Alonso Ruiz, Patricia individual record
Assistant Professor
Positions:
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
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.
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  • Ruiz, P. A. (2021). Heat kernel analysis on diamond fractals. Stochastic Processes and their Applications. 131, 51-72.
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  • 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.
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  • 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.
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  • 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.
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Email
paruiz@tamu.edu
First Name
Patricia
Last Name
Alonso Ruiz