Geometric Flows On Planar Lattices

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Geometric Flows On Planar Lattices

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Author : Andrea Braides
language : en
Publisher: Springer Nature
Release Date : 2021-03-23

Geometric Flows On Planar Lattices written by Andrea Braides and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-23 with Mathematics categories.

This book introduces the reader to important concepts in modern applied analysis, such as homogenization, gradient flows on metric spaces, geometric evolution, Gamma-convergence tools, applications of geometric measure theory, properties of interfacial energies, etc. This is done by tackling a prototypical problem of interfacial evolution in heterogeneous media, where these concepts are introduced and elaborated in a natural and constructive way. At the same time, the analysis introduces open issues of a general and fundamental nature, at the core of important applications. The focus on two-dimensional lattices as a prototype of heterogeneous media allows visual descriptions of concepts and methods through a large amount of illustrations.

A Variational Theory Of Convolution Type Functionals

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Author : Roberto Alicandro
language : en
Publisher: Springer Nature
Release Date : 2023-05-02

A Variational Theory Of Convolution Type Functionals written by Roberto Alicandro and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-02 with Mathematics categories.

This book provides a general treatment of a class of functionals modelled on convolution energies with kernel having finite p-moments. A general asymptotic analysis of such non-local functionals is performed, via Gamma-convergence, in order to show that the limit may be a local functional representable as an integral. Energies of this form are encountered in many different contexts and the interest in building up a general theory is also motivated by the multiple interests in applications (e.g. peridynamics theory, population dynamics phenomena and data science). The results obtained are applied to periodic and stochastic homogenization, perforated domains, gradient flows, and point-clouds models. This book is mainly intended for mathematical analysts and applied mathematicians who are also interested in exploring further applications of the theory to pass from a non-local to a local description, both in static problems and in dynamic problems.

Discrete Variational Problems With Interfaces

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Author : Roberto Alicandro
language : en
Publisher: Cambridge University Press
Release Date : 2023-12-21

Discrete Variational Problems With Interfaces written by Roberto Alicandro and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-21 with Mathematics categories.

Many materials can be modeled either as discrete systems or as continua, depending on the scale. At intermediate scales it is necessary to understand the transition from discrete to continuous models and variational methods have proved successful in this task, especially for systems, both stochastic and deterministic, that depend on lattice energies. This is the first systematic and unified presentation of research in the area over the last 20 years. The authors begin with a very general and flexible compactness and representation result, complemented by a thorough exploration of problems for ferromagnetic energies with applications ranging from optimal design to quasicrystals and percolation. This leads to a treatment of frustrated systems, and infinite-dimensional systems with diffuse interfaces. Each topic is presented with examples, proofs and applications. Written by leading experts, it is suitable as a graduate course text as well as being an invaluable reference for researchers.

Geometry Analysis And Probability

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Author : Jean-Benoît Bost
language : en
Publisher: Birkhäuser
Release Date : 2017-04-26

Geometry Analysis And Probability written by Jean-Benoît Bost and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-26 with Mathematics categories.

This volume presents original research articles and extended surveys related to the mathematical interest and work of Jean-Michel Bismut. His outstanding contributions to probability theory and global analysis on manifolds have had a profound impact on several branches of mathematics in the areas of control theory, mathematical physics and arithmetic geometry. Contributions by: K. Behrend N. Bergeron S. K. Donaldson J. Dubédat B. Duplantier G. Faltings E. Getzler G. Kings R. Mazzeo J. Millson C. Moeglin W. Müller R. Rhodes D. Rössler S. Sheffield A. Teleman G. Tian K-I. Yoshikawa H. Weiss W. Werner The collection is a valuable resource for graduate students and researchers in these fields.

Dynamics And Bifurcation In Networks

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Author : Martin Golubitsky
language : en
Publisher: SIAM
Release Date : 2023-04-24

Dynamics And Bifurcation In Networks written by Martin Golubitsky and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-24 with Mathematics categories.

In recent years, there has been an explosion of interest in network-based modeling in many branches of science. This book synthesizes some of the common features of many such models, providing a general framework analogous to the modern theory of nonlinear dynamical systems. How networks lead to behavior not typical in a general dynamical system and how the architecture and symmetry of the network influence this behavior are the book’s main themes. Dynamics and Bifurcation in Networks: Theory and Applications of Coupled Differential Equations is the first book to describe the formalism for network dynamics developed over the past 20 years. In it, the authors introduce a definition of a network and the associated class of “admissible” ordinary differential equations, in terms of a directed graph whose nodes represent component dynamical systems and whose arrows represent couplings between these systems. They also develop connections between network architecture and the typical dynamics and bifurcations of these equations and discuss applications of this formalism to various areas of science, including gene regulatory networks, animal locomotion, decision-making, homeostasis, binocular rivalry, and visual illusions. This book will be of interest to scientific researchers in any area that uses network models, which includes many parts of biology, physics, chemistry, computer science, electrical and electronic engineering, psychology, and sociology.

Frontiers In Algorithmics And Algorithmic Aspects In Information And Management

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Author : Mikhail Atallah
language : en
Publisher: Springer
Release Date : 2011-05-30

Frontiers In Algorithmics And Algorithmic Aspects In Information And Management written by Mikhail Atallah and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-30 with Computers categories.

This book constitutes the joint refereed proceedings of the 5th International Frontiers of Algorithmics Workshop, FAW 2011, and the 7th International Conference on Algorithmic Aspects in Information and Management, AAIM 2011, jointly held in Jinhua, China, in May 2011. The 35 revised full papers presented together with 4 invited talks were carefully reviewed and selected from 92 submissions. The papers cover a wide range of topics in the areas of algorithmics, combinatorial optimization and their applications presenting current trends of research.

Contributions To General Algebra

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Author :
language : en
Publisher:
Release Date : 1991

Contributions To General Algebra written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Algebra categories.

Graph Theoretic Concepts In Computer Science

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Author : Ignasi Sau
language : en
Publisher: Springer Nature
Release Date : 2019-09-11

Graph Theoretic Concepts In Computer Science written by Ignasi Sau and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-11 with Mathematics categories.

This book constitutes the revised papers of the 45th International Workshop on Graph-Theoretic Concepts in Computer Science, WG 2019, held in Vall de Núria, Spain, in June 2019. The 29 full papers presented in this volume were carefully reviewed and selected from 87 submissions. They cover a wide range of areas, aiming at connecting theory and applications by demonstrating how graph-theoretic concepts can be applied in various areas of computer science. Another focus is on presenting recent results and on identifying and exploring promising directions of future research.

Abstracts Of Papers Presented To The American Mathematical Society

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Author : American Mathematical Society
language : en
Publisher:
Release Date : 2004

Abstracts Of Papers Presented To The American Mathematical Society written by American Mathematical Society and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.

Scientific And Technical Aerospace Reports

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Author :
language : en
Publisher:
Release Date : 1994

Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Aeronautics categories.