Preprint No. | Author(s) | Title and publication details |
---|---|---|

IP07004 | KM Schmidt, BM Brown and M Langer | The HELP inequality on graphs of infinite volume |

IP07012 | J Bruning | The nodal count on tori |

IP07020 | M Langer and H Woracek | Dependence of the Titchmarch-Weyl coefficient on singular interface conditions |

IP07042 | H Stark, A Terras and D Newland | Zeta functions of weighted grphs and covering graphs |

IP07043 | A Terras | A stroll through the garden of graph Zeta functions |

IP07044 | A Terras, D Newland and H Stark | Zeta functions of weighted graphs and covering graphs |

IP07046 | T Kottos | Optical networks of ultracold-atoms |

IP07047 | EB Davies | Spectral properties of matrices associated with some direct graphs |

IP07048 | and P Kuchment | Inversion formulas for thermoconstic tomography |

IP07049 | S Avdonin and P Kurasov | Inverse problems on quantum trees
Inverse Problems |

IP07050 | P Kurasov and S Avdonin | Inverse problems for quantum trees Inverse Problems and Imaging |

IP07051 | P Kurasov | Schrödinger operators on graphs and geometry I essentially bounded potentials |

IP07052 | J Bolte and S Endres | The trace formula for quantum graphs with general self-adjoint boundary conditions |

IP07055 | L Boulton | On spectral pollution and the approximation of Eigenvalues of slf-adjoint operators |

IP07056 | G Rozenblioum and S Sobolev | Analysis of the spectrum of a singulary perturbed Landau operator |

IP07057 | G Rozenblioum and A Pushnitski | Eigenvalue splitting of the Landau Hamiltonian in the exterior of a compact obstacle |

IP07058 | J Harrison, P Kuchment and A Sobolev | On occurance of spectral edges for periodic operators inside the Brillouin zone J. Phys. A. 40 (2007) |

IP07059 | J Harrison, G Berkolaiko and M Noraes | Full counting statistics of chaotic cavities form classical action correlations |

IP07060 | SA Fulling, KA Milton and P Parashar- | How does Casimir Energy Full? |

IP07061 | SA Fulling, L Kaplan and JH Wilson | Vacuum energy and repulsive Casimir forces in quantum star graphs |

IP07062 | SA Fulling, P Kuchment and JH Wilson | Index theory for quantum graphs |

IP07063 | J von Below | An index theory for locally finite graphs Lin. Alg. Appl |

IP07065 | V Kostrykin, R Schrader and J Potthoft | Contraction semigroups on metric graphs |

IP07066 | V Kostrykin, F Lledō and K Makarov | The hyperfinite factor and random Schrödinger operators |

IP07067 | V Kostrykin, L Grubic and K Veselic | On the perturbation theory for indefinite quadratic forms |

IP07079 | R Frank, T Ekholm and H Kovarik | Eigenvalue estimates for Schrödinger operators on regular metric trees |

IP07080 | R Frank, A Laptev and S Molchanov | Eigenvalues estimates for magnetic Schrödinger operators in domains |

IP07081 | R Schrader, V Kostrykin and J Potthoft | Fellen processes on metric graphs |

IP07082 | R Schrader, V Kostrykin and J Potthoft | Brownian motion on star graphs |

IP07083 | R Schrader, V Kostrykin and M Schmidt | KdV equations on metric graphs |

IP07084 | A Zuk and A Lobotzky | Property tau |

IP07085 | A Zuk | Automata groups |

IP07086 | H Langer, M Langer and A Markus | The Virozus-Mebaer condition and spectrum of definite type for self-adjoint operator functions |

IP07087 | S Zhou and R Mondragon | Structural constraints in complex networks New journal of Physics |

IP07089 | M Solomyak and L Friedlander | On the spectrum of the Dirichlet Leplacian in a narrow strip Israel Journal of Mathematics |

IP07090 | M Solomyak and L Friedlander | On the Dirichlet spectrum in an infused narrow strip |

IP07095 | A Sobolev and L Parnovski | Band-gap structure of the polyharmonic operator with a 'strong' periodic perturbation |

IP07096 | A Sobolev and G Rozenblum | Discrete spectrum in the gaps of the perturbed Landau operator |

IP07099 | L Bartholdi | Algorithms for spiders |

IP07100 | L Bartholdi | Growth and Brownian motion on groups |

IP07101 | U Smilansky and A Karasik | 3D scanning technology as a standard archaeological tool for pottery analysis: practice and theory Journal of Archaeological Sciences |

IP07102 | Unknown | Periodic binary harmonic functions on lattices Advances in applied mathematics |

IP07103 | Unknown | Convolution equations in lattics in prime characteristics |

IP07104 | Unknown | Periodic harmonic functions on lattices and point count |

IP07105 | M Marletta, M Levitin and J Boulton | A PT symmetric periodic problem with boundary and interior singularities |

IP07107 | A Teplyaev and J Kigami | Gaussian heat kernel estimates on some self-affine fractals |

IP07108 | U Smilansky | Quantum chaos on discrete graphs Journal of Physics A |

IP07109 | J Kigami | Tree of resistance forms |

IP07111 | S Langdon, D Huybrechs and SN Chandler-Wilde | A fully discret collation method for high frequency scattering by convex polygons |

IP07112 | M Freidlin | Metastability in nearly Hamiltonian systems |

IP07113 | T Sunada | Crystal structures similar to the diamond crystal |

IP07114 | T Sunada | Discrete Geometric Analysis |

IP07115 | T Sunada | Discrete Abel-Jacobi maps |

IP07116 | M Levitin and L Boulton | Trends and Tricks in Spectral Theory |

IP07117 | M Levitin and M Marletta | On a PT symmetric periodic problem |

IP07118 | M Levitin, R Beuguna and L Parnovski | Eigenvalues of Laplacian and zeros of the Fourier transform |

