A study guide for the $\ell^2$ decoupling theorem for the paraboloid
Classical Analysis and ODEs
2024-02-23 v1
Abstract
This article serves as a study guide for the decoupling theorem for the paraboloid originally proved by Bourgain and Demeter. Given its popularity and importance, many expositions about the decoupling theorem already exist. Our study guide is intended to complement and combine these existing resources in order to provide a more gentle introduction to the subject.
Cite
@article{arxiv.2402.14756,
title = {A study guide for the $\ell^2$ decoupling theorem for the paraboloid},
author = {Ataleshvara Bhargava and Tiklung Chan and Zi Li Lim and Yixuan Pang},
journal= {arXiv preprint arXiv:2402.14756},
year = {2024}
}
Comments
77 pages, 3 figures. Study guide written at UPenn Study Guide Writing Workshop 2023 https://sites.google.com/view/studyguideworkshop2023/home