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 Mathématiques (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.
Series Statement
CRM proceedings & lecture notes, 1065-8580 ; v. 42
Transition asymptotics for reaction-diffusion in random media / G.B. Arous, S. Molchanov, and A. Ramirez -- Extreme value theory for random exponentials / L.V. Bogachev -- Singular continuous and dense point spectrum for sparse trees with finite dimensions / J. Breuer -- Some new estimates on the spectral shift function associated with random Schrodinger operators / J.-M. Combes, P.D. Hislop, and F. Klopp -- On phase transitions and limit theorems for homopolymers / M. Cranston and S. Molchanov -- Asymptotics of the Poincare functions / G. Derfel, P.J. Grabner, and F. Vogl -- Hamiltonian extension and eigenfunctions for a time dispersive dissipative string / A. Figotin and J. Schenker -- Localization at low energies for attractive Poisson random Schrödinger operators / 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 / Y.A. Godin, S. Molchanov, and B. Vainberg --^
Spectral theory of 1-D Schrödinger operators with unbounded potentials / A. Gordon, J.L. Holt, and S. Molchanov -- Fermi-Dirac generators and tests for randomness / A. Gordon, S. Molchanov, and J. Quinn -- The spectral problem, substitutions and iterated monodromy / R. Grigorchuk, D. Savchuk, and Z. Sunic -- On scattering of solitons for wave equation coupled to a particle / V. Imaykin, A. Komech, and B. Vainberg -- Purely absolutely continuous spectrum for some random Jacobi matrices / U. Kaluzhny and Y. Last -- The parabolic Anderson model and its universality classes / W. Konig -- An inverse problem for Gibbs fields / L. Koralov -- Hierarchical Anderson model / E. Kritchevski -- Integral representations of solutions of periodic elliptic equations / P. Kuchment -- Inverse spectral problems for Schrodinger operators with energy depending potentials / A. Laptev, R. Shterenberg, and V. Sukhanov Theory of point processes and some basic notions in energy level statistics / N. Minami --^
On the law of addition of random matrices: Covariance and the central limit theorem for traces of resolvent / L. Pastur and V. Vasilchuk -- Green's functions of generalized Lapalcians / P. Poulin -- Orthogonal polynomials with exponentially decaying recursion coefficients / B. Simon -- Poisson statistics for eigenvalues: From random Schrodinger operators to random CMV matrices / M. Stoiciu.