IP07119 | M Langer, BM Brown and K-M Schmidt | The HELP inequality on trees |

IP07120 | M Langer, H Langer and A Markus | The Virozub-Matsaev condition and spectrum of definite type for self-adjoint operator functions |

IP07121 | M Langer and J Behrndt | A note on the adjoint of symmetric operator |

IP07122 | J Christiansen, BM Brown and K-M Schmidt | On the spectrum of a q-Sturn Liouville operator |

IP07123 | G Stolz, J Baker and J Bellissard | Minimising the ground state energy of an electron in a randomly deformed lattice |

IP07124 | G Stolz and R Sims | Level statistics for centinuum Anderson models |

IP07125 | S Molchanov | On the analytical continuation of random analytical functions |

IP07128 | L Friedlander and M Solomyak | On the spectrum of the Lapacian in a narrow strip |

IP07129 | L Friedlander and M Solomyak | Spectrum of the Laplacian in a narrow strip II |

IP07130 | MSP Eastham, BM Brown and IW Wood | An example on the discrete spectrum of a star graph |

IP07131 | JP Keating | Resummation and the semiclassical theory of spectral statistics |

IP07132 | WD Evans, A Balinsky and S Hundertmarit | Improved Hardy-Sobolev inequalities |

IP07133 | WD Evans, A Balinsky and Y Saito | Dirac-Sobolev embeddings and zero modes |

IP07134 | WD Evans | Spectral asymptotics of the Neumann Laplacian on rooms and passages |

IP07136 | P Kuchment, J Harrison and A Sobolev | On Occurance of spectral edges for periodic operators inside the Brillonin zone J. Phys. A: Math. Theor |

IP07137 | P Kuchment and L Kunyansky | Mathematics of thermoacoustic and photoacoustic tomography European J. Appl. Math. |

IP07138 | P Kuchment and M Agranovsky | Uniqueness of reconstruction and inversion procedure for thermoacoustic and photoacoustic tomography Inverse Problems |

IP07139 | P Kuchment and L Wang | On reconstruction formulas and algorithmns in thermoacoustic and photoacoustic tomography Chapter in book "Photoacoustic imaging and spectroscopy" |

IP07140 | P Kuchment | Periodic partial differential equations and their applications |

IP07141 | P Kuchment and G Berkolaiko | Introduction to quantum graphs |

IP07142 | P Kuchment and A Raich | Green's function estimates for periodic operators inside spectral gaps |

IP07143 | H Stark and A Terras | Zeros of zeta functions of covering graphs and the Ramanujan property |

IP07144 | P Kuchment, S Fulling and J Wilson | On index theory on quantum graphs |

IP07167 | G Berkolaiko, JM Harrison and M Novaes | Full counting statistics of chaotic cavities from classical action correlations |

IP07168 | G Berkolaiko, JM Harrison and JH Wilson | Vacuum energy on quantum graphs: dependence on the bond lengths |

IP07169 | P Exner and M Fraas | A remark on helical waveguides Physics letters A |

IP07170 | P Exner and C Cacciapuoti | Nontrivial edge coupling from Dirichlet network squeezing: the case of a bent waveguide Journal of Physics A: Math. Theory |

IP07171 | P Exner and M Fraas | On the clause point and absolutely continuous spectrum for Hamiltonians with concentric $\delta$ - shells Letters in Math. Physics |

IP07172 | P Exner and P Seba | A hybrid plane with spin orbit interaction Russian J. math. Phys. |

IP07173 | P Exner and O Post | Quantum networks modelled by graphs Proceedings of Aarhus workshop 2007 |

IP07174 | M Kelbert and Y Suhov | Asymptotic properties of Markov processes on Cayley trees Isaac Newton Institute Volume |

IP07175 | M Kelbert and Y Suhov | Models of Random Processes and Applications CUP |

IP07176 | M Kelbert, Y Suhov and G Gruell | Problem of optimal choice of new business in the large deviation regime |

IP07177 | S Warzel, M Aizenman and F Germinet | On Bernoulli decompositions for random variables, concentration counds, and spectral localization PTRF |

IP07178 | R Sims and G Stolz | Poisson statistics for one-dimensional, continuum Anderson models |

IP07179 | R Sims and B Nachtergaele | Locality in quantum spin systems |

IP07180 | A Hansson and A Laptev | Sharp spectral inequalities for the Helsenberg Laplacian |

IP07184 | I Wood, M Brown and M Eastham | An example on the discrete spectrum of a star graph |

IP07186 | S Novikov | Dynamical systems and differential forms. Low dimensional systems |

IP07226 | V Smyshlyaev and P Kuchment | Slowing down and transmission of waves in high contrast periodic media via "non-classical homogenization Proceedings of Waves, 2007, the 8th international conference on mathematical and numerical aspects of waves |

IP07296 | SA Fulling, KA Milton and P Parashar | How does Casimir energy fall? Physical Review AD 76 |

IP07297 | SA Fulling, L Kaplan and JH Wilson | Vacuum energy and repulsive Casimir forces in quantum star graphs Physical Review A 76 |

IP07298 | SA Fulling, P Kuchment and JH Wilson | Index theory for quantum graphs Journal of Physics A |

IP07302 | A Laptev and A Hansson | Sharp spectral inequalities for a class of hypoelliptic operators Proceedings of H. Weyl conference in Bielefeld 2006, Cambridge University Press |

IP07305 | S Yuri and V Chulaevsky | Wegner bounds for a two-particle tight binding model Communications in Mathematical Physics |

IP07333 | Z Sunik and R Grigorchuk | Schreier spectrum of the Hanoi Towers group on three pegs |