Research

Publications and Preprints

  1. Existence of Non-Smooth Bifurcations of Uniformly Hyperbolic Invariant Manifolds in Skew Product Systems, with Figueras, J-Ll, Link

  2. On the invariant Cantor sets of period doubling type of infinitely renormalizable area-preserving maps, Commun. Math. Phys. (2017). Link

  3. On the geometry of period doubling invariant sets for area-preserving maps, with Gaidashev, D, (submitted) Preprint

  4. Universality but no rigidity for two-dimensional perturbations of almost commuting pairs, with Gaidashev, D, (submitted) Preprint

Doctoral thesis

Properties of invariant sets in certain two-dimensional dynamical systems: Renormalization and beyond, 2022. Link