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Multilayer Networks: Structure and Function

Ginestra Bianconi

Published in print:
2018
Published Online:
July 2018
ISBN:
9780198753919
eISBN:
9780191815676
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198753919.001.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Multilayer networks are formed by several networks that interact with each other and co-evolve. Multilayer networks include social networks, financial markets, transportation systems, infrastructures ... More


Introduction

Edmund T. Rolls and Alessandro Treves

in Neural Networks and Brain Function

Published in print:
1997
Published Online:
March 2012
ISBN:
9780198524328
eISBN:
9780191724466
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198524328.003.0001
Subject:
Neuroscience, Development

This introductory chapter explains the coverage of this book, which is about biologically plausible neural networks. This book introduces the operation of several fundamental types of neural ... More


Error-correcting networks: perceptrons, the delta rule, backpropagation of error in multilayer networks, and reinforcement learning algorithms

Edmund T. Rolls and Alessandro Treves

in Neural Networks and Brain Function

Published in print:
1997
Published Online:
March 2012
ISBN:
9780198524328
eISBN:
9780191724466
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198524328.003.0005
Subject:
Neuroscience, Development

This chapter describes the so-called error-correcting neural networks that are capable of mapping a set of inputs to a set of required outputs using correction when errors are made. These networks do ... More


Mirrors in animals

Michael F. Land and Dan-Eric Nilsson

in Animal Eyes

Published in print:
2012
Published Online:
December 2013
ISBN:
9780199581139
eISBN:
9780191774652
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199581139.003.0006
Subject:
Biology, Animal Biology

A small number of eyes employ concave mirrors, rather than lenses, as image-forming structures. The most impressive of these is in the scallop Pecten, where the image in each of the 60–100 eyes ... More


Basic Structural Properties

Ginestra Bianconi

in Multilayer Networks: Structure and Function

Published in print:
2018
Published Online:
July 2018
ISBN:
9780198753919
eISBN:
9780191815676
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198753919.003.0006
Subject:
Physics, Theoretical, Computational, and Statistical Physics

In this chapter the basic structural properties of multilayer networks are given. This chapter reveals that on multilayer networks the most basic structural properties of a network such as the degree ... More


Complex Systems as Multilayer Networks

Ginestra Bianconi

in Multilayer Networks: Structure and Function

Published in print:
2018
Published Online:
July 2018
ISBN:
9780198753919
eISBN:
9780191815676
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198753919.003.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Chapter 1 constitutes Part I of the book: ‘Single and Multilayer Networks’. This chapter introduces multilayer networks as an important new development of Network Science that allows a more ... More


Interdependent Multilayer Networks

Ginestra Bianconi

in Multilayer Networks: Structure and Function

Published in print:
2018
Published Online:
July 2018
ISBN:
9780198753919
eISBN:
9780191815676
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198753919.003.0011
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter characterizes interdependent multilayer networks and their increased fragility. Interdependent networks are stylized models that can represent different complex systems, ranging from ... More


Communities

Ginestra Bianconi

in Multilayer Networks: Structure and Function

Published in print:
2018
Published Online:
July 2018
ISBN:
9780198753919
eISBN:
9780191815676
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198753919.003.0008
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Multilayer networks have a mesoscale structure organized in multilayer communities, spanning different layers and often revealing important functional properties of the network. In this chapter the ... More


Manganite multilayers

Anand Bhattacharya, Shuai Dong, and Rong Yu

in Multifunctional Oxide Heterostructures

Published in print:
2012
Published Online:
January 2013
ISBN:
9780199584123
eISBN:
9780191745331
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199584123.003.0009
Subject:
Physics, Condensed Matter Physics / Materials

This chapter reviews recent experimental and theoretical progress in manganite multilayers. Manganites have been intensively studied in the past two decades for their colossal magnetoresistance and ... More


Thin-film technology and conductor development of HTS cuprates

A.V. Narlikar

in Superconductors

Published in print:
2014
Published Online:
June 2014
ISBN:
9780199584116
eISBN:
9780191747496
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199584116.003.0017
Subject:
Physics, Condensed Matter Physics / Materials

This chapter focuses on technological compatibility of HTS cuprates and progress made in their thin-film technology and conductor development for practical applications. In order to realise a high ... More


Multilayer Networks

Sergio Gómez, Manlio De Domenico, Elisa Omodei, Albert Solé-Ribalta, and Alex Arenas

in Multiplex and Multilevel Networks

Published in print:
2018
Published Online:
December 2018
ISBN:
9780198809456
eISBN:
9780191847073
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198809456.003.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

The chapter “Multilayer Networks” introduces the topic of interconnected multilayer networks, analyzing them from a few fronts: types of multilayer networks, their mathematical description, the ... More


Multilevel News Networks

Borut Sluban, Jasmina Smailović, Miha Grčar, and Igor Mozetič

in Multiplex and Multilevel Networks

Published in print:
2018
Published Online:
December 2018
ISBN:
9780198809456
eISBN:
9780191847073
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198809456.003.0007
Subject:
Physics, Theoretical, Computational, and Statistical Physics

The chapter “Multilevel News Networks” describes how to construct time-varying, multilayer networks linking entities from online news articles. It builds on preliminary research on extraction of ... More


Synchronization, Non-linear Dynamics and Control

Ginestra Bianconi

in Multilayer Networks: Structure and Function

Published in print:
2018
Published Online:
July 2018
ISBN:
9780198753919
eISBN:
9780191815676
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198753919.003.0015
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter is entirely devoted to characterizing non-linear dynamics on multilayer networks. Special attention is given to recent results on the stability of synchronization that extend the Master ... More


Networks

Stefan Thurner, Rudolf Hanel, and Peter Klimekl

in Introduction to the Theory of Complex Systems

Published in print:
2018
Published Online:
November 2018
ISBN:
9780198821939
eISBN:
9780191861062
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198821939.003.0004
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Understanding the interactions between the components of a system is key to understanding it. In complex systems, interactions are usually not uniform, not isotropic and not homogeneous: each ... More


Multilayer Networks in Nature, Society and Infrastructures

Ginestra Bianconi

in Multilayer Networks: Structure and Function

Published in print:
2018
Published Online:
July 2018
ISBN:
9780198753919
eISBN:
9780191815676
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198753919.003.0004
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Chapter 4 opens Part III of the book, ‘Multilayer Networks’, which comprises chapters 4–15. The chapter starts with an informal definition of multiplex networks, multi-slice networks and networks of ... More


The Mathematical Definition

Ginestra Bianconi

in Multilayer Networks: Structure and Function

Published in print:
2018
Published Online:
July 2018
ISBN:
9780198753919
eISBN:
9780191815676
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198753919.003.0005
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter provides the mathematical definition of multilayer networks and it is of fundamental importance for the rest of the book. The mathematical definition of multilayer networks is given in ... More


National versus Supranational Collective Goods: The Evolution of Neoliberal Federalism

Fabio Masini

in Liberalism and the Welfare State: Economists and Arguments for the Welfare State

Published in print:
2017
Published Online:
July 2017
ISBN:
9780190676681
eISBN:
9780190676711
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780190676681.003.0010
Subject:
Economics and Finance, Macro- and Monetary Economics, Public and Welfare

The recent and growing literature concerning the birth and history of neoliberalism stresses the importance of supranational economic governance and institutions for the neoliberal project. Sometimes ... More


Mathematics of networks

Mark Newman

in Networks

Published in print:
2018
Published Online:
October 2018
ISBN:
9780198805090
eISBN:
9780191843235
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198805090.003.0006
Subject:
Physics, Theoretical, Computational, and Statistical Physics

An introduction to the mathematical tools used in the study of networks. Topics discussed include: the adjacency matrix; weighted, directed, acyclic, and bipartite networks; multilayer and dynamic ... More


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