Patricia Alonso Ruiz

Friedrich Schiller University Jena — Germany

Mathematics · Physical Sciences

9h-index271citations52works0.42yr avg
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Research Topics

Mathematical Dynamics and Fractals(17), Nonlinear Partial Differential Equations(12), Advanced Harmonic Analysis Research(10), Geometric Analysis and Curvature Flows(8), Advanced Mathematical Modeling in Engineering(6)

Publications52 total

Fractional Sobolev embeddings and algebra property: A dyadic view
Journal of Mathematical Analysis and Applications·2026Open Access
Orlicz-Sobolev embeddings and heat kernel based Besov classes
arXiv (Cornell University)·2025Open Access
Iterative methods fail to solve NLS below the Sobolev embedding threshold on the Sierpinski gasket
arXiv (Cornell University)·2025Open Access
A new graph-directed construction of nonlocal energies on the unit interval
arXiv (Cornell University)·2025Open Access
Korevaar–Schoen <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si11.svg" display="inline" id="d1e26"><mml:mi>p</mml:mi></mml:math>-energies and their <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si12.svg" display="inline" id="d1e31"><mml:mi>Γ</mml:mi></mml:math>-limits on Cheeger spaces
Nonlinear Analysis·2025· 3 cited
Fractional Sobolev embeddings and algebra property: A dyadic view
arXiv (Cornell University)·2024Open Access
Korevaar-Schoen $p$-energies and their $Γ$-limits on Cheeger spaces
arXiv (Cornell University)·2024Open Access
Utility of Liquid Biopsy for Molecular Profiling and Monitoring in Metastatic Colorectal Cancer: A Pilot Study in a Real-World Cohort
The Journal of Liquid Biopsy·2023Open Access
Dirichlet forms on metric measure spaces as Mosco limits of Korevaar-Schoen energies
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE·2023· 1 cited
Random Phenomena with Fractal-like Features
Notices of the American Mathematical Society·2023Open Access
Yet another heat semigroup characterization of BV functions on Riemannian manifolds
Annales de la faculté des sciences de Toulouse Mathématiques·2023· 3 citedOpen Access
Oscillations of BV measures on unbounded nested fractals
Journal of Fractal Geometry Mathematics of Fractals and Related Topics·2023· 1 citedOpen Access
From Classical Analysis to Analysis on Fractals
Applied and numerical harmonic analysis·2023· 1 citedOpen Access
BV functions and fractional Laplacians on Dirichlet spaces
Asian Journal of Mathematics·2023· 1 cited
From Strichartz Estimates to Differential Equations on Fractals
Applied and numerical harmonic analysis·2023
Oscillations of BV measures on nested fractals
arXiv (Cornell University)·2022Open Access
Minimal Gap in the Spectrum of the Sierpiński Gasket
International Mathematics Research Notices·2021· 1 cited
Besov class via heat semigroup on Dirichlet spaces III: BV functions and sub-Gaussian heat kernel estimates
Calculus of Variations and Partial Differential Equations·2021· 23 citedOpen Access
Minimal gap in the spectrum of the Sierpinski gasket
arXiv (Cornell University)·2021Open Access
Gagliardo-Nirenberg, Trudinger-Moser and Morrey inequalities on Dirichlet spaces
Journal of Mathematical Analysis and Applications·2020· 1 citedOpen Access
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Frequent Co-authors

Fabrice Baudoin(16), Alexander Teplyaev(14), Luke G. Rogers(12), Li Chen(8), Nageswari Shanmugalingam(8), Uta Freiberg(6), Robert S. Strichartz(5), Joe P. Chen(3), Evgeny Spodarev(3), Michael Hinz(3), Lourdes Flores‐Luna(2), Eduardo Salazar-Martı́nez(2), Reyna Margarita Duarte-Torres(2), Gabriela Torres-Mejı́a(2), Eduardo Lazcano‐Ponce(2), Jun Kigami(2), Kasso A. Okoudjou(2), Valentia Fragkiadaki(2), Alexander Rakitko(2), Y. Chen(1)