118 citations · 156 across the 3 of their papers we have counts for
3 papers
math.CA2018★ 15 cited
A higher dimensional Bourgain-Dyatlov fractal uncertainty principle
Rui Han, Wilhelm Schlag
We establish a version of the fractal uncertainty principle, obtained by Bourgain and Dyatlov in 2016, in higher dimensions. The Fourier support is limited to sets $Y\subset \mathb…
math.DS2016★ 23 cited
Symbolic dynamics for non-uniformly hyperbolic surface maps with discontinuities
Yuri Lima, Carlos Matheus
This work constructs symbolic dynamics for non-uniformly hyperbolic surface maps with a set of discontinuities . We allow the derivative of points nearby to be unbounded, of…
math.AP2003★ 118 cited
Asymptotic stability of N-soliton states of NLS
I. Rodnianski, W. Schlag, A. Soffer
The focusing nonlinear Schrodinger equation possesses special non-dispersive solitary type solutions, solitons. Under certain spectral assumptions we show existence and asymptotic…