**CRM Proceedings & Lecture Notes**

Volume: 42;
2007;
475 pp;
Softcover

MSC: Primary 60; 35;

Print ISBN: 978-0-8218-4089-4

Product Code: CRMP/42

List Price: $133.00

Individual Member Price: $106.40

**Electronic ISBN: 978-1-4704-3956-9
Product Code: CRMP/42.E**

List Price: $133.00

Individual Member Price: $106.40

# Probability and Mathematical Physics: A Volume in Honor of Stanislav Molchanov

Share this page *Edited by *
*Donald A. Dawson; Vojkan Jakšić; Boris Vainberg*

A co-publication of the AMS and Centre de Recherches Mathématiques

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.

Titles in this series are co-published with the Centre de Recherches Mathématiques.

#### Table of Contents

# Table of Contents

## Probability and Mathematical Physics: A Volume in Honor of Stanislav Molchanov

- Cover Cover11
- Title page iii4
- Contents v6
- Preface vii8
- Stanislav Molchanov ix10
- Transition asymptotics for reaction-diffusion in random media 112
- Extreme value theory for random exponentials 4152
- Singular continuous and dense point spectrum for sparse trees with finite dimensions 6576
- Some new estimates on the spectral shift function associated with random Schrödinger operators 8596
- On phase transitions and limit theorems for homopolymers 97108
- Asymptotics of the Poincaré functions 113124
- Hamiltonian extension and eigenfunctions for a time dispersive dissipative string 131142
- Localization at low energies for attractive Poisson random Schrödinger operators 153164
- On the influence of random perturbations on the propagation of waves described by a periodic Schrödinger operator 167178
- Spectral theory of 1-D Schrödinger operators with unbounded potentials 181192
- Fermi-Dirac generators and tests for randomness 199210
- The spectral problem, substitutions and iterated monodromy 225236
- On scattering of solitons for wave equation coupled to a particle 249260
- Purely absolutely continuous spectrum for some random Jacobi matrices 273284
- The parabolic Anderson model and its universality classes 283294
- An inverse problem for Gibbs fields 299310
- Hierarchical Anderson model 309320
- Integral representations of solutions of periodic elliptic equations 323334
- Inverse spectral problems for Schrödinger operators with energy depending potentials 341352
- Theory of point processes and some basic notions in energy level statistics 353364
- On the law of addition of random matrices: Covariance and the central limit theorem for traces of resolvent 399410
- Green’s functions of generalized Lapalcians 417428
- Orthogonal polynomials with exponentially decaying recursion coefficients 453464
- Poisson statistics for eigenvalues: From random Schrödinger operators to random CMV matrices 465476
- Back Cover Back Cover1490

#### Readership

Graduate students and research mathematicians interested in Molchanov's work.