This volume is based on talks given at a conference celebrating Stanislav Molchanov's 65th birthday held in June of 2005 at the Centre de Recherches Mathematiques (Montreal, QC, Canada). The meeting brought together researchers working in an exceptionally wide range of topics reflecting the quality and breadth of Molchanov's past and present research accomplishments. This collection of survey and research papers gives a glance of the profound consequences of Molchanov's contributions in stochastic differential equations, spectral theory for deterministic and random operators, localization and intermittency, mathematical physics and optics, and other topics. Information for our distributors: Titles in this series are co-published with the Centre de Recherches Mathematiques.
Transition asymptotics for reaction-diffusion in random media by G. B. Arous, S. Molchanov, and A. Ramirez Extreme value theory for random exponentials by L. V. Bogachev Singular continuous and dense point spectrum for sparse trees with finite dimensions by J. Breuer Some new estimates on the spectral shift function associated with random Schrodinger operators by J.-M. Combes, P. D. Hislop, and F. Klopp On phase transitions and limit theorems for homopolymers by M. Cranston and S. Molchanov Asymptotics of the Poincare functions by G. Derfel, P. J. Grabner, and F. Vogl Hamiltonian extension and eigenfunctions for a time dispersive dissipative string by A. Figotin and J. Schenker Localization at low energies for attractive Poisson random Schrodinger operators by F. Germinet, P. D. Hislop, and A. Klein On the influence of random perturbations on the propagation of waves described by a periodic Schrodinger operator by Y. A. Godin, S. Molchanov, and B. Vainberg Spectral theory of 1-D Schrodinger operators with unbounded potentials by A. Gordon, J. L. Holt, and S. Molchanov Fermi-Dirac generators and tests for randomness by A. Gordon, S. Molchanov, and J. Quinn The spectral problem, substitutions and iterated monodromy by R. Grigorchuk, D. Savchuk, and Z. Sunic On scattering of solitons for wave equation coupled to a particle by V. Imaykin, A. Komech, and B. Vainberg Purely absolutely continuous spectrum for some random Jacobi matrices by U. Kaluzhny and Y. Last The parabolic Anderson model and its universality classes by W. Konig An inverse problem for Gibbs fields by L. Koralov Hierarchical Anderson model by E. Kritchevski Integral representations of solutions of periodic elliptic equations by P. Kuchment Inverse spectral problems for Schrodinger operators with energy depending potentials by A. Laptev, R. Shterenberg, and V. Sukhanov Theory of point processes and some basic notions in energy level statistics by N. Minami On the law of addition of random matrices: Covariance and the central limit theorem for traces of resolvent by L. Pastur and V. Vasilchuk Green's functions of generalized Lapalcians by P. Poulin Orthogonal polynomials with exponentially decaying recursion coefficients by B. Simon Poisson statistics for eigenvalues: From random Schrodinger operators to random CMV matrices by M. Stoiciu.