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| Address: |
Helge Krüger
Department of Mathematics-- MS 136, Rice University
6100 S. Main St., Houston TX 77005-1892
USA
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| 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.
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Upcoming Events
- May 18 - 21, 2008:
AIMS,
Arlington, TX.
Special Session:
Dynamical Systems and Spectral Theory.
- May 25 - 30, 2008:
Low Complexity Dynamics,
Banff, Canada.
- June 15 - 22, 2008:
Operator Theory and Mathematical Physics, Bedlewo, Poland.
- July 21 - 31, 2008:
Summer school on Current topics in Mathematical Physics,
Erwin Schrödringer Institute,
Vienna, Austria.
Publications
- 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].
Preprints
-
Long-Time Asymptotics of the Toda Lattice for Decaying Initial Data Revisited,
with G.Teschl,
[TeX |
DVI |
PDF].
- Almost Periodic Szegö
Cocycles with Uniformly
Positive Lyapunov Exponents,
with D.Damanik,
[TeX |
DVI |
PDF].
- Long-Time Asymptotics for the
Toda
Lattice in the Soliton Region,
with G.Teschl,
[TeX |
DVI |
PDF].
- On Perturbations of
Quasi-Periodic
Schrödinger operators,
[TeX |
DVI |
PDF].
- 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]
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Helge Krüger, 2008.
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