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Helge

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 research interests lie inside spectral theory. In particular, oscillation theory for Sturm--Liouville operators [1, 2, 3, 4], long-time asymptotics of the Toda lattice via Riemann--Hilbert problems and scattering theory [5, 7], and ergodic Schrödinger operators and CMV Matrices [6]. 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. A more detailed vita may be found here.

Upcoming Events

Publications

  1. Relative Oscillation Theory for Sturm--Liouville operators extended, with G. Teschl, J. Funct. Anal. 254-6, 1702-1720 (2008), [TeX | DVI | PDF].
  2. Relative Oscillation Theory, weighted Zeros of the Wronskian, and the Spectral Shift Function, with G. Teschl, Comm. Math. Phys. (to appear), [TeX | DVI | PDF].

Preprints

  1. Long-Time Asymptotics of the Toda Lattice for Decaying Initial Data Revisited, with G.Teschl, [TeX | DVI | PDF].
  2. Almost Periodic Szegö Cocycles with Uniformly Positive Lyapunov Exponents, with D.Damanik, [TeX | DVI | PDF].
  3. Long-Time Asymptotics for the Toda Lattice in the Soliton Region, with G.Teschl, [TeX | DVI | PDF].
  4. On Perturbations of Quasi-Periodic Schrödinger operators, [TeX | DVI | PDF].
  5. Effective Prüfer Angles and Relative Oscillation Criteria, with G. Teschl, [TeX | DVI | PDF].
All publications and preprints are also available at the arxiv. Search for me at ZMath.

In Preparation

  • Stability of the Periodic Toda Lattice in the Soliton Region, with G. Teschl.

Thesis

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

Helge Krüger, 2008.