@article {2022,
	title = {On the analyticity of the Dirichlet-Neumann operator and Stokes waves},
	journal = {RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI},
	volume = {33},
	year = {2022},
	pages = {611-650},
	type = {Article},
	abstract = {<p>We prove an analyticity result for the Dirichlet-Neumann operator under space periodic boundary conditions in any dimension in an unbounded domain with infinite depth. We derive an analytic bifurcation result of analytic Stokes waves-i.e., space periodic traveling solutions-of the water waves equations in deep water.</p>},
	keywords = {Bifurcation theory, Dirichlet-Neumann operator, traveling waves, water waves},
	issn = {1120-6330},
	doi = {10.4171/RLM/983},
	author = {Berti, Massimiliano and Maspero, Alberto and Ventura, Paolo}
}
