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Probability and Mathematical Physics: A Volume in Honor of Stanislav Molchanov
 
Edited by: Donald A. Dawson Carleton University, Ottawa, ON, Canada
Vojkan Jakšić McGill University, Montréal, QC, Canada
Boris Vainberg University of North Carolina, Charlotte, Charlotte, NC
A co-publication of the AMS and Centre de Recherches Mathématiques
Probability and Mathematical Physics
Softcover ISBN:  978-0-8218-4089-4
Product Code:  CRMP/42
List Price: $140.00
MAA Member Price: $126.00
AMS Member Price: $112.00
eBook ISBN:  978-1-4704-3956-9
Product Code:  CRMP/42.E
List Price: $140.00
MAA Member Price: $126.00
AMS Member Price: $112.00
Softcover ISBN:  978-0-8218-4089-4
eBook: ISBN:  978-1-4704-3956-9
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
Probability and Mathematical Physics
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Probability and Mathematical Physics: A Volume in Honor of Stanislav Molchanov
Edited by: Donald A. Dawson Carleton University, Ottawa, ON, Canada
Vojkan Jakšić McGill University, Montréal, QC, Canada
Boris Vainberg University of North Carolina, Charlotte, Charlotte, NC
A co-publication of the AMS and Centre de Recherches Mathématiques
Softcover ISBN:  978-0-8218-4089-4
Product Code:  CRMP/42
List Price: $140.00
MAA Member Price: $126.00
AMS Member Price: $112.00
eBook ISBN:  978-1-4704-3956-9
Product Code:  CRMP/42.E
List Price: $140.00
MAA Member Price: $126.00
AMS Member Price: $112.00
Softcover ISBN:  978-0-8218-4089-4
eBook ISBN:  978-1-4704-3956-9
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 Details
     
     
    CRM Proceedings & Lecture Notes
    Volume: 422007; 475 pp
    MSC: 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.

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

    Readership

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

  • Table of Contents
     
     
    • Chapters
    • Transition asymptotics for reaction-diffusion 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 1-D Schrödinger operators with unbounded potentials
    • Fermi-Dirac 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
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 422007; 475 pp
MSC: 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.

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

Readership

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

  • Chapters
  • Transition asymptotics for reaction-diffusion 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 1-D Schrödinger operators with unbounded potentials
  • Fermi-Dirac 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
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.