## ESF Scientific Program## Spectral Theory and Partial Differential Equations (SPECT) |

**Preprints 2002-2003**

Mikail Sh. Birman and Michael Solomyak | Lectures on Double Operator Integrals [pdf] |

Virginie Bonnaillie | On the fundamental state for a Schrödinger operator with magnetic field in domains with corners [pdf] |

Fernando Cardoso and Georgi Vodev | High frequency resolvent estimates and energy decay of solutions to the wave equation [pdf] |

Sagun Chanillo, Bernard Helffer and Ari Laptev |
Non linear eigenvalues and analytic hypoellipticity [pdf] |

Horia D. Cornean, Ira Herbst and Erik Skibsted |
Spiraling attractors and quantum dynamics for a class of long-range magnetic fields [pdf] |

David Damanik and Rowan Killip | Half-line Schrodinger Operators With No Bound States [pdf] |

David Damanik, Robert Sims and Gunter Stolz |
Localization for discrete one dimensional random word models [pdf] |

Nils Dencker | The resolution of the Nirenberg-Treves conjecture [pdf] |

Alexander Fedotov and Frédéric Klopp | Geometric tools of the adiabatic complex WKB method [pdf] |

Alexander Fedotov and Frédéric Klopp | On the singular spectrum for adiabatic quasi-periodic Schrödinger operators on the real line [pdf] |

S.Fournais, M. Hoffmann-Ostenhof, Th. Hoffmann-Ostenhof and Sřrensen T. Řstergaard |
Analyticity of the density of electronic wavefunctions [pdf] |

P. Gilkey, K. Kirsten and D. Vassilevich | Divergence terms in the supertrace heat asymptotics for the de Rham complex on a manifold with boundary [pdf] |

P. Gilkey, K. Kirsten and D. Vassilevich | Supertrace divergence terms for the Witten Laplacian [pdf] |

Bernard Helffer and Thomas Hoffmann-Ostenhof |
Spectral Theory for periodic Schrödinger operators with reflecting symmetries [pdf] |

Bernard Helffer | Remarks on Floquet eigenvalues in the semi-classical regime [pdf] |

Evgeni Korotyaev and Alexander Pushnitski |
On the high energy asymptotics of the integrated density of states [pdf] |

Peter Kuchment and BengSeong Ong | On guided waves in photonic crystal waveguides [pdf] |

Pär Kurlberg and Zeev Rudnick | On the distribution of matrix elements for the quantum cat map [pdf] |

Ari Laptev Ari, Sergei Naboko and Oleg Safronov |
A Szegö condition for a multidimensional Schrödinger operator [pdf] |

M. Melgaard, E.-M. Ouhabaz and G. Rozenblum |
Lieb-Thirring inequality for the Aharonov-Bohm Hamiltonian and eigenvalue estimates [pdf] |

Alberto Parmeggiani | A class of counterexamples to the Fefferman-Phong inequality [pdf] |

Alberto Parmeggiani | On the Spectrum and the Lowest Eigenvalue of Certain Non-Commutative Harmonic Oscillators [pdf] |

Seeley Robert | Heat kernel expansion in the case of conic singularities [pdf] |

Roman Shterenberg | Absolute continuity of spectra of two-dimensional periodic Schrödinger operators with strongly subordinate magnetic potentials [pdf] |

Michael Solomyak | On the spectrum of the Laplacian on regular metric trees [pdf] |

Tatyana Suslina | On discrete spectrum in the gaps of a two-dimensional periodic elliptic operator perturbed by a decaying potential [pdf] |

Ping Wang Xue | On the existence of the N-body Efimov effect [pdf] |

Dimitri Yafaev | Scattering matrix for magnetic potentials with Coulomb decay at infinity [pdf] |

Latest update: 2005-09-01

Created by:Marie Lundin