Transformation of the Gibbs measure of the cubic NLS and fractional NLS under an approximated Birkhoff map

Articolo

Data di Pubblicazione:

2025

Citazione:

Transformation of the Gibbs measure of the cubic NLS and fractional NLS under an approximated Birkhoff map / G. Genovese, R. Luca, R. Montalto. - In: EMS SURVEYS IN MATHEMATICAL SCIENCES. - ISSN 2308-2151. - 12:1(2025), pp. 27-69. [10.4171/EMSS/94]

Abstract:

We study the Gibbs measure associated to the periodic cubic nonlinear Schrodinger equation. We establish a change of variable formula for this measure under the first step of the Birkhoff normal form reduction. We also consider the case of fractional dispersion.

Tipologia IRIS:

01 - Articolo su periodico

Keywords:

cubic Schrodinger equations; Gibbs measure; quasi-invariance; Birkhoff normal form

Elenco autori: