SI HIDA TAKEYUKI & SI (EN) — INNOVATION APPROACH TO RANDOM FIELDS, AN

INNOVATION APPROACH TO RANDOM FIELDS, AN краткое содержание

INNOVATION APPROACH TO RANDOM FIELDS, AN - описание и краткое содержание, автор SI HIDA TAKEYUKI & SI (EN), читать бесплатно онлайн на сайте электронной библиотеки Lib-King.Ru.

A random field is a mathematical model of evolutional fluctuating complex systems parametrized by a multi-dimensional manifold like a curve or a surface. As the parameter varies, the random field carries much information and hence it has complex stochastic structure.The authors of this book use an approach that is characteristic: namely, they first construct innovation, which is the most elemental stochastic process with a basic and simple way of dependence, and then express the given field as a function of the innovation. They therefore establish an infinite-dimensional stochastic calculus, in particular a stochastic variational calculus. The analysis of functions of the innovation is essentially infinite-dimensional. The authors use not only the theory of functional analysis, but also their new tools for the study.Contents:IntroductionWhite NoisePoisson NoiseRandom FieldsGaussian Random FieldsSome Non-Gaussian Random FieldsVariational Calculus for Random FieldsInnovation ApproachReversibilityApplicationsReadership: Graduate students and researchers in pure and applied mathematics, as well as theoretical physicists.Key Features:Up-to-date information presented as flow charts for ease of reference for general practitioners, medical students and nursesLatest evidence-based review of management of common O&G conditionsIncludes criteria for referral to OBGYN doctors