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Books > Science & Mathematics > Mathematics > Applied mathematics > Stochastics
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Non-homogeneous Random Walks - Lyapunov Function Methods for Near-Critical Stochastic Systems (Hardcover)
Loot Price: R3,829
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Non-homogeneous Random Walks - Lyapunov Function Methods for Near-Critical Stochastic Systems (Hardcover)
Series: Cambridge Tracts in Mathematics
Expected to ship within 12 - 17 working days
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Stochastic systems provide powerful abstract models for a variety
of important real-life applications: for example, power supply,
traffic flow, data transmission. They (and the real systems they
model) are often subject to phase transitions, behaving in one way
when a parameter is below a certain critical value, then switching
behaviour as soon as that critical value is reached. In a real
system, we do not necessarily have control over all the parameter
values, so it is important to know how to find critical points and
to understand system behaviour near these points. This book is a
modern presentation of the 'semimartingale' or 'Lyapunov function'
method applied to near-critical stochastic systems, exemplified by
non-homogeneous random walks. Applications treat near-critical
stochastic systems and range across modern probability theory from
stochastic billiards models to interacting particle systems.
Spatially non-homogeneous random walks are explored in depth, as
they provide prototypical near-critical systems.
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