{ "item_title" : "Innovation Approach to Random Fields, An", "item_author" : [" Takeyuki Hida", "Si Si "], "item_description" : "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.", "item_img_path" : "https://covers4.booksamillion.com/covers/bam/9/81/238/095/9812380957_b.jpg", "price_data" : { "retail_price" : "114.00", "online_price" : "114.00", "our_price" : "114.00", "club_price" : "114.00", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }

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