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# Preprints

This page lists the preprints associated with this programme only.
A full list is also available, with details of how to submit relevant papers and how to acknowledge INI.

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Authors Title Attachments
D Grieser Spectra of graph neighborhoods and scattering
D Grieser Thin tubes in mathematical physics, global analysis and spectral geometry
D Grieser Monotone unitary families
MJ Gruber; DH Lenz; I Veselić Uniform existence of the integrated density of states for combinatorial and metric graphs over ${\mathbb Z}^d$
MJ Gruber; M Helm; I Veselić Optimal Wegner estimates for random Schrödinger operators on metric graphs
R Sims; G Stolz Eigenvalue correlations in continuum one-dimensional Anderson models
MD Horton; HM Stark; AA Terras Zeta functions of weighted graphs and covering graphs
J Brüning; B Pavlov On calculation of Kirchhoff coefficients for Helmholtz resonator
JM Harrison; U Smilansky; B Winn Quantum graphs where back-scattering is prohibited
SA Fulling; P Kuchment; JH Wilson Index theorems for quantum graphs
J Baker; M Loss; G Stolz Minimizing the ground state energy of an electron in a randomly deformed lattice
MJ Gruber; I Veselić The modulus of continuity of Wegner estimates for random Schrödinger operators on metric graphs
T Antunović; I Veselić Sharpness of the phase transition and exponential decay of the subcritical cluster size
JH Wilson Vacuum energy in quantum graphs
M Aizenman; F Germinet; A Klein; S Warzel On Bernoulli decompositions for random variables, concentration bounds, and spectral localization
T Sunada Crystals that nature might miss creating
B Steinhurst; A Teplyaev; et al Vibration modes of 3n-gaskets and other fractals
T Antunović; I Veselić Equality of Lifshitz and Van Hove exponents on amenable Cayley graphs
A Karasik; U Smilansky 3D scanning technology as a standard archaeological tool for pottery analysis: practice and theory
L Friedlander; M Solomyak On the spectrum of the Dirichlet Laplacian in a narrow strip
U Smilansky Quantum chaos on discrete graphs
C Bennewitz; BM Brown; R Weikard Inverse spectral and scattering theory for the half-line left definite Sturm-Liouville problem
IA Semenikhin; BS Pavlov; VI Ryzhii Plasma waves in two-dimensional electron channels: propagation and trapped modes
L Petrova; B Pavlov The problem of fitting of the zero-range model of the tectonic plate under a localized boundary stress
J von Below An index theory for uniformly locally finite graphs
SA Fulling; L Kaplan; JH Wilson Vacuum energy and repulsive Casimir forces in quantum star graphs
S Avdonin; P Kurasov Inverse problems for quantum trees
P Kuchment; L Kunyansky Mathematics of thermoacoustic and photoacoustic tomography
MJ Gruber; DH Lenz; I Veselić Uniform existence of the integrated density of states for random Schrödinger operators on metric graphs over ${\mathbb Z}^d$
SN Oshepkova; OM Penkin The maximum principle for elliptic inequalities on stratified sets
T Antunović; I Veselić Spectral asymptotics of percolation Hamiltonians on amenable Cayley graphs
M Helm; I Veselić A linear Wegner estimate for alloy type Schrödinger operators on metric graphs
A Adamyan; B Pavlov; A Yafyasov Modified Krein formula and analytic perturbation procedure for scattering on arbitrary junction
J Harrison; P Kuchment; A Sobolev; et al On occurrence of spectral edges for periodic operators inside the Brillouin zone