Since the parameters in dynamical systems of biological interest
are inherently positive and bounded, bounded noises are a natural way
to model the realistic stochastic fluctuations of a biological system
that are caused by its interaction with the external world. Bounded
Noises in Physics, Biology, and Engineering is the first contributed
volume devoted to the modeling of bounded noises in theoretical and
applied statistical mechanics, quantitative biology, and mathematical
physics. It gives an overview of the current state-of-the-art and
is intended to stimulate further research. The volume is
organized in four parts. The first part presents the main kinds of
bounded noises and their applications in theoretical physics. The
theory of bounded stochastic processes is intimately linked to its
applications to mathematical and statistical physics, and it would be
difficult and unnatural to separate the theory from its physical
applications. The second is devoted to framing bounded noises in the
theory of random dynamical systems and random bifurcations, while the
third is devoted to applications of bounded stochastic processes in
biology, one of the major areas of potential applications of this
subject. The final part concerns the application of bounded stochastic
processes in mechanical and structural engineering, the area where the
renewed interest for non-Gaussian bounded noises started. Pure
mathematicians working on stochastic calculus will find here a rich
source of problems that are challenging from the point of view of
contemporary nonlinear analysis. Bounded Noises in Physics,
Biology, and Engineering is intended for scientists working on
stochasticprocesses with an interest in both fundamental issues and
applications. It will appeal to a broad range of applied
mathematicians, mathematical biologists, physicists, engineers, and
researchers in other fields interested in complexity theory. It is
accessible to anyone with a working knowledge of stochastic modeling,
from advanced undergraduates to senior researchers.
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Produktdetaljer
ISBN
9781461473855
Publisert
2018
Utgiver
Vendor
Birkhauser
Språk
Product language
Engelsk
Format
Product format
Digital bok
Forfatter