Logo - springer
Slogan - springer

Physics - Complexity | Networks of Echoes - Imitation, Innovation and Invisible Leaders

Networks of Echoes

Imitation, Innovation and Invisible Leaders

West, Bruce J., Turalska, Malgorzata, Grigolini, Paolo

2014, XI, 225 p. 86 illus., 1 illus. in color.

Available Formats:

Springer eBooks may be purchased by end-customers only and are sold without copy protection (DRM free). Instead, all eBooks include personalized watermarks. This means you can read the Springer eBooks across numerous devices such as Laptops, eReaders, and tablets.

You can pay for Springer eBooks with Visa, Mastercard, American Express or Paypal.

After the purchase you can directly download the eBook file or read it online in our Springer eBook Reader. Furthermore your eBook will be stored in your MySpringer account. So you can always re-download your eBooks.


(net) price for USA

ISBN 978-3-319-04879-6

digitally watermarked, no DRM

Included Format: PDF and EPUB

download immediately after purchase

learn more about Springer eBooks

add to marked items


Hardcover version

You can pay for Springer Books with Visa, Mastercard, American Express or Paypal.

Standard shipping is free of charge for individual customers.


(net) price for USA

ISBN 978-3-319-04878-9

free shipping for individuals worldwide

usually dispatched within 3 to 5 business days

add to marked items

  • Uses a single relatively simple computational model to investigate consensus
  • Explores the different complexities in time and network topology
  • Features criticality and phase transition to explain consensus and neuronal avalanches
  • Demonstrates the sensitivity of consensus to the destabilizing influence of zealots
  • Explains how the dynamic behavior of herds and flocks depend on information transfer
  • Insightfully overviews recent tools and their uses may serve as an introduction and curriculum guide in related courses
Networks of Echoes: Imitation, Innovation and Invisible Leaders is a mathematically rigorous and data rich book on a fascinating area of the science and engineering of social webs.  There are hundreds of complex network phenomena whose statistical properties are described by inverse power laws.  The phenomena of interest are not arcane events that we encounter only fleetingly, but are events that dominate our lives. We examine how this intermittent statistical behavior intertwines itself with what appears to be the organized activity of social groups.  The book is structured as answers to a sequence of questions such as: How are decisions reached in elections and boardrooms?  How is the stability of a society undermined by zealots and committed minorities, and how is that stability re-established?  Can we learn to answer such questions about human behavior by studying the way flocks of birds retain their formation when eluding a predator?  These questions and others are answered using a generic model of a complex dynamic network—one whose global behavior is determined by a symmetric interaction among individuals based on social imitation. The complexity of the network is manifest in time series resulting from self-organized critical dynamics that have divergent first and second moments, are non-stationary, non-ergodic, and non-Poisson.  How phase transitions in the network dynamics influence such activity as decision making is a fascinating story and provides a context for introducing many of the mathematical ideas necessary for understanding complex networks in general.  The decision making model (DMM) is selected to emphasize that there are features of complex webs that supersede specific mechanisms and need to be understood from a general perspective.  This insightful overview of recent tools and their uses may serve as an introduction and curriculum guide in related courses.

Content Level » Research

Keywords » Committed Minorities - Complex Dynamic Networks - Scale-free Processes - Statistical Behavior - Temporal Complexity - Tipping Points

Related subjects » Applications - Complexity - Information Systems and Applications - Social Sciences

Table of contents 

Networking Perspective.- Complexity Primer.- A Model of Decision Making.- Criticality and Crowds.- Networks of Influence.- Critical Networks.

Popular Content within this publication 



Read this Book on Springerlink

Services for this book

New Book Alert

Get alerted on new Springer publications in the subject area of Complex Networks.