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

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Authors Title Attachments
D Grieser Spectra of graph neighborhoods and scattering PDF icon ni09010.pdf
D Grieser Thin tubes in mathematical physics, global analysis and spectral geometry PDF icon ni09009.pdf
D Grieser Monotone unitary families PDF icon ni09008.pdf
MJ Gruber; DH Lenz; I Veselić Uniform existence of the integrated density of states for combinatorial and metric graphs over ${\mathbb Z}^d$ PDF icon ni08009.pdf
MJ Gruber; M Helm; I Veselić Optimal Wegner estimates for random Schrödinger operators on metric graphs PDF icon ni08007.pdf
R Sims; G Stolz Eigenvalue correlations in continuum one-dimensional Anderson models PDF icon ni07100.pdf
MD Horton; HM Stark; AA Terras Zeta functions of weighted graphs and covering graphs PDF icon ni07064.pdf
J Brüning; B Pavlov On calculation of Kirchhoff coefficients for Helmholtz resonator PDF icon ni07060.pdf
JM Harrison; U Smilansky; B Winn Quantum graphs where back-scattering is prohibited PDF icon ni07059.pdf
SA Fulling; P Kuchment; JH Wilson Index theorems for quantum graphs PDF icon ni07058.pdf
J Baker; M Loss; G Stolz Minimizing the ground state energy of an electron in a randomly deformed lattice PDF icon ni07057.pdf
MJ Gruber; I Veselić The modulus of continuity of Wegner estimates for random Schrödinger operators on metric graphs PDF icon ni07056.pdf
T Antunović; I Veselić Sharpness of the phase transition and exponential decay of the subcritical cluster size PDF icon ni07048.pdf
JH Wilson Vacuum energy in quantum graphs PDF icon ni07047.pdf
M Aizenman; F Germinet; A Klein; S Warzel On Bernoulli decompositions for random variables, concentration bounds, and spectral localization PDF icon ni07043.pdf
T Sunada Crystals that nature might miss creating PDF icon ni07042.pdf
B Steinhurst; A Teplyaev; et al Vibration modes of 3n-gaskets and other fractals PDF icon ni07041.pdf
T Antunović; I Veselić Equality of Lifshitz and Van Hove exponents on amenable Cayley graphs PDF icon ni07039.pdf
A Karasik; U Smilansky 3D scanning technology as a standard archaeological tool for pottery analysis: practice and theory PDF icon ni07038.pdf
L Friedlander; M Solomyak On the spectrum of the Dirichlet Laplacian in a narrow strip PDF icon ni07036.pdf
U Smilansky Quantum chaos on discrete graphs PDF icon ni07034.pdf
C Bennewitz; BM Brown; R Weikard Inverse spectral and scattering theory for the half-line left definite Sturm-Liouville problem PDF icon ni07030.pdf
IA Semenikhin; BS Pavlov; VI Ryzhii Plasma waves in two-dimensional electron channels: propagation and trapped modes PDF icon ni07028.pdf
L Petrova; B Pavlov The problem of fitting of the zero-range model of the tectonic plate under a localized boundary stress PDF icon ni07027.pdf
J von Below An index theory for uniformly locally finite graphs PDF icon ni07025.pdf
SA Fulling; L Kaplan; JH Wilson Vacuum energy and repulsive Casimir forces in quantum star graphs PDF icon ni07023.pdf
S Avdonin; P Kurasov Inverse problems for quantum trees PDF icon ni07022.pdf
P Kuchment; L Kunyansky Mathematics of thermoacoustic and photoacoustic tomography PDF icon ni07021.pdf
MJ Gruber; DH Lenz; I Veselić Uniform existence of the integrated density of states for random Schrödinger operators on metric graphs over ${\mathbb Z}^d$ PDF icon ni07020.pdf
SN Oshepkova; OM Penkin The maximum principle for elliptic inequalities on stratified sets PDF icon ni07019.pdf
T Antunović; I Veselić Spectral asymptotics of percolation Hamiltonians on amenable Cayley graphs File ni07018.dvi
M Helm; I Veselić A linear Wegner estimate for alloy type Schrödinger operators on metric graphs File ni07017.dvi
A Adamyan; B Pavlov; A Yafyasov Modified Krein formula and analytic perturbation procedure for scattering on arbitrary junction PDF icon ni07016.pdf
J Harrison; P Kuchment; A Sobolev; et al On occurrence of spectral edges for periodic operators inside the Brillouin zone PDF icon ni07006.pdf
University of Cambridge Research Councils UK
    Clay Mathematics Institute The Leverhulme Trust London Mathematical Society Microsoft Research NM Rothschild and Sons