Scholars

Alonso Ruiz, Patricia

Assistant Professor

Positions:

Assistant Professor, Mathematics, College of Science

Research Areas:

Fractals, Stochastic processes, Heat equation, Limit theorems (Probability theory), Dirichlet forms

Single Page Bio

paruiz@tamu.edu

Co-author Network

Map of Science

Co-investigator Network

Websites

https://www.math.tamu.edu/~paruiz/

ORCID

0000-0003-0618-6603

Research Areas:

Fractals, Stochastic processes, Heat equation, Limit theorems (Probability theory), Dirichlet forms

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 Articles22

Ruiz, P. A., & Baudoin, F. (2021). Gagliardo-Nirenberg, Trudinger-Moser and Morrey inequalities on Dirichlet spaces. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. 497(2), 124899-124899.
Ruiz, P. A. (2021). Heat kernel analysis on diamond fractals. Stochastic Processes and their Applications. 131, 51-72.
Ruiz, P. A., Baudoin, F., Chen, L. i., Rogers, L. G., Shanmugalingam, N., & Teplyaev, A. (2020). Besov class via heat semigroup on Dirichlet spaces I: Sobolev type inequalities. Journal of Functional Analysis. 278(11), 108459-108459.
Alonso-Ruiz, P., Baudoin, F., Chen, L. i., Rogers, L., Shanmugalingam, N., & Teplyaev, A. (2020). Besov class via heat semigroup on Dirichlet spaces II: BV functions and Gaussian heat kernel estimates. Calculus of Variations and Partial Differential Equations. 59(3), 103.
Alonso Ruiz, P., Chen, Y., Gu, H., S. Strichartz, R., & Zhou, Z. (2020). Analysis on hybrid fractals. Communications on Pure & Applied Analysis. 19(1), 47-84.