3 papers
math.CA2026
Rectangles, triangles and Schrödinger waves
Jonathan Bennett, Vjekoslav Kovač, Shohei Nakamura +1
Can a finite set of lattice points determine many rectangles and few isosceles triangles? This turns out to be a surprisingly interesting question in combinatorial geometry that we…
math.CA2024
The oscillatory biest operator
Cristina Benea, Itamar Oliveira
We prove the boundedness of a trilinear operator that is modulation invariant and which contains curvature information given by the presence of a complex exponential, adding to the…
math.AP2024
Probabilistic well-posedness of generalized cubic nonlinear Schrödinger equations with strong dispersion using higher order expansions
Jean-baptiste Casteras, Juraj Földes, Itamar Oliveira +1
In this paper, we study the local well-posedness of the cubic Schrödinger equation …