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Nonlinear Markov Processes and Kinetic Equations (Hardcover)
Loot Price: R2,149
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Nonlinear Markov Processes and Kinetic Equations (Hardcover)
Series: Cambridge Tracts in Mathematics
Expected to ship within 12 - 17 working days
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A nonlinear Markov evolution is a dynamical system generated by a
measure-valued ordinary differential equation with the specific
feature of preserving positivity. This feature distinguishes it
from general vector-valued differential equations and yields a
natural link with probability, both in interpreting results and in
the tools of analysis. This brilliant book, the first devoted to
the area, develops this interplay between probability and analysis.
After systematically presenting both analytic and probabilistic
techniques, the author uses probability to obtain deeper insight
into nonlinear dynamics, and analysis to tackle difficult problems
in the description of random and chaotic behavior. The book
addresses the most fundamental questions in the theory of nonlinear
Markov processes: existence, uniqueness, constructions,
approximation schemes, regularity, law of large numbers and
probabilistic interpretations. Its careful exposition makes the
book accessible to researchers and graduate students in stochastic
and functional analysis with applications to mathematical physics
and systems biology.
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