Homepage of Mats Bylund

Hello! I do mathematics and hold a postdoctoral research position at Laboratoire de Mathématiques d'Orsay, Université Paris–Saclay, hosted by Jacek Graczyk and supported by the Knut and Alice Wallenberg Foundation. Before this I was enrolled in the Junior Fellowship Program at Institute Mittag–Leffler.

I was awarded my PhD at the Centre for Mathematical Sciences at Lund University, and was a member of the Dynamical Systems group. My supervisor was Magnus Aspenberg. You may find my PhD thesis here.

Here you can find me in the Mathematics Genealogy Project.

Contact

Bureau 2O1
Laboratoire de mathématique d'Orsay
Bât. 307
Université Paris–Saclay
91405 Orsay

Email: firstname.lastname@universite-paris-saclay.fr

Research

I do research in low-dimensional and complex dynamics. In particular I am interested in the recurrent behaviour of critical points.

Papers/preprints

• M. Aspenberg, M. Bylund, W. Cui,
  Collet–Eckmann maps in the unicritical family,
  submitted,
  preprint: arXiv:2402.19256.

• M. Bylund,
  Equivalence of Collet–Eckmann conditions for slowly recurrent rational maps,
  Conformal Geometry and Dynamics 26 (2022), 235–242,
  published version: doi.org/10.1090/ecgd/378,
  preprint: arXiv:2209.05237.

• M. Aspenberg, M. Bylund, W. Cui,
  Slowly recurrent Collet–Eckmann maps with non-empty Fatou set,
  Proceedings of the London Mathematical Society 128 (2024), no. 1, Paper No. e12574,
  published version: doi.org/10.1112/plms.12574,
  preprint: arXiv:2207.14046.

• M. Bylund,
  Critical recurrence in the real quadratic family,
  Ergodic Theory and Dynamical Systems 43 (2023), no. 10, 3255–3287,
  published version: doi.org/10.1017/etds.2022.78,
  preprint: arXiv:2103.17200.

In preparation

• Univalent passage to the large scale.
  

• Critical recurrence for rational Collet–Eckmann maps.