Descripción: A large deviation principle for a natural sequence of point processes on a Riemannian two-dimensional manifold

A large deviation principle for a natural sequence of point processes on a Riemannian two-dimensional manifold

We follow the techniques of Paul Dupuis, Vaios Laschos, and Kavita Ramanan in [8] to prove a large deviation principle for a sequence of point processes dened by Gibbs measures on a compact orientable two- dimensional Riemannian manifold. We see that the corresponding sequence of empirical measures...

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Autor Principal:	García Zelada, David
Formato:
Idioma:	spa
Publicado:	Pontificia Universidad Católica del Perú 2018
Materias:	Gibbs measure; Coulomb gas; empirical measure; large deviation principle; interacting particle system; singular potential; two-dimensional Einstein manifold; relative entropy 60F10, 60K35, 82C22 Medidas de Gibbs Gas de Coulomb Medida Emprica Principio de Grandes Desvíos Sistemas de Partículas Interactuantes Potencial Singular Variedad de Einstein 2-Dimensional Entropía Relativa
Acceso en línea:	http://revistas.pucp.edu.pe/index.php/promathematica/article/view/20244
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

Sumario:	We follow the techniques of Paul Dupuis, Vaios Laschos, and Kavita Ramanan in [8] to prove a large deviation principle for a sequence of point processes dened by Gibbs measures on a compact orientable two- dimensional Riemannian manifold. We see that the corresponding sequence of empirical measures converges to the solution of a partial differential equation and, in some cases, to the volume form of a constant curvature metric.

A large deviation principle for a natural sequence of point processes on a Riemannian two-dimensional manifold

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