Scholars

Alonso Ruiz, Patricia

Assistant Professor

Positions:

Assistant Professor, Mathematics, College of Science

Research Areas:

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

Single Page Bio

Profile Summary

paruiz@tamu.edu

Co-author Network

Map of Science

Co-investigator Network

Websites

http://people.tamu.edu/~paruiz/

ORCID

0000-0003-0618-6603

Research Areas:

Fractals, Stochastic processes, Heat equation, Schrödinger 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 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.
Ruiz, P. A. (2021). Minimal gap in the spectrum of the Sierpinski gasket.
Alonso Ruiz, P. (2021). Heat kernel analysis on diamond fractals. Stochastic Processes and their Applications. 131, 51-72.

Repository Documents / Preprints11

Ruiz, P. A. (2021). Minimal gap in the spectrum of the Sierpinski gasket.
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.
Ruiz, P. A. (2019). Heat kernel analysis on diamond fractals.
Ruiz, P. A., Chen, Y., Gu, H., Strichartz, R. S., & Zhou, Z. (2018). Analysis on hybrid fractals.

researcher on

Principal Investigator3

NSF - DMS 855349 awarded by National Science Foundation - (Arlington, Virginia, United States) 2019 - 2021
Stochastic Processes on Rough Spaces and Geometric Properties of Random Sets awarded by Directorate for Mathematical & Physical Sciences - (Arlington, Virginia, United States) 2019 - 2022
Feodor Lynen Fellowship awarded by Alexander von Humboldt Foundation - (Bonn, Germany) 2016 - 2018

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

Research Areas:

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

Single Page Bio

Profile Summary

paruiz@tamu.edu

Co-author Network

Map of Science

Co-investigator Network

Websites

http://people.tamu.edu/~paruiz/

ORCID

0000-0003-0618-6603

Research Areas:

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

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