<電子ブック>
Stochastic Space-Time Models and Limit Theorems

責任表示
著者
本文言語
出版者
出版年
出版地
関連情報
概要 Approach your problems from It isn't that they can't see the right end and begin with the solution. the answers. Then one day, It is that they can't see the perhaps you will find the problem. final qu...estion. G.K. Chesterton. The Scandal 'The Hermit Clad 1n Crane of Father Brown 'The Point of Feathers' in R. van Gulik's a Pin'. The Chinese Maze Murders. Growing specialisation and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches wich were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD" , "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.続きを見る
目次 Stochastic Space-Time Models and Limit Theorems: An Introduction
I: Stochastic Analysis in Infinite Dimensions
Markov Processes on Infinite Dimensional Spaces, Markov Fields and Markov Cosurfaces
Maximal Regularity for Stochastic Convolutions and Applications to Stochastic Evolution Equations in Hilbert Spaces
Stochastic Integration of Banach Space Valued Functions
A Semigroup Model for Parabolic Equations with Boundary and Pointwise Noise
On the Semigroup Approach to Stochastic Evolution Equations
Markovianization of Random Vibrations
Stochastic Analysis on Nuclear Spaces and its Applications
II. Limit Theorems
Stochastic Limit Theorems: Some Examples from Nonequilibrium Physics
On the Functional Limit Theorems
Tightness of Sequences of Hilbert Valued Martingales
Asymptotic Analysis of a Semi-Linear PDE with Wide-Band Noise Disturbances
A Central Limit Theorem for a System of Interacting Particles
Moments of States over Nuclear LSF Spaces.
続きを見る
本文を見る Full text available from SpringerLink ebooks - Mathematics and Statistics (Archive)

詳細

レコードID
主題
SSID
eISBN
登録日 2020.06.27
更新日 2020.06.28