Buongiorno a tutti,

Vorremmo segnalarvi che venerdì prossimo (22 Marzo) alle ore 14:30 in aula 2AB40 (Torre Archimede, Università di Padova) ci sarà un seminario per il ciclo di seminari in Probabilità e Finanza di:

Carlos Escudero Lienana (Universidad Autónoma de Madrid)

https://portalcientifico.uned.es/investigadores/204034/colaboracion/organiz aciones/9 https://portalcientifico.uned.es/investigadores/204034/colaboracion/organiza ciones/9

Title: The noise interpretation problem in mathematical physics

Date: March 22, 2024, at 14:30 room 2AB40

Abstract: Stochastic differential equations have been used as models in physics and finance for many decades now. Before a rigorous theory of these mathematical objects were introduced, and even after that, an informal use of these equations has been employed in these two fields, among many others. Herein we will focus on the extensive use of them employed in statistical physics. While the primordial use is explicitly informal, at some point the physics community recognize the importance of using a more precise language. This is the starting point of the “noise interpretation problem”, which translated, in hundreds of papers, in deciding whether a given model should be considered an Itô or a Stratonovich stochastic integral equation. Quite surprisingly, after several decades and hundreds of papers, and also after the question was considered settled by a certain establishment, the problem still seems to be open. Herein we will show certain examples that illustrate how this search for a more precise language in the physics literature has translated old ambiguities into newer ones. We will resolve some of them using the precise mathematical language introduced by Kiyoshi Itô and other classical stochastic analysts.

Vi aspettiamo numerosi!

Alberto Chiarini e Alekos Cecchin

Sito web del seminario: https://www.math.unipd.it/~chiarini/seminars/