Olaf Post
In preparation:
Preprints: (see also at arXiv)
(All papers may be downloaded for private use only!)
Preprints (submitted)
Journal articles (published)
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Approximation of quantum graph vertex couplings by scaled
Schrödinger operators on thin branched manifolds
(joint work with Pavel Exner, Prague)
(to appear in Journal of Physics A)
(PostScript
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arXiv arXiv:0811.3707)
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First order approach and index theorems for discrete and metric graphs
(to appear in Ann. Heni Poincaré)
(PostScript
file.gz booklet (print it on a usual double side printer, try it!)
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arXiv arXiv:0708.3707)
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Continuity of the integrated density of states on random length
metric graphs (joint work with
Daniel Lenz, Uni Jena,
Norbert Peyerimhoff, University of Durham and
Ivan
Veselic, TU Chemnitz)
(PostScript
file.gz booklet (print it on a usual double side printer, try it!)
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arXiv arXiv:0811.4513)
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Anderson Localization for radial tree-like random quantum graphs
(joint work with
Peter Hislop, University of Kentucky)
(to appear in Waves in Random and Complex Media
(PostScript
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arXiv math-ph/0611022)
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Eigenvalue bracketing for discrete and metric graphs (joint work with Fernando
Lledó,
RWTH-Aachen)
(to appear in Journal of Mathematical Analysis and Applications
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arXiv arXiv:0804.1076)
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Gaps in the differential forms spectrum on cyclic coverings (joint work with
Gilles Carron and
Colette Anné, Université de Nantes)
(to appear in Mathematische Zeitschrift)
(PostScript
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arXiv arXiv:0708.3981)
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Continuity Properties of the Integrated Density of States on
Manifolds (joint work with
Daniel Lenz, Uni Jena,
Norbert Peyerimhoff, University of Durham and
Ivan
Veselic, TU Chemnitz)
(Japanese Journal of Mathematics (3rd series), 3, 121--161, 2008)
(PostScript
file.gz booklet (print it on a usual double side printer, try it!)
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arXiv arXiv:0705.1079)
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Equilateral quantum graphs and boundary triples (to appear in:
Analysis on Graphs and its Applications, AMS Proc. Symp. in Pure
Math. Analysis on Graphs
and Applications) (PostScript file.gz booklet
(print it on a usual double side printer, try it!) PostScript file , compressed PostScript file.gz, pdf file, arXiv arXiv:0712.1501)
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Existence of spectral gaps, covering manifolds and residually
finite groups (joint work with Fernando
Lledó,
RWTH-Aachen)
(Rev. Math. Phys., 20, 199--231, 2008)
(PostScript
file.gz booklet (print it on a usual double side printer, try it!)
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arXiv math-ph/0503005,
mparc 05-245)
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First order operators and boundary triples
(Russ. J. Math. Phys., Vol. 14,
482--492, 2007, in memoriam Vladimir A. Geyler)
(PostScript
file.gz booklet (print it on a usual double side printer, try it!)
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arXiv arXiv:0711.2218)
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Convergence of resonances on thin branched quantum wave guides
(joint work with Pavel Exner, Prague)
(Journal of Math. Phys., Vol. 48,
092104+43 (2007)) (PostScript
file.gz booklet (print it on a usual double side printer, try it!)
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arXiv math-ph/0702075)
mparc 07-46)
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On the spectra of carbon nano-structures (Communications in
Mathematical Physics, Vol. 275,
805--826, 2007) (joint work with Peter Kuchment, Texas
A&M University) (PostScript file.gz booklet
(print it on a usual double side printer, try it!) PostScript file , compressed PostScript file.gz, pdf file, arXiv math-ph/0612021)
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Spectral convergence of non-compact quasi-one-dimensional spaces
(Ann. Heni Poincaré, Vol. 7,
933--973 (2006)) (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)
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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)
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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)
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Eigenvalues in Spectral Gaps of a Perturbed Periodic Manifold
Mathematische
Nachrichten, Vol. 261-262, 141-162 (2003), (PostScript
file (420 kB), compressed
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file.gz (159 kB),
pdf
file (358 kB),
arXiv math-ph/0207018,
mparc 02-309)
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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)
Monographs and contributions to books
Proceedings
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Generalised discrete Laplacians on graphs and their relation to
quantum graphs
(in Ulmer Seminare, vol. 13, 145-173 (2008), Blaubeuren, Germany) (PostScript
file compressed PostScript
file.gz, pdf file)
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Quantum networks modelled by graphs
(joint work with Pavel Exner, Prague)
(to appear in the proceedings of the Workshop on Quantum Few-Body Systems, Aarhus )
(PostScript
file.gz booklet (print it on a usual double side printer, try it!)
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arXiv arXiv:0706.0481)
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Generating spectral gaps by geometry
(joint work with Fernando
Lledó,
RWTH-Aachen)
(Contemporary Mathematics 437, 159--169 (2007))
((PostScript
file (273 kB), compressed PostScript
file.gz (111 kB),
pdf
file (269 kB),
arXiv math-ph/0406032,
mparc 05-244)
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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)
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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))
Others
last edited: 2010-10-01
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