1 citations · 1 across the 2 of their papers we have counts for
3 papers
math-ph2021
The Deift Conjecture: A Program to Construct a Counterexample
David Damanik, Milivoje Lukić, Alexander Volberg +1
We describe a program to construct a counterexample to the Deift conjecture, that is, an almost periodic function whose evolution under the KdV equation is not almost periodic in t…
math.SP2019★ 1 cited
Szegő's Theorem for Canonical Systems: the Arov Gauge and a Sum Rule
David Damanik, Benjamin Eichinger, Peter Yuditskii
We consider canonical systems and investigate the Szegő class, which is defined via the finiteness of the associated entropy functional. Noting that the canonical system may be stu…
math.SP2014
Counterexamples to the Kotani-Last Conjecture for Continuum Schrödinger Operators via Character-Automorphic Hardy Spaces
David Damanik, Peter Yuditskii
The Kotani-Last conjecture states that every ergodic operator in one space dimension with non-empty absolutely continuous spectrum must have almost periodic coefficients. This stat…