Seminars

Promoviendo prácticas dialógicas en la enseñanza de la matemáticas: propuesta para iniciativas locales de formación docente.

Event Date: Aug 13, 2024 in Education, Seminars

Bounds on the approximation error for Deep Neural Networks applied to dispersive models: Nonlinear waves.

Event Date: Aug 05, 2024 in Differential Equations, Seminars

Abstract:  In this talk we present a comprehensive framework for deriving rigorous and efficient bounds on the approximation error of deep neural networks in PDE models characterized by branching mechanisms, such as waves, Schrödinger equations, and other dispersive models. This framework utilizes the probabilistic setting established by Henry-Labordère and Touzi. We illustrate this approach by providing rigorous bounds on the approximation error for both linear and nonlinear waves in physical dimensions d = 1, 2, 3, and analyze their respective computational costs starting from time...

¿Cómo influye el diseño de los textos escolares en la manera en que los profesores planifican? un estudio sobre la interacción de los profesores y los textos escolares.

Event Date: Jul 30, 2024 in Education, Seminars

On the nonexistence of NLS breathers.

Event Date: Jul 22, 2024 in Differential Equations, Seminars

Abstract: In this talk,  we will show a  proof of the nonexistence of breather solutions for NLS equations. By using a suitable virial functional, we are able to characterize the nonexistence of breather solutions by only using their inner energy and the power of the corresponding nonlinearity of the equation. We extend this result for several NLS models with different power nonlinearities and even the derivative NLS equation.

Evaluación de la calidad dinámica de productos satelitales de temperatura superficial del océano.

Event Date: Jul 12, 2024 in Ciclo de Seminarios quincenales de la Alianza Copernicus-Chile, Seminars

Limiting distributions of Spherical and Spin O(N) models: Appearance of GFF.

Event Date: Jul 10, 2024 in Seminario de Probabilidades de Chile, Seminars

Resumen:   Spherical model is a mathematical model of a ferromagnet introduced by Berlin and Kac in 1952 as a rough but analytically convenient modification of the Ising model. Since its inception it has enjoyed considerable popularity among the mathematicians and physicists as an exactly soluble model exhibiting a phase transition. In this talk we will explain its relation to the Gaussian free field in the infinite volume limit and to the spin O(N) model in the infinite spin-dimensionality limit of the latter.