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I am an assistant professor (profesora lectora) and Serra Húnter fellow in the Dept. de Matemàtiques i Informàtica at Universitat de Barcelona (UB), and a member of the Centre de Recerca Matemàtica (CRM).
I am an assistant professor (profesora lectora) and Serra Húnter fellow in the Dept. de Matemàtiques i Informàtica at Universitat de Barcelona (UB), and a member of the Centre de Recerca Matemàtica (CRM).
Previously, I held postdoctoral positions at The University of Manchester (UK), SLMath (USA) and IM PAN (Poland). I completed my PhD at the University of Liverpool (UK) in 2019.
Previously, I held postdoctoral positions at The University of Manchester (UK), SLMath (USA) and IM PAN (Poland). I completed my PhD at the University of Liverpool (UK) in 2019.
Broadly speaking, I am interested in holomorphic dynamics, complex analysis and fractal geometry.
Broadly speaking, I am interested in holomorphic dynamics, complex analysis and fractal geometry.
For more on related research and activities at UB, check out the Dynamical Systems group and its section in holomorphic dynamics.
Email address: lpardosimon@ub.edu
Publications and preprints
Publications and preprints
On the dimension of the boundaries of attracting basins of entire maps (with K. Barański, B. Karpińska, D. Martí-Pete and A. Zdunik).
Submitted, 2025, [arXiv].
Grand orbit relations in wandering domains (with V. Evdoridou, N. Fagella and L. Geyer).
Submitted, 2024, [arXiv].
Entire functions with Cantor bouquet Julia sets (with L. Rempe).
Journal of the London Mathematical Society, 112: e70142, 2025, [link].
Wandering domains with nearly bounded orbits (with D. J. Sixsmith).
Proceedings of the American Mathematical Society, 152, 4311-4323, 2024, [link].
An approximate solution to Erdös' maximum modulus points problem (with A. Glücksam).
Journal of Mathematical Analysis and Applications, 531, 127768, 2024, [link].
Unbounded fast escaping wandering domains (with V. Evdoridou and A. Glücksam).
Advances in Mathematics, 417, 108914, 2023, [link].
Topological dynamics of cosine maps.
Mathematical Proceedings of the Cambridge Philosophical Society, 174(3), 497-529, 2023, [link].
Splitting hairs with transcendental entire functions.
International Mathematics Research Notices, 15, 13387-13425, 2023, [link].
Criniferous entire maps with absorbing Cantor bouquets.
Discrete and Continuous Dynamical Systems, 42(2): 989-1010, 2022, [link].
Orbifold expansion and entire functions with bounded Fatou components.
Ergodic Theory and Dynamical Systems, 42(5), 1807-1846, 2022, [link].
The maximum modulus set of a polynomial (with D. J. Sixsmith).
Computational Methods and Function Theory, 22, 207–214, 2022, [link].
On a result of Hayman concerning the maximum modulus set (with V. Evdoridou and D. J. Sixsmith).
Computational Methods and Function Theory, 21, 779-795, 2021, [link].
Combinatorics of criniferous entire maps with escaping critical values.
Conformal Geometry and Dynamics, 25: 51-78, 2021, [link].
Variations on a theme of Hardy concerning the maximum modulus (with D. J. Sixsmith).
Bulletin of the London Mathematical Society, 52: 1134-1147, 2020, [link].
Dimensions of an overlapping generalization of Barański carpets.
Ergodic Theory and Dynamical Systems,9(3), 733-763, 2019, [link].
Dynamics of transcendental entire functions with escaping singular orbits.
PhD thesis, University of Liverpool, 2019, [link].
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