Softcover ISBN:  9780821840894 
Product Code:  CRMP/42 
List Price:  $140.00 
MAA Member Price:  $126.00 
AMS Member Price:  $112.00 
eBook ISBN:  9781470439569 
Product Code:  CRMP/42.E 
List Price:  $140.00 
MAA Member Price:  $126.00 
AMS Member Price:  $112.00 
Softcover ISBN:  9780821840894 
eBook: ISBN:  9781470439569 
Product Code:  CRMP/42.B 
List Price:  $280.00 $210.00 
MAA Member Price:  $252.00 $189.00 
AMS Member Price:  $224.00 $168.00 
Softcover ISBN:  9780821840894 
Product Code:  CRMP/42 
List Price:  $140.00 
MAA Member Price:  $126.00 
AMS Member Price:  $112.00 
eBook ISBN:  9781470439569 
Product Code:  CRMP/42.E 
List Price:  $140.00 
MAA Member Price:  $126.00 
AMS Member Price:  $112.00 
Softcover ISBN:  9780821840894 
eBook ISBN:  9781470439569 
Product Code:  CRMP/42.B 
List Price:  $280.00 $210.00 
MAA Member Price:  $252.00 $189.00 
AMS Member Price:  $224.00 $168.00 

Book DetailsCRM Proceedings & Lecture NotesVolume: 42; 2007; 475 ppMSC: Primary 60; 35;
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.
ReadershipGraduate students and research mathematicians interested in Molchanov's work.

Table of Contents

Chapters

Transition asymptotics for reactiondiffusion in random media

Extreme value theory for random exponentials

Singular continuous and dense point spectrum for sparse trees with finite dimensions

Some new estimates on the spectral shift function associated with random Schrödinger operators

On phase transitions and limit theorems for homopolymers

Asymptotics of the Poincaré functions

Hamiltonian extension and eigenfunctions for a time dispersive dissipative string

Localization at low energies for attractive Poisson random Schrödinger operators

On the influence of random perturbations on the propagation of waves described by a periodic Schrödinger operator

Spectral theory of 1D Schrödinger operators with unbounded potentials

FermiDirac generators and tests for randomness

The spectral problem, substitutions and iterated monodromy

On scattering of solitons for wave equation coupled to a particle

Purely absolutely continuous spectrum for some random Jacobi matrices

The parabolic Anderson model and its universality classes

An inverse problem for Gibbs fields

Hierarchical Anderson model

Integral representations of solutions of periodic elliptic equations

Inverse spectral problems for Schrödinger operators with energy depending potentials

Theory of point processes and some basic notions in energy level statistics

On the law of addition of random matrices: Covariance and the central limit theorem for traces of resolvent

Green’s functions of generalized Lapalcians

Orthogonal polynomials with exponentially decaying recursion coefficients

Poisson statistics for eigenvalues: From random Schrödinger operators to random CMV matrices


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

Chapters

Transition asymptotics for reactiondiffusion in random media

Extreme value theory for random exponentials

Singular continuous and dense point spectrum for sparse trees with finite dimensions

Some new estimates on the spectral shift function associated with random Schrödinger operators

On phase transitions and limit theorems for homopolymers

Asymptotics of the Poincaré functions

Hamiltonian extension and eigenfunctions for a time dispersive dissipative string

Localization at low energies for attractive Poisson random Schrödinger operators

On the influence of random perturbations on the propagation of waves described by a periodic Schrödinger operator

Spectral theory of 1D Schrödinger operators with unbounded potentials

FermiDirac generators and tests for randomness

The spectral problem, substitutions and iterated monodromy

On scattering of solitons for wave equation coupled to a particle

Purely absolutely continuous spectrum for some random Jacobi matrices

The parabolic Anderson model and its universality classes

An inverse problem for Gibbs fields

Hierarchical Anderson model

Integral representations of solutions of periodic elliptic equations

Inverse spectral problems for Schrödinger operators with energy depending potentials

Theory of point processes and some basic notions in energy level statistics

On the law of addition of random matrices: Covariance and the central limit theorem for traces of resolvent

Green’s functions of generalized Lapalcians

Orthogonal polynomials with exponentially decaying recursion coefficients

Poisson statistics for eigenvalues: From random Schrödinger operators to random CMV matrices