-preserving, -small perturbation . We say that is locally L…
Induced Good Gradings of Structural Matrix Rings
John Dewitt, Kenneth L. Price
Our approach to structural matrix rings defines them over preordered directed graphs. A grading of a structural matrix ring is called a good grading if its standard unit matrices a…
Dimensional lower bounds for Falconer type incidence and point configuration theorems
Jonathan DeWitt, Kevin Ford, Eli Goldstein +4
Let and consider a subset . In this paper, we study the problem of how large the Hausdorff dimension of must be in order for the set of…
Random Matrix Ensembles with Split Limiting Behavior
Paula Burkhardt, Peter Cohen, Jonathan Dewitt +6
We introduce a new family of random real symmetric matrix ensembles, the -checkerboard matrices, whose limiting spectral measure has two components which can be dete…
One-Level density for holomorphic cusp forms of arbitrary level
Owen Barrett, Paula Burkhardt, Jonathan DeWitt +2
In 2000 Iwaniec, Luo, and Sarnak proved for certain families of -functions associated to holomorphic newforms of square-free level that, under the Generalized Riemann Hypothesis…
Best and worst case permutations for random online domination of the path
Christopher Coscia, Jonathan DeWitt, Fan Yang +1
We study a randomized algorithm for graph domination, by which, according to a uniformly chosen permutation, vertices are revealed and added to the dominating set if not already do…
Locally Convex Words and Permutations
Christopher Coscia, Jonathan DeWitt
We introduce some new classes of words and permutations characterized by the second difference condition , which we call the -convexity condition…