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Books > Science & Mathematics > Mathematics > Applied mathematics
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Networks of Echoes - Imitation, Innovation and Invisible Leaders (Hardcover, 2014 ed.)
Loot Price: R2,582
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Networks of Echoes - Imitation, Innovation and Invisible Leaders (Hardcover, 2014 ed.)
Series: Computational Social Sciences
Expected to ship within 10 - 15 working days
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"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."
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