10 citations · 51 across the 31 of their papers we have counts for
5 papers · 1 filter
On normalized differentials on hyperelliptic curves of infinite genus
T. Kappeler, P. Topalov
We develop a new approach for constructing normalized differentials on hyperelliptic curves of infinite genus and obtain uniform asymptotic estimates for the distribution of their…
Generic non-selfadjoint Zakharov-Shabat operators
T. Kappeler, P. Lohrmann, P. Topalov
In this paper we develop tools to study families of non-selfadjoint operators , characterized by the property that the spectrum of is (partially) simple. As a…
Asymptotics of spectral quantities of Schrödinger operators
T. Kappeler, B. Schaad, P. Topalov
In this paper we provide new asymptotic estimates of the Floquet exponents of Schrödinger operators on the circle. By the same techniques, known asymptotic estimates of various oth…
Invariants of isospectral deformations and spectral rigidity
G. Popov, P. Topalov
We introduce a notion of weak isospectrality for continuous deformations. Consider the Laplace-Beltrami operator on a compact Riemannian manifold with boundary with Robin boundary…
The Miura Map on the Line
Thomas Kappeler, Peter Perry, Mikhail Shubin +1
The Miura map (introduced by Miura) is a nonlinear map between function spaces which transforms smooth solutions of the modified Korteweg - de Vries equation (mKdV) to solutions of…