4 papers
Decoupling for AD-regular sets on the parabola
Ciprian Demeter, Yuqiu Fu
We improve the decoupling exponent for functions with spectrum inside AD-regular collections of arcs on the parabola. We achieve this by incorporating recent Szemerédi--Trotter-typ…
Radial Projections in Revisited
Paige Bright, Yuqiu Fu, Kevin Ren
We generalize the recent results on radial projections by Orponen, Shmerkin, Wang using two different methods. In particular, we show that given Borel set…
A note on maximal operators for the Schrödinger equation on
Yuqiu Fu, Kevin Ren, Haoyu Wang
Motivated by the study of the maximal operator for the Schrödinger equation on the one-dimensional torus , it is conjectured that for any complex sequence $ \{b_n\}…
An incidence estimate and a Furstenberg type estimate for tubes in
Yuqiu Fu, Shengwen Gan, Kevin Ren
We study the -discretized Szemerédi-Trotter theorem and Furstenberg set problem. We prove sharp estimates for both two problems assuming tubes satisfy some spacing condition. Fo…