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Nonnegative matrices, positive operators, and applications

Tác giả: Jiu Ding, Aihui Zhou

This book provides the basic theory and several typical modern science and engineering applications of nonnegative matrices and positive operators, including the fundamental theory, methods, numerical analysis, and applications in the Google search engine, computational molecular dynamics, and ...

Topics on stability and periodicity in abstract differential equations

Tác giả: James Hetao Liu, Gaston M. N'Guerekata, Nguyen Van Minh

This book presents recent methods of study on the asymptotic behavior of solutions of abstract differential equations such as stability, exponential dichotomy, periodicity, almost periodicity, and almost automorphy of solutions. The chosen methods are described in a way that is suitable to those ...

Random polymer models

Tác giả: Giambattista Giacomin

Contents: 1. Random Polymer Models and their Applications; 2. The Homogeneous Pinning Model; 3. Weakly Inhomogeneous Models; 4. The Free Energy of Disordered Polymer Chains; 5. Disordered Pinning Models: The Phase Diagram; 6. Disordered Copolymers and Selective Interfaces: The Phase Diagram; 7. The ...

Statistics of knots and entangled random walks

Tác giả: S. K. Nechaev

Chapter 1. Knot Diagrams as Disordered Spin Systems. Chapter 2. Random Walks on Local Noncommutative Groups. Chapter 3. Conformal Methods in Statistics of Entangled Random Walks. Chapter 4. Physical Applications.

Computing in Euclidean geometry

Tác giả: Dingzhu Du, Frank Hwang

A collection of surveys and exploratory articles about recent developments in computational Euclidean geometry. Topics include the history of Euclidean geometry, Steiner trees, Voronoi diagrams, randomized geometric algorithms, computational algebra, topological designs and finite-element mesh.