Olaf Post

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Institut für Reine und Angewandte Mathematik
RWTH Aachen

In preparation:

• Exponential localization on radial tree-like quantum graphs (joint work with Peter Hislop, University of Kentucky,)
• Continuity Properties of the Integrated Density of States on Manifolds (joint work with Daniel Lenz, TU Chemnitz, Norbert Peyerimhoff, University of Durham and Ivan Veselic, TU Chemnitz)
• Spectral gaps of the Laplacian on forms (joint work with Gilles Carron and Colette Anné, Université de Nantes)

Preprints: (see also at arXiv)

Preprints

• Spectral convergence of non-compact quasi-one-dimensional spaces (PostScript file.gz booklet (print it on a usual double side printer, try it!) (300 kB) PostScript file (690 kB), compressed PostScript file.gz (297 kB), pdf file (336 kB), arXiv math-ph/0512081, mparc 06-10)
• Existence of spectral gaps, covering manifolds and residually finite groups (joint work with Fernando Lledó, RWTH-Aachen) (PostScript file.gz booklet (print it on a usual double side printer, try it!) (269 kB) PostScript file (596 kB), compressed PostScript file.gz (267 kB), pdf file (289 kB), arXiv math-ph/0503005, mparc 05-245)
• Branched quantum wave guides with Dirichlet boundary conditions: the decoupling case, (Journal of Physics A, Vol. 38, 4917-4931 (2005)) (PostScript file.gz booklet (print it on a usual double side printer, try it!) (192 kB) PostScript file (433 kB), compressed PostScript file.gz (192 kB), pdf file (182 kB), arXiv math-ph/0502014, mparc 05-47)
• Generating spectral gaps by geometry (joint work with Fernando Lledó, RWTH-Aachen) (PostScript file (273 kB), compressed PostScript file.gz (111 kB), pdf file (269 kB), arXiv math-ph/0406032, mparc 05-244)
• Convergence of spectra of graph-like thin manifolds (joint work with Pavel Exner, Prague) (Journal of Geometry and Physics, Vol. 54, 77-115, (2005)) (PostScript file (526 kB), compressed PostScript file.gz (194 kB), pdf file (445 kB), arXiv math-ph/0312028, mparc 03-533)
• Eigenvalues in Spectral Gaps of a Perturbed Periodic Manifold Mathematische Nachrichten, Vol. 261-262, 141-162 (2003), (PostScript file (420 kB), compressed PostScript file.gz (159 kB), pdf file (358 kB), arXiv math-ph/0207018, mparc 02-309)
• Spectral Gaps for Periodic Elliptic Operators with High Contrast: an Overview (joint work with Rainer Hempel, Braunschweig), Progress in Analysis, Proceedings of the 3rd International ISAAC Congress Berlin 2001, Vol. 1, 577-587, (2003) (PostScript file (359 kB) compressed PostScript file.gz (84 kB), pdf file (195 kB), arXiv math-ph/0207020, mparc 02-310)
• Periodic Manifolds with Spectral Gaps (Journal of Differential Equations 187 (2003), 23-45) (PostScript file (339 kB) compressed PostScript file.gz (133 kB), pdf file (329 kB), arXiv math-ph/0207017, mparc 02-308)
• Periodic Manifolds, Spectral Gaps, and Eigenvalues in Gaps (in Operator Theory, Advances and Applications, Vol. 126, 251-260 (2001), PDE 2000 Conference in Clausthal, Germany) (PostScript file (212 kB) compressed PostScript file.gz (88 kB), pdf file (212 kB))
• Periodic Manifolds, Spectral Gaps, and Eigenvalues in Gaps (Doctoral Thesis), Braunschweig, 2000 (PostScript file (1.5 MB) compressed PostScript file.gz (517 kB), pdf file (945 kB)), advisor Rainer Hempel
• An application of the extension theorem of Whitney to Magnetic Schrödinger Operators (Diploma thesis in German),  Braunschweig, 1996 (PostScript file (2781 kB), compressed PostScript file.gz (485 kB)) advisor  Rainer Hempel

last edited: 2005-07-15