Description

Book Synopsis
This text presents a complete treatment of variational problems on discrete sets with an overall behavior driven by surface energies. Covering both applications and perspectives, it can be used as an advanced graduate course text, as well as a reference for mathematical analysts and applied mathematicians working in related fields.

Table of Contents
1. Introduction; 2. Preliminaries; 3. Homogenization of pairwise systems with positive coefficients; 4. Compactness and integral representation; 5. Random lattices; 6. Extensions; 7. Frustrated systems; 8. Perspectives towards dense graphs; A. Multiscale analysis; B. Spin systems as limits of elastic interactions; References; Index.

Discrete Variational Problems with Interfaces

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A Hardback by Andrea Braides, Andrea Braides, Marco Cicalese

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    View other formats and editions of Discrete Variational Problems with Interfaces by Andrea Braides

    Publisher: Cambridge University Press
    Publication Date: 12/21/2023 12:00:00 AM
    ISBN13: 9781009298780, 978-1009298780
    ISBN10: 100929878X
    Also in:
    Calculus of variations Numerical analysis Engineering: Mechanics of solids

    Description

    Book Synopsis
    This text presents a complete treatment of variational problems on discrete sets with an overall behavior driven by surface energies. Covering both applications and perspectives, it can be used as an advanced graduate course text, as well as a reference for mathematical analysts and applied mathematicians working in related fields.

    Table of Contents
    1. Introduction; 2. Preliminaries; 3. Homogenization of pairwise systems with positive coefficients; 4. Compactness and integral representation; 5. Random lattices; 6. Extensions; 7. Frustrated systems; 8. Perspectives towards dense graphs; A. Multiscale analysis; B. Spin systems as limits of elastic interactions; References; Index.

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