60 citations · 151 across the 48 of their papers we have counts for
4 papers · 2 filters
Maximal -subsets of manifolds
Ciprian Demeter, Hongki Jung, Donggeun Ryou
We construct maximal -subsets on a large class of curved manifolds, in an optimal range of Lebesgue exponents . Our arguments combine restriction estimates and decoupling…
Szemerédi-Trotter bounds for tubes and applications
Ciprian Demeter, Hong Wang
We prove sharp estimates for incidences involving planar tubes that satisfy packing conditions. We apply them to improve the estimates for the Fourier transform of fractal measures…
Beyond canonical decoupling
Ciprian Demeter
We introduce two families of inequalities. Large ensemble decoupling is connected to the continuous restriction phenomenon. Tight decoupling is connected to the discrete Restrictio…
Level set estimates for the periodic Schrödinger maximal function on
Ciprian Demeter
We prove (essentially) sharp level set estimates for the periodic Schrödinger maximal operator in a certain range of the cut-off parameter.