Jonathan DeWitt

I moved here.

I earned my PhD under the supervision of Amie Wilkinson and Aaron Brown.

Papers

1. Local Lyapunov spectrum rigidity of nilmanifold automorphisms
   Journal of Modern Dynamics 17 (2021): 65–109. [arXiv] [DOI]
2. Simultaneous linearization of diffeomorphisms of isotropic manifolds
   JEMS 26 (2024) no. 8: 2897–2969. [arXiv] [DOI]
3. Periodic data rigidity of Anosov automorphisms with Jordan blocks
   Ergodic Theory and Dynamical Systems. [arXiv] [DOI]
4. Cocycles measurably conjugate to unipotent over hyperbolic systems
   To appear in Israel Journal of Mathematics. [arXiv]
5. Coexistence of measures with simple Lyapunov spectrum for fiber-bunched cocycles
   (with Daniel Mitsutani) Preprint (2023). [arXiv]
6. Dominated splitting from constant periodic data and global rigidity of Anosov automorphisms
   (with Andrey Gogolev) Geometric and Functional Analysis 34 (2024): 1370-1398. [arXiv] [DOI]
7. Anosov diffeomorphisms of open surfaces
   (with Snir Ben Ovadia) Geometriae Dedicata (2025). [arXiv] [DOI]
8. Expanding on average diffeomorphisms of surfaces: exponential mixing
   (with Dmitry Dolgopyat) (2024). [arXiv]
9. On equivalence of quenched and annealed statistical properties for conservative IID random dynamical systems
   (with Dmitry Dolgopyat) (2025). [arXiv]
10. Conservative coexpanding on average diffeomorphisms
    (with Dmitry Dolgopyat) (2025). [arXiv]
11. Effective gaps between singular values of non-stationary matrix products
    (with Sam Bednarski and Anthony Quas) (2025). [arXiv]

During the summers of 2017 through 2020, along with N. Mayer, L. Mazurowski, and M. Neaton, I organized a math subject GRE preparation session for participants in the UChicago REU.