Stochastic Space—Time Models and Limit Theorems

Stochastic Space—Time Models and Limit Theorems PDF Author: L. Arnold
Publisher: Springer Science & Business Media
ISBN: 9400953909
Category : Mathematics
Languages : en
Pages : 270

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Book Description
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 question. 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.

Stochastic Space—Time Models and Limit Theorems

Stochastic Space—Time Models and Limit Theorems PDF Author: L. Arnold
Publisher: Springer Science & Business Media
ISBN: 9400953909
Category : Mathematics
Languages : en
Pages : 270

Get Book Here

Book Description
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 question. 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.

Probability Theory and Mathematical Statistics. Vol. 1

Probability Theory and Mathematical Statistics. Vol. 1 PDF Author: Yu. V. Prohorov
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3112319001
Category : Mathematics
Languages : en
Pages : 584

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Book Description
No detailed description available for "PROC. VILNIUS CONF. PROB. STAT. VOL. 1 (PROHOROV) E-BOOK".

Probability Theory and Mathematical Statistics

Probability Theory and Mathematical Statistics PDF Author: I͡Uriĭ Vasilʹevich Prokhorov
Publisher: VSP
ISBN: 9789067640671
Category : Mathematical statistics
Languages : en
Pages : 588

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Book Description


Limit Theorems for Random Fields with Singular Spectrum

Limit Theorems for Random Fields with Singular Spectrum PDF Author: Nicolai Leonenko
Publisher: Springer Science & Business Media
ISBN: 9401146071
Category : Mathematics
Languages : en
Pages : 410

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Book Description
This book presents limit theorems for nonlinear functionals of random fields with singular spectrum on the basis of various asymptotic expansions. The first chapter treats basic concepts of the spectral theory of random fields, some important examples of random processes and fields with singular spectrum, and Tauberian and Abelian theorems for covariance function of long-memory random fields. Chapter 2 is devoted to limit theorems for spherical averages of nonlinear transformations of Gaussian and chi-square random fields. Chapter 3 summarises some limit theorems for geometric type functionals of random fields. Limit theorems for the solutions of Burgers' equation with random data via parabolic and hyperbolic rescaling are demonstrated in Chapter 4. Lastly, Chapter 5 deals with some problems for statistical analysis of random fields with singular spectrum. Audience: This book will be of interest to mathematicians who use random fields in engineering or other applications.

Probabilistic Methods in Fluids

Probabilistic Methods in Fluids PDF Author: Ian Malcolm Davies
Publisher: World Scientific
ISBN: 9812703985
Category : Mathematics
Languages : en
Pages : 383

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Book Description
This volume contains recent research papers presented at the international workshop on OC Probabilistic Methods in FluidsOCO held in Swansea. The central problems considered were turbulence and the NavierOCoStokes equations but, as is now well known, these classical problems are deeply intertwined with modern studies of stochastic partial differential equations, jump processes and random dynamical systems. The volume provides a snapshot of current studies in a field where the applications range from the design of aircraft through the mathematics of finance to the study of fluids in porous media."

Probabilistic Methods In Fluids, Proceedings Of The Swansea 2002 Workshop

Probabilistic Methods In Fluids, Proceedings Of The Swansea 2002 Workshop PDF Author: Ian M Davies
Publisher: World Scientific
ISBN: 9814487058
Category : Mathematics
Languages : en
Pages : 383

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Book Description
This volume contains recent research papers presented at the international workshop on “Probabilistic Methods in Fluids” held in Swansea. The central problems considered were turbulence and the Navier-Stokes equations but, as is now well known, these classical problems are deeply intertwined with modern studies of stochastic partial differential equations, jump processes and random dynamical systems. The volume provides a snapshot of current studies in a field where the applications range from the design of aircraft through the mathematics of finance to the study of fluids in porous media.

Stochastic Dynamics

Stochastic Dynamics PDF Author: Hans Crauel
Publisher: Springer Science & Business Media
ISBN: 0387226559
Category : Mathematics
Languages : en
Pages : 457

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Book Description
Focusing on the mathematical description of stochastic dynamics in discrete as well as in continuous time, this book investigates such dynamical phenomena as perturbations, bifurcations and chaos. It also introduces new ideas for the exploration of infinite dimensional systems, in particular stochastic partial differential equations. Example applications are presented from biology, chemistry and engineering, while describing numerical treatments of stochastic systems.

Stochastic Modelling In Biology: Relevant Mathematical Concepts And Recent Applications

Stochastic Modelling In Biology: Relevant Mathematical Concepts And Recent Applications PDF Author: Tautu Petre
Publisher: #N/A
ISBN: 9814611921
Category :
Languages : en
Pages : 456

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Book Description
These proceedings focus on future prospects as well as on the present status in some important areas of applied probability and mathematical biology. Some papers have educational intentions regarding the mathematical modelling of special biological situations. The workshop was the third one in Heidelberg dealing with stochastic modelling in biology, e.g., cell biology, embryology, oncology, epidemiology and genetics.

Stochastic Equations in Infinite Dimensions

Stochastic Equations in Infinite Dimensions PDF Author: Giuseppe Da Prato
Publisher: Cambridge University Press
ISBN: 1107055849
Category : Mathematics
Languages : en
Pages : 513

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Book Description
Updates in this second edition include two brand new chapters and an even more comprehensive bibliography.

Probabilistic Methods in Quantum Field Theory and Quantum Gravity

Probabilistic Methods in Quantum Field Theory and Quantum Gravity PDF Author: Poul Henrik Damgaard
Publisher: Springer Science & Business Media
ISBN: 1461537843
Category : Science
Languages : en
Pages : 382

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Book Description
From August 21 through August 27, 1989 the Nato Advanced Research Workshop Probabilistic Methods in Quantum Field Theory and Quantum Gravity" was held at l'Institut d'Etudes Scientifiques, Cargese, France. This publication is the Proceedings of this workshop. The purpose of the workshop was to bring together a group of scientists who have been at the forefront of the development of probabilistic methods in Quantum Field Theory and Quantum Gravity. The original thought was to put emphasis on the introduction of stochastic processes in the understanding of Euclidean Quantum Field Theory, with also some discussion of recent progress in the field of stochastic numerical methods. During the final preparation of the meeting we broadened the scope to include all those Euclidean Quantum Field Theory descriptions that make direct reference to concepts from probability theory and statistical mechanics. Several of the main contributions centered around a more rigorous discussion of stochastic processes for the formulation of Euclidean Quantum Field Theory. These rather stringent mathematical approaches were contrasted with the more heuristic stochastic quantization scheme developed in 1981 by Parisi and Wu: Stochastic quan tization, its intrinsic BRST -structure and stochastic regularization appeared in many disguises and in connection with several different problems throughout the workshop.