{"product_id":"innovation-approach-to-random-fields-an-application-of-white-noise-theory-9789812380951","title":"Innovation Approach to Random Fields, An: Application of White Noise Theory","description":"\u003cp\u003e • Author(s): Takeyuki Hida | Si Si\u003cbr\u003e • Publisher: World Scientific Publishing Company\u003cbr\u003e • Publisher Imprint: World Scientific Publishing Company\u003cbr\u003e • BISAC: Applied\u003c\/p\u003e\u003cp\u003eA 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.\u003c\/p\u003e","brand":"World Scientific Publishing Company","offers":[{"title":"Hardcover","offer_id":47892172275863,"sku":"9789812380951","price":13549.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9789812380951.webp?v=1781185968","url":"https:\/\/atlanticbooks.com\/products\/innovation-approach-to-random-fields-an-application-of-white-noise-theory-9789812380951","provider":"Atlantic Books","version":"1.0","type":"link"}