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Stochastic Processes in Physics and Engineering

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概要 Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final qu...estion. O. K. Chesterton. The Scandal of Father 'The Hermit Qad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gu!ik's The Chinese Maze Murders. Growing specialization 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 which 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 Statistical physics and optimization: binary sequences with small autocorrelations
A MACSYMA/expert system for nonlinear filtering
Generalized solution of some stochastic P.D.E.'s in turbulent diffusion
Nonstandard techniques in stochastic optimal control theory
Recursive estimation of order and parameters of a pilot plant turbo generator
Attainability and reversibility of a golden age for the labour-surplus economy: a stochastic variational approach
Wavelet transforms and edge detection
Lie algebraic method in filtering and identification
White noise analysis and the Levy Laplacian
An application of adaptive optimal control
The value of an option based on an average security value
On asymptotic localization by perturbing operators for partial observation of a stochastic evolution equation
Adaptive games
Nonlinear filtering and smoothing with high signal-to-noise ratio
Fractal and multifractal structures in kinetic critical phenomena
Generalized Levy distributions as limit laws
The oscillator representation of the metaplectic group applied to quantum electronics and computerized tomography
Stepping stone models in population genetics and population dynamics
Power spectrum and Fredholm determinant related to intermittent chaos
On the qualitative behaviour of interacting biological cell systems
List of participants.
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登録日 2020.06.27
更新日 2020.06.28