5 citations · 5 across the 3 of their papers we have counts for
3 papers
math.CO2009★ 5 cited
Pinned distance sets, k-simplices, Wolff's exponent in finite fields and sum-product estimates
Jeremy Chapman, M. Burak Erdogan, Derrick Hart +2
An analog of the Falconer distance problem in vector spaces over finite fields asks for the threshold such that whenever , where $E \subse…
math.AP2007
Strichartz and Smoothing Estimates for Schrödinger Operators with Almost Critical Magnetic Potentials in Three and Higher Dimensions
M. Burak Erdogan, Michael Goldberg, Wilhelm Schlag
In this paper we consider magnetic Schrödinger operators in R^n, n \ge 3. Under almost optimal conditions on the potentials in terms of decay and regularity we prove smoothing and…
math-ph2007
Quasi-linear dynamics in nonlinear Schr\" odinger equation with periodic boundary conditions
M. Burak Erdogan, Vadim Zharnitsky
It is shown that a large subset of initial data with finite energy ( norm)evolves nearly linearly in nonlinear Schr\" odinger equation with periodic boundary conditions. These…