Office
Office 17 (C1/030)
Phone
93 581 22 03
E-mail
ftrujillo@crm.cat
Position
Postdoctoral Researcher
Funding
Marie Curie
Area
Dynamical Systems
Group
Dynamical Systems
Trujillo, Frank
Biosketch
I completed a PhD in Mathematics at the IMJ-PRG, Université de Paris, under the joint supervision of Hakan Eliasson, Professor at the Université de Paris, and Bassam Fayad, CNRS Senior Research Scientist at the IMJ-PRG and Professor at the University of Maryland.
I was previously a postdoctoral researcher at the University of Zurich under the supervision of Corinna Ulcigrai, Professor at the University of Zurich.
Here's a link to my personal website.
Other Research Interests
Hamiltonian Dynamics, KAM Theory, Circle Maps and Interval Exchange Transformations.
Selected publications
Published
- Trujillo, F. Hausdorff Dimension of Invariant Measures of Multicritical Circle Maps. Ann. Henri Poincaré 21, 2861–2875 (2020).
- Trujillo, F. Uniqueness properties of the KAM curve. Discrete & Continuous Dynamical Systems 41, 5165 (2021).
- Trujillo, F. Smooth, mixing transformations with loosely Bernoulli Cartesian square. Ergodic Theory and Dynamical Systems 42, 1252–1283 (2022).
- Trujillo, F. Lyapunov instability in KAM stable Hamiltonians with two degrees of freedom. Journal of Modern Dynamics 19, 363–383 (2023).
- Berk, P. & Trujillo, F. Rigidity for piece-wise smooth circle maps and certain GIETs. Accepted for publication in Advances in Mathematics 441, (2024)
Accepted
- Trujillo, F. & Ulcigrai, C. Affine IETs with a singular conjugacy to an IET. Accepted for publication in Annali Scuola Normale Superiore - Classe di Scienze. Preprint at https://doi.org/10.48550/arXiv.2210.14202 (2022).
- Trujillo, F. On the Hausdorff dimension of invariant measures of piecewise smooth circle homeomorphisms. Accepted for publication in Ergodic Theory and Dynamical Systems. Preprint at https://doi.org/10.48550/arXiv.2210.16233 (2022).
Submitted
- Trujillo, F. Surviving Lower Dimensional Invariant Tori of a Resonant Torus with any Number of Resonances. Preprint at https://doi.org/10.48550/arXiv.2109.10064 (2021).
- Berk, P., Trujillo, F. & Ulcigrai, C. Ergodicity of explicit logarithmic cocycles over IETs. Preprint at https://doi.org/10.48550/arXiv.2210.16343 (2023).
- Berk, P. & Trujillo, F. Ergodicity of infinite extensions of symmetric IETs by the centered indicator of (0,1/2). Preprint at https://doi.org/10.48550/arXiv.2304.01868 (2023).