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Books > Science & Mathematics > Mathematics > Probability & statistics
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Elements of Random Walk and Diffusion Processes (Hardcover)
Loot Price: R2,668
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Elements of Random Walk and Diffusion Processes (Hardcover)
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Presents an important and unique introduction to random walk theory
Random walk is a stochastic process that has proven to be a useful
model in understanding discrete-state discrete-time processes
across a wide spectrum of scientific disciplines. Elements of
Random Walk and Diffusion Processes provides an interdisciplinary
approach by including numerous practical examples and exercises
with real-world applications in operations research, economics,
engineering, and physics. Featuring an introduction to powerful and
general techniques that are used in the application of physical and
dynamic processes, the book presents the connections between
diffusion equations and random motion. Standard methods and
applications of Brownian motion are addressed in addition to Levy
motion, which has become popular in random searches in a variety of
fields. The book also covers fractional calculus and introduces
percolation theory and its relationship to diffusion processes.
With a strong emphasis on the relationship between random walk
theory and diffusion processes, Elements of Random Walk and
Diffusion Processes features: * Basic concepts in probability, an
overview of stochastic and fractional processes, and elements of
graph theory * Numerous practical applications of random walk
across various disciplines, including how to model stock prices and
gambling, describe the statistical properties of genetic drift, and
simplify the random movement of molecules in liquids and gases *
Examples of the real-world applicability of random walk such as
node movement and node failure in wireless networking, the size of
the Web in computer science, and polymers in physics * Plentiful
examples and exercises throughout that illustrate the solution of
many practical problems Elements of Random Walk and Diffusion
Processes is an ideal reference for researchers and professionals
involved in operations research, economics, engineering,
mathematics, and physics. The book is also an excellent textbook
for upper-undergraduate and graduate level courses in probability
and stochastic processes, stochastic models, random motion and
Brownian theory, random walk theory, and diffusion process
techniques.
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