Hardcover ISBN:  9780821841020 
Product Code:  ADVSOV/3 
List Price:  $179.00 
MAA Member Price:  $161.10 
AMS Member Price:  $143.20 
eBook ISBN:  9781470445508 
Product Code:  ADVSOV/3.E 
List Price:  $179.00 
MAA Member Price:  $161.10 
AMS Member Price:  $143.20 
Hardcover ISBN:  9780821841020 
eBook: ISBN:  9781470445508 
Product Code:  ADVSOV/3.B 
List Price:  $358.00 $268.50 
MAA Member Price:  $322.20 $241.65 
AMS Member Price:  $286.40 $214.80 
Hardcover ISBN:  9780821841020 
Product Code:  ADVSOV/3 
List Price:  $179.00 
MAA Member Price:  $161.10 
AMS Member Price:  $143.20 
eBook ISBN:  9781470445508 
Product Code:  ADVSOV/3.E 
List Price:  $179.00 
MAA Member Price:  $161.10 
AMS Member Price:  $143.20 
Hardcover ISBN:  9780821841020 
eBook ISBN:  9781470445508 
Product Code:  ADVSOV/3.B 
List Price:  $358.00 $268.50 
MAA Member Price:  $322.20 $241.65 
AMS Member Price:  $286.40 $214.80 

Book DetailsAdvances in Soviet MathematicsVolume: 3; 1991; 254 ppMSC: Primary 15; 34; 60; 70; 81; 82; Secondary 58;
Dynamical systems and statistical mechanics have been developing in close interaction during the past decade, and the papers in this book attest to the productiveness of this interaction.
The first paper in the collection contains a new result in the theory of quantum chaos, a burgeoning line of inquiry that combines mathematics and physics and is likely in time to produce many new connections and applications. Another paper, related to the renormalization group method for the study of maps of the circle with singularities due to a jump in the derivative, demonstrates that the fixed point of the renormgroup can be sufficiently described in this case. In certain situations, the renormgroup methods work better than the traditional KAM method.
Other topics covered include thermodynamic formalism for certain infinitedimensional dynamical systems, numerical simulation of dynamical systems with hyperbolic behavior, periodic points of holomorphic maps, the theory of random media, statistical properties of the leading eigenvalue in matrix ensembles of large dimension, spectral properties of the onedimensional Schrödinger operator. This volume will appeal to many readers, as it covers a broad range of topics and presents a view of the some of the frontier research in the Soviet Union today.

Table of Contents

Articles

M. Blank  Phase space discretization in chaotic dynamical systems

V. Girko  $G$consistent estimates of eigenvalues and eigenvectors of matrices

K. Khanin and E. Vul  Circle homeomorphisms with weak discontinuities

D. Kosygin  Multidimensional KAM theory from the renormalization group viewpoint

G. Levin  Symmetries on a Julia set

M. Missarov  Renormalization group and renormalization theory in padic and adelic scalar models

Ya. Pesin and Ya. Sinai  Spacetime chaos in chains of weakly interacting hyperbolic mappings

Ya. Sinai  Poisson distribution in a geometric problem

S. Zhitomirskaya  Singular spectral properties of a onedimensional Schrödinger operator with almost periodic potential


RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
 Book Details
 Table of Contents
 Requests
Dynamical systems and statistical mechanics have been developing in close interaction during the past decade, and the papers in this book attest to the productiveness of this interaction.
The first paper in the collection contains a new result in the theory of quantum chaos, a burgeoning line of inquiry that combines mathematics and physics and is likely in time to produce many new connections and applications. Another paper, related to the renormalization group method for the study of maps of the circle with singularities due to a jump in the derivative, demonstrates that the fixed point of the renormgroup can be sufficiently described in this case. In certain situations, the renormgroup methods work better than the traditional KAM method.
Other topics covered include thermodynamic formalism for certain infinitedimensional dynamical systems, numerical simulation of dynamical systems with hyperbolic behavior, periodic points of holomorphic maps, the theory of random media, statistical properties of the leading eigenvalue in matrix ensembles of large dimension, spectral properties of the onedimensional Schrödinger operator. This volume will appeal to many readers, as it covers a broad range of topics and presents a view of the some of the frontier research in the Soviet Union today.

Articles

M. Blank  Phase space discretization in chaotic dynamical systems

V. Girko  $G$consistent estimates of eigenvalues and eigenvectors of matrices

K. Khanin and E. Vul  Circle homeomorphisms with weak discontinuities

D. Kosygin  Multidimensional KAM theory from the renormalization group viewpoint

G. Levin  Symmetries on a Julia set

M. Missarov  Renormalization group and renormalization theory in padic and adelic scalar models

Ya. Pesin and Ya. Sinai  Spacetime chaos in chains of weakly interacting hyperbolic mappings

Ya. Sinai  Poisson distribution in a geometric problem

S. Zhitomirskaya  Singular spectral properties of a onedimensional Schrödinger operator with almost periodic potential