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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      Book details

      Publisher Cambridge University Press
      Published 12/21/2023 12:00:00 AM
      ISBN-13 9781009298780
      978-1009298780
      ISBN-10 100929878X
      Also in:
      Mathematics Calculus of variations Numerical analysis Technology, Engineering & Agriculture 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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