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Fairy circles and their non-local stochastic instability
(Springer, 2017-02)
We study analytically a non local stochastic partial differential equation describing a fundamental mechanism for patterns formation, as the one responsible for the so called fairy circles appearing in two different ...
Integrability of stochastic birth-death processes via differential galois theory
(EDP Sciences, 2020)
Stochastic birth-death processes are described as continuous-time Markov processes in
models of population dynamics. A system of in nite, coupled ordinary diferential equations (the so-
called master equation) describes ...
Wellposedness For Stochastic Continuity Equations With Ladyzhenskaya–prodi–serrin Condition
(Birkhauser Verlag AG, 2015)
Una nota sobre valoración de opciones financieras y ecuaciones diferenciales parciales no lineales (I)
(Facultad de Finanzas, Gobierno y Relaciones Internacionales, 2019-05-13)
Se presentan los fundamentos del problema de la valoración de opciones en contextos menos restrictivos que el propuesto por Black-Scholes, utilizando ecuaciones diferenciales parciales no lineales.
Stochastic Path Perturbation Approach Applied to Non-Local Non-Linear Equations in Population Dynamics
(EDP Sciences, 2015-07)
We described the first passage time distribution associated to the stochastic evolution from an unstable uniform state to a patterned one (attractor of the system), when the time evolution is given by an integro-differential ...