Alonso Ruiz, Patricia
individual record
Assistant Professor
Positions:
- Assistant Professor, Mathematics, College of Science
overview
My research revolves around Analysis and Probability; in particular I am interested in the interconnections between probabilistic, analytic and geometric aspects of stochastic processes on spaces with a rough structure. Mostly I work on diffusion processes and heat kernels on metric measure spaces with fractal-like features. I also study related equations of interest in mathematical physics.
education and training
- Ph.D. in Mathematics, University of Siegen - (Siegen, Nordrhein-Westfalen, Germany) 2013
- M.Sc. in Mathematics, Complutense University of Madrid - (Madrid, Spain) 2009
selected publications
Academic Articles24
- Alonso-Ruiz, P., Baudoin, F., Chen, L. i., Rogers, L., Shanmugalingam, N., & Teplyaev, A. (2021). Besov class via heat semigroup on Dirichlet spaces III: BV functions and sub-Gaussian heat kernel estimates. Calculus of Variations and Partial Differential Equations. 60(5), 170.
- Alonso Ruiz, P. (2021). Minimal Gap in the Spectrum of the Sierpiński Gasket. International Mathematics Research Notices.
- Alonso Ruiz, P., & Baudoin, F. (2021). Gagliardo-Nirenberg, Trudinger-Moser and Morrey inequalities on Dirichlet spaces. Journal of Mathematical Analysis and Applications. 497(2), 124899-124899.
- Alonso Ruiz, P. (2021). Heat kernel analysis on diamond fractals. Stochastic Processes and their Applications. 131, 51-72.
Repository Documents / Preprints11
- Ruiz, P. A., & Baudoin, F. (2020). Yet another heat semigroup characterization of BV functions on Riemannian manifolds.
- Ruiz, P. A., & Baudoin, F. (2020). Gagliardo-Nirenberg, Trudinger-Moser and Morrey inequalities on Dirichlet spaces.
researcher on
Principal Investigator3
- NSF - DMS 855349 awarded by National Science Foundation - (Arlington, Virginia, United States) 2019 - 2021
recent teaching activities
- MATH304 Linear Algebra Instructor
- MATH411 Math Probability Instructor
- MATH425 Math Of Contingent Claim Instructor
- MATH485 Directed Studies Instructor
- MATH491 Hnr-research Instructor
Email
paruiz@tamu.edu
First Name
Patricia
Last Name
Alonso Ruiz