Frontiers in Entropy Across the Disciplines presents a panorama of
entropy emphasizing mathematical theory, physical and scientific
significance, computational methods, and applications in
mathematics, physics, statistics, engineering, biomedical signals,
and signal processing.In the last century classical concepts of
entropy were introduced in the areas of thermodynamics, information
theory, probability theory, statistics, dynamical systems, and
ergodic theory. During the past 50 years, dozens of new concepts of
entropy have been introduced and studied in many disciplines. This
volume captures significant developments in this arena. It features
expository, review, and research papers by distinguished
mathematicians and scientists from many disciplines. The level of
mathematics ranges from intermediate level to research level. Each
chapter contains a comprehensive list of references. Topics include
entropy and society, entropy and time, Souriau entropy on
symplectic model of statistical physics, new definitions of
entropy, geometric theory of heat and information, maximum entropy
in Bayesian networks, maximum entropy methods, entropy analysis of
biomedical signals (review and comparison of methods), spectral
entropy and its application to video coding and speech coding, a
comprehensive review of 50 years of entropy in dynamics, a
comprehensive review on entropy, entropy-like quantities and
applications, topological entropy of multimodal maps, entropy
production in complex systems, entropy production and convergence
to equilibrium, reversibility and irreversibility in entropy,
nonequilibrium entropy, index of various entropy, entropy and the
greatest blunder ever.
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