María Emilia Caballero Acosta is a Mexican mathematician specializing in

probability theory Probability theory is the branch of mathematics concerned with probability. Although there are several different probability interpretations, probability theory treats the concept in a rigorous mathematical manner by expressing it through a set o ...

, including

Lévy process In probability theory, a Lévy process, named after the French mathematician Paul Lévy, is a stochastic process with independent, stationary increments: it represents the motion of a point whose successive displacements are random, in which disp ...

es,

branching process In probability theory, a branching process is a type of mathematical object known as a stochastic process, which consists of collections of random variables. The random variables of a stochastic process are indexed by the natural numbers. The origi ...

es,

Markov processes Markov (Bulgarian, russian: Марков), Markova, and Markoff are common surnames used in Russia and Bulgaria. Notable people with the name include: Academics *Ivana Markova (born 1938), Czechoslovak-British emeritus professor of psychology at t ...

, and Lamperti representations (an exponential relation between Markov processes and Lévy processes). She is a professor in the Faculty of Sciences and Researcher in the Institute of Sciences of the

National Autonomous University of Mexico The National Autonomous University of Mexico ( es, Universidad Nacional Autónoma de México, UNAM) is a public research university in Mexico. It is consistently ranked as one of the best universities in Latin America, where it's also the bigges ...

(UNAM).

Education and career

After doing her undergraduate studies at the

, Caballero went to

Pierre and Marie Curie University Pierre and Marie Curie University (french: link=no, Université Pierre-et-Marie-Curie, UPMC), also known as Paris 6, was a public university, public research university in Paris, France, from 1971 to 2017. The university was located on the Jussi ...

in France for graduate study in mathematics. She completed a doctorat de troisième cycle in 1973, with the dissertation ''Quelques proprietes en theorie du potentiel'' in

potential theory In mathematics and mathematical physics, potential theory is the study of harmonic functions. The term "potential theory" was coined in 19th-century physics when it was realized that two fundamental forces of nature known at the time, namely gravi ...

, jointly supervised by Marcel Brelot and

Paul Malliavin Paul Malliavin (; September 10, 1925 – June 3, 2010) was a French mathematician who made important contributions to harmonic analysis and stochastic analysis. He is known for the Malliavin calculus, an infinite dimensional calculus for func ...

. Her interest in probability theory developed out of this work and the probabilistic theory of potential. Already in 1964, she had begun working as an adjunct professor at the

Escuela Nacional Preparatoria The Escuela Nacional Preparatoria ( en, National Preparatory High School) (ENP), the oldest senior High School system in Mexico, belonging to the National Autonomous University of Mexico (UNAM), opened its doors on February 1, 1868. It was founded ...

and as an assistant in the Faculty of Sciences at UNAM. On completing her doctorate in 1973, she took her present position at the Institute of Mathematics.

Recognition

Caballero is a member of the

Mexican Academy of Sciences The Mexican Academy of Sciences ''(Academia Mexicana de Ciencias)'' is a non-profit organization comprising over 1800 distinguished Mexican scientists, attached to various institutions in the country, as well as a number of eminent foreign coll ...

. She won UNAM's Juana de Asbaje Medal in 2004. In 2012 she won UNAM's National University Award, the first woman in the Institute of Mathematics to win this award.

References

{{DEFAULTSORT:Caballero, Maria Emilia Year of birth missing (living people) Living people Mexican mathematicians Mexican women mathematicians Probability theorists National Autonomous University of Mexico alumni National Autonomous University of Mexico faculty Members of the Mexican Academy of Sciences