Research
Publications
Anti-classification results for weakly mixing diffeomorphisms, to appear in Mathematische Annalen.
A Koopman-Takens Theorem: Linear least squares prediction of nonlinear time series (with Petér Koltai), Communications in Mathematical Physics 405, article no. 120 (2024).
Dichotomy results for eventually always hitting time statistics and almost sure growth of extremes (with Mark Holland, Maxim Kirsebom, and Tomas Persson), Transactions of the AMS vol 377, no. 6, 3927-3982 (2024).
On the smooth realization problem and the AbC method, book chapter in A Vision for Dynamics in the 21st Century-the legacy of Anatole Katok, Cambridge University Press, Cambridge, 2024.
On shrinking targets and self-returning points (with Maxim Kirsebom and Tomas Persson), Annali della Scuola Normale Superiore di Pisa, Vol. XXIV: 1499--1535 (2023).
Slow entropy of some combinatorial constructions (with Shilpak Banerjee and Daren Wei), Nonlinearity 36, 2923-2974 (2023).
Slow entropy of some Anosov-Katok diffeomorphisms (with Shilpak Banerjee and Daren Wei), Discrete and Continuous Dynamical Systems A 43, 209-255 (2023).
Slow entropy of higher rank abelian unipotent actions (with Adam Kanigowski, Kurt Vinhage, D. Wei), Journal of Modern Dynamics 18, 575-607 (2022).
Real-analytic realization of Uniform Circular Systems and some applications (with Shilpak Banerjee), Journal d'Analyse Mathématique 148, 399-455 (2022).
Loosely Bernoulli Odometer-Based Systems whose corresponding Circular Systems are not loosely Bernoulli (with Marlies Gerber), Ergodic Theory and Dynamical Systems 42, Issue 3: Anatole Katok Memorial Issue, 917-973 (2022).
Spectral disjointness of powers of diffeomorphisms with arbitrary Liouvillean rotation behavior, Studia Mathematica 259, 271-304 (2021).
Shrinking targets and eventually always hitting points for interval maps (with Maxim Kirsebom and Tomas Persson), Nonlinearity 33, 892-914 (2020).
A smooth zero-entropy diffeomorphism whose product with itself is loosely Bernoulli (with Marlies Gerber), Journal d'Analyse Mathématique 141, 521-583, 2020.
Smooth zero-entropy diffeomorphisms with ergodic derivative extension, Commentarii Mathematici Helvetici 95, 1-25 (2020).
Real-analytic AbC constructions on the torus (with Shilpak Banerjee), Ergodic Theory and Dynamical Systems 39, 2643-2688 (2019).
Uniform Rigidity sequences for weak mixing diffeomorphisms in higher dimensions, Journal of Mathematical Analysis and Applications 462,1398-1424 (2018).
Weakly mixing diffeomorphisms preserving a measurable Riemannian metric with prescribed Liouvillean rotation behavior (with Roland Gunesch), Discrete and Continuous Dynamical Systems A 38, 1615-1655 (2018).
Further dense properties of the space of circle diffeomorphisms with a Liouville rotation number, Journal of Dynamics and Differential Equations 30, 1145-1160 (2018).
Real-analytic weak mixing diffeomorphisms preserving a measurable Riemannian metric, Ergodic Theory and Dynamical Systems 37, 1547-1569 (2017).
Smooth diffeomorphisms with homogeneous spectrum and disjointness of convolutions, Journal of Modern Dynamics 10, 439-481 (2016).
Uniform Rigidity sequences for weak mixing diffeomorphisms, Journal of Mathematical Analysis and Applications 429, 111-130 (2015).