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.
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.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Produktdetails
Produktdetails
Cambridge Monographs on Applied and Computational Mathematics
Roberto Alicandro is Full Professor at the University of Naples. He works in the calculus of variations and homogenization. His results have applications in different fields, including atomistic-to-continuum limits for nonlinear models in materials science, topological singularities and defects in materials. He co-authored the monograph 'A Variational Theory of Convolution-type Functionals' (2022).
Inhaltsangabe
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.
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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