Transformation of the Gibbs measure of the cubic NLS and fractional NLS under an approximated Birkhoff map
We study the Gibbs measure associated to the periodic cubic nonlinear Schrödinger 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.
Authors
- Renato Lucà (ORCID: https://orcid.org/0000-0002-7983-7967)
- Giuseppe Genovese (ORCID: https://orcid.org/0000-0002-6505-5104)
- Riccardo Montalto (ORCID: https://orcid.org/0000-0002-2472-7023)
Institutions
- Université d'Orléans (FR)
- University of British Columbia (CA)
- University of Milan (IT)
Publication Details
- Journal
- EMS Surveys in Mathematical Sciences
- Published
- 2025-02-03
- DOI
- https://doi.org/10.4171/emss/94
- Primary Topic
- Nonlinear Waves and Solitons
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Istituto Nazionale di Alta Matematica "Francesco Severi"
- Ministerio de Ciencia, Innovación y Universidades
- European Commission
- Eusko Jaurlaritza
- Basque Center for Applied Mathematics
- Gruppo Nazionale per la Fisica Matematica