L. Guth

activity

20052026

most citedOn the Erdos distinct distance problem in the plane

105 citations · 592 across the 57 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

math.CA2017

Sharp estimates for oscillatory integral operators via polynomial partitioning

Larry Guth, Jonathan Hickman, Marina Iliopoulou

The sharp range of $L^{p}$ -estimates for the class of Hörmander-type oscillatory integral operators is established in all dimensions under a positive-definite assumption on the phase…

math.AP2017★ 1 cited

Strichartz estimates for the Schrodinger equation on irrational tori

Yu Deng, Pierre Germain, Larry Guth

We prove Strichartz estimates over large time scales for the Schrodinger equation set on irrational tori. They are optimal for Lebesgue exponents $p > 6$ .

math.CA2017★ 29 cited

Polynomial Wolff axioms and Kakeya-type estimates in $R^{4}$

Larry Guth, Joshua Zahl

We establish new linear and trilinear bounds for collections of tubes in $R^{4}$ that satisfy the polynomial Wolff axioms. In brief, a collection of $δ$ -tubes satisfies the…

Sharp estimates for oscillatory integral operators via polynomial partitioning

Strichartz estimates for the Schrodinger equation on irrational tori

Polynomial Wolff axioms and Kakeya-type estimates in R4

Polynomial Wolff axioms and Kakeya-type estimates in $R^{4}$