Diffusion In Random Fields

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Diffusion In Random Fields

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Author : Nicolae Suciu
language : en
Publisher: Springer
Release Date : 2019-05-31

Diffusion In Random Fields written by Nicolae Suciu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-31 with Mathematics categories.

This book presents, in an accessible and self-consistent way, the theory of diffusion in random velocity fields, together with robust numerical simulation approaches. The focus is on transport processes in natural porous media, with applications to contaminant transport in groundwater. Starting from basic information on stochastic processes, more challenging issues are subsequently addressed, such as the correlation structure of the diffusion process in random fields, the relation between memory effects and ergodic properties, derivation and parameterizations of evolution equations for probability densities, and the relation between measurements and spatio-temporal upscaling. Written for readers with a background in applied mathematics, engineering, physics or geophysics, the book offers an essential basis for further research in the stochastic modeling of groundwater systems.

Gaussian Markov Random Fields

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Author : Havard Rue
language : en
Publisher: CRC Press
Release Date : 2005-02-18

Gaussian Markov Random Fields written by Havard Rue and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-02-18 with Mathematics categories.

Gaussian Markov Random Field (GMRF) models are most widely used in spatial statistics - a very active area of research in which few up-to-date reference works are available. This is the first book on the subject that provides a unified framework of GMRFs with particular emphasis on the computational aspects. This book includes extensive case-studie

Markov Random Field Modeling In Image Analysis

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Author : Stan Z. Li
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-04-03

Markov Random Field Modeling In Image Analysis written by Stan Z. Li and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-04-03 with Computers categories.

Markov random field (MRF) theory provides a basis for modeling contextual constraints in visual processing and interpretation. It enables us to develop optimal vision algorithms systematically when used with optimization principles. This book presents a comprehensive study on the use of MRFs for solving computer vision problems. Various vision models are presented in a unified framework, including image restoration and reconstruction, edge and region segmentation, texture, stereo and motion, object matching and recognition, and pose estimation. This third edition includes the most recent advances and has new and expanded sections on topics such as: Bayesian Network; Discriminative Random Fields; Strong Random Fields; Spatial-Temporal Models; Learning MRF for Classification. This book is an excellent reference for researchers working in computer vision, image processing, statistical pattern recognition and applications of MRFs. It is also suitable as a text for advanced courses in these areas.

Monte Carlo And Quasi Monte Carlo Methods 2006

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Author : Alexander Keller
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-30

Monte Carlo And Quasi Monte Carlo Methods 2006 written by Alexander Keller and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-30 with Mathematics categories.

This book presents the refereed proceedings of the Seventh International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing, held in Ulm, Germany, in August 2006. The proceedings include carefully selected papers on many aspects of Monte Carlo and quasi-Monte Carlo methods and their applications. They also provide information on current research in these very active areas.

Mathematical Statistical Physics

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Author :
language : en
Publisher: Elsevier
Release Date : 2006-06-27

Mathematical Statistical Physics written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-06-27 with Science categories.

The proceedings of the 2005 les Houches summer school on Mathematical Statistical Physics give and broad and clear overview on this fast developing area of interest to both physicists and mathematicians. - Introduction to a field of math with many interdisciplinary connections in physics, biology, and computer science - Roadmap to the next decade of mathematical statistical mechanics - Volume for reference years to come

Visualization And Processing Of Tensor Fields

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Author : Joachim Weickert
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-06-25

Visualization And Processing Of Tensor Fields written by Joachim Weickert and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-06-25 with Mathematics categories.

Matrix-valued data sets – so-called second order tensor fields – have gained significant importance in scientific visualization and image processing due to recent developments such as diffusion tensor imaging. This book is the first edited volume that presents the state of the art in the visualization and processing of tensor fields. It contains some longer chapters dedicated to surveys and tutorials of specific topics, as well as a great deal of original work by leading experts that has not been published before. It serves as an overview for the inquiring scientist, as a basic foundation for developers and practitioners, and as as a textbook for specialized classes and seminars for graduate and doctoral students.

Dynamical Processes In Condensed Molecular Systems

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Author : Joseph Klafter
language : en
Publisher: World Scientific
Release Date : 1989

Dynamical Processes In Condensed Molecular Systems written by Joseph Klafter and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Science categories.

This review volume provides an up-to-date review of experimental methods and theoretical approaches in the study of dynamical processes in condensed molecular systems. The experimental contributions include hole burning in glasses and in proteins, optical dephasing in glasses, photo-conductivity in polymers, energy transfer among molecules in confining spaces and electron transfer in polar solvents. The theoretical part summarizes recent advances on hole burning, hierarchical aspects of relaxation and transport in disordered systems.

The Geometry Of Random Fields

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Author : Robert J. Adler
language : en
Publisher: SIAM
Release Date : 2010-01-28

The Geometry Of Random Fields written by Robert J. Adler and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-01-28 with Mathematics categories.

An important treatment of the geometric properties of sets generated by random fields, including a comprehensive treatment of the mathematical basics of random fields in general. It is a standard reference for all researchers with an interest in random fields, whether they be theoreticians or come from applied areas.

Stochastic Equations Through The Eye Of The Physicist

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Author