Seminari di Matematica
Palazzo delle Scienze
Via Ospedale 72
8 novembre 2017
Aula B ore 16.00
Il Prof. Jaques Franchi (IRMA – Université de Strasbourg I ) terrà il seminario
From Euclidian to Riemannian and Relativistic Diffusions
Abstract: Starting from Euclidian Brownian motion, the Itô stochastic calculus allows to define Brownian motion on a generic Riemannian manifold.
Its law is intrinsic, and its behaviour is intimately related to the geometry of the manifold.
Furthermore, a partially similar construction makes sense in general relativity, on the unit tangent bundle of a generic Lorentzian manifold,
thus yielding relativistic diffusions, again with a strong relation to the ambient geometry.
Examples were studied on Minkowski, Schwarzschild, Gödel and Robertson-Walker space-times.
Tutti gli interessati sono invitati.
Monica Musio & Paola Piu