Alonso Ruiz, Patricia

*individual record*
Assistant Professor

Positions:

- Assistant Professor, Mathematics, College of Science

Research Areas:

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. Currently I am working on problems related to diffusion processes and heat kernels on metric measure spaces with fractal-like features. I also have some on-going projects that concern the study of (asymptotic) geometric properties of random geometric models featured by random fields.

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 Articles18

- Ruiz, P. A., Chen, Y., Gu, H., Strichartz, R. S., & Zhou, Z. (2020).
__ANALYSIS ON HYBRID FRACTALS__.*Communications on Pure and Applied Analysis*. 19(1), 47-84. - 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. - Ruiz, P. A., & Spodarev, E. (2018).
__Entropy-based Inhomogeneity Detection in Fiber Materials__.*Methodology and Computing in Applied Probability*. 20(4), 1223-1239. - Ruiz, P. A. (2018).
__Explicit Formulas for Heat Kernels on Diamond Fractals__.*COMMUNICATIONS IN MATHEMATICAL PHYSICS*. 364(3), 1305-1326. - Alonso-Ruiz, P., & Spodarev, E. (2017).
__ESTIMATION OF ENTROPY FOR POISSON MARKED POINT PROCESSES__.*Advances in Applied Probability*. 49(1), 258-278.

researcher on

##### Principal Investigator2

- NSF - DMS 855349 awarded by National Science Foundation - (Arlington, Virginia, United States) 2019 - 2021

teaching activities

- MATH411 Math Probability Instructor
- MATH485 Directed Studies Instructor
- MATH685 Directed Studies Instructor

Email

paruiz@tamu.edu

First Name

Patricia

Last Name

Alonso Ruiz

Research Areas: