Epidemics And Rumours In Complex Networks

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Epidemics And Rumours In Complex Networks

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Author : Moez Draief
language : en
Publisher: Cambridge University Press
Release Date : 2009-12-03

Epidemics And Rumours In Complex Networks written by Moez Draief 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 2009-12-03 with Mathematics categories.

Information propagation through peer-to-peer systems, online social systems, wireless mobile ad hoc networks and other modern structures can be modelled as an epidemic on a network of contacts. Understanding how epidemic processes interact with network topology allows us to predict ultimate course, understand phase transitions and develop strategies to control and optimise dissemination. This book is a concise introduction for applied mathematicians and computer scientists to basic models, analytical tools and mathematical and algorithmic results. Mathematical tools introduced include coupling methods, Poisson approximation (the Stein-Chen method), concentration inequalities (Chernoff bounds and Azuma-Hoeffding inequality) and branching processes. The authors examine the small-world phenomenon, preferential attachment, as well as classical epidemics. Each chapter ends with pointers to the wider literature. An ideal accompaniment for graduate courses, this book is also for researchers (statistical physicists, biologists, social scientists) who need an efficient guide to modern approaches to epidemic modelling on networks.

Mmb Dft 2014

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Author : Kai Fischbach
language : en
Publisher: University of Bamberg Press
Release Date : 2014-04-17

Mmb Dft 2014 written by Kai Fischbach and has been published by University of Bamberg Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-04-17 with categories.

Mathematics Of Epidemics On Networks

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Author : István Z. Kiss
language : en
Publisher: Springer
Release Date : 2017-06-08

Mathematics Of Epidemics On Networks written by István Z. Kiss and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06-08 with Mathematics categories.

This textbook provides an exciting new addition to the area of network science featuring a stronger and more methodical link of models to their mathematical origin and explains how these relate to each other with special focus on epidemic spread on networks. The content of the book is at the interface of graph theory, stochastic processes and dynamical systems. The authors set out to make a significant contribution to closing the gap between model development and the supporting mathematics. This is done by: Summarising and presenting the state-of-the-art in modeling epidemics on networks with results and readily usable models signposted throughout the book; Presenting different mathematical approaches to formulate exact and solvable models; Identifying the concrete links between approximate models and their rigorous mathematical representation; Presenting a model hierarchy and clearly highlighting the links between model assumptions and model complexity; Providing a reference source for advanced undergraduate students, as well as doctoral students, postdoctoral researchers and academic experts who are engaged in modeling stochastic processes on networks; Providing software that can solve differential equation models or directly simulate epidemics on networks. Replete with numerous diagrams, examples, instructive exercises, and online access to simulation algorithms and readily usable code, this book will appeal to a wide spectrum of readers from different backgrounds and academic levels. Appropriate for students with or without a strong background in mathematics, this textbook can form the basis of an advanced undergraduate or graduate course in both mathematics and other departments alike.

Complex Networks Viii

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Author : Bruno Gonçalves
language : en
Publisher: Springer
Release Date : 2017-03-01

Complex Networks Viii written by Bruno Gonçalves and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-01 with Science categories.

This book collects the works presented at the 8th International Conference on Complex Networks (CompleNet) 2017 in Dubrovnik, Croatia, on March 21-24, 2017. CompleNet aims at bringing together researchers and practitioners working in areas related to complex networks. The past two decades has witnessed an exponential increase in the number of publications within this field. From biological systems to computer science, from economic to social systems, complex networks are becoming pervasive in many fields of science. It is this interdisciplinary nature of complex networks that CompleNet aims at addressing. The last decades have seen the emergence of complex networks as the language with which a wide range of complex phenomena in fields as diverse as physics, computer science, and medicine (to name a few) can be properly described and understood. This book provides a view of the state-of-the-art in this dynamic field and covers topics such as network controllability, social structure, online behavior, recommendation systems, and network structure.

Automorphic Forms And Galois Representations

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Author : Fred Diamond
language : en
Publisher: Cambridge University Press
Release Date : 2014-10-16

Automorphic Forms And Galois Representations written by Fred Diamond 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 2014-10-16 with Mathematics categories.

Part two of a two-volume collection exploring recent developments in number theory related to automorphic forms and Galois representations.

Arithmetic And Geometry

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Author : Luis Dieulefait
language : en
Publisher: Cambridge University Press
Release Date : 2015-10-08

Arithmetic And Geometry written by Luis Dieulefait 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 2015-10-08 with Mathematics categories.

The world's leading authorities describe the state of the art in Serre's conjecture and rational points on algebraic varieties.

Inequalities For Graph Eigenvalues

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Author : Zoran Stanić
language : en
Publisher: Cambridge University Press
Release Date : 2015-07-23

Inequalities For Graph Eigenvalues written by Zoran Stanić 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 2015-07-23 with Mathematics categories.

This book explores the inequalities for eigenvalues of the six matrices associated with graphs. Includes the main results and selected applications.

Groups St Andrews 2013

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Author : C. M. Campbell
language : en
Publisher: Cambridge University Press
Release Date : 2015-10-22

Groups St Andrews 2013 written by C. M. Campbell 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 2015-10-22 with Mathematics categories.

Leading researchers survey the latest developments in group theory and many related areas.

Recent Progress In The Theory Of The Euler And Navier Stokes Equations

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Author : James C. Robinson
language : en
Publisher: Cambridge University Press
Release Date : 2016-01-21

Recent Progress In The Theory Of The Euler And Navier Stokes Equations written by James C. Robinson 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 2016-01-21 with Mathematics categories.

An accessible summary of a wide range of active research topics written by leaders in their field, including exciting new results.

Geometry In A Fr Chet Context

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Author : C. T. J. Dodson
language : en
Publisher: Cambridge University Press
Release Date : 2016

Geometry In A Fr Chet Context written by C. T. J. Dodson 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 2016 with Mathematics categories.

A new approach to studying Fréchet geometry using projective limits of geometrical objects modelled on Banach spaces.