Home Page of Helge Krüger

Address: Helge Krüger
Department of Mathematics-- MS 136, Rice University
6100 S. Main St., Houston TX 77005-1892
USA

Office: Herman Brown Hall 14

Phone: +1 713 348 4598

Email: helge.krueger@rice.edu.

I am currently graduate student at Rice University supervised by David Damanik. My interests lie inside spectral theory. In particular, oscillation theory, asymptotics of the Toda lattice, and Schrödinger operators and CMV matrices. I am involved in Gerald Teschl's START group: Spectral Analysis and Applications to Soliton Equations. From 2006 - 2007, I was member of that group and earned my master degree in mathematics February 8, 2007.

Teaching

Math 101: Calculus 1, Fall 2008, MWF: 9:00 to 9:50 am.

Upcoming Events

November 12, 2008: Geometry-Analysis Seminar, Rice University, Houston, USA.

Preprints

A family of Schrödinger Operators whose spectrum is an interval . [TeX | DVI | PDF].
Schrödinger Operators defined by Interval Exchange Transformations , with J. Chaika and D. Damanik. [TeX | PDF].
Stability of the Periodic Toda Lattice in the Soliton Region, with G. Teschl. [TeX | DVI | PDF].
Almost Periodic Szegö Cocycles with Uniformly Positive Lyapunov Exponents, with D.Damanik, [TeX | DVI | PDF].
On Perturbations of Quasi-Periodic Schrödinger operators, [TeX | DVI | PDF].

Publications

Long-Time Asymptotics of the Toda Lattice for Decaying Initial Data Revisited, with G. Teschl, Rev. Math. Phys. (to appear). [TeX | DVI | PDF].
Long-Time Asymptotics for the Toda Lattice in the Soliton Region, with G.Teschl, Math. Z. (to appear), [TeX | DVI | PDF].
Effective Prüfer Angles and Relative Oscillation Criteria, with G. Teschl, J. Diff. Eq. (to appear), [TeX | DVI | PDF].
Relative Oscillation Theory for Sturm--Liouville operators extended, with G. Teschl, J. Funct. Anal. 254-6, 1702-1720 (2008), [TeX | DVI | PDF].
Relative Oscillation Theory, weighted Zeros of the Wronskian, and the Spectral Shift Function, with G. Teschl, Comm. Math. Phys. (to appear), [TeX | DVI | PDF].

All publications and preprints are also available at the arxiv.

Thesis

Relative Oscillation Theory for Sturm-Liouville operators, Master Thesis, University of Vienna, December 2006. [TeX | PDF]

Helge Krüger, 2008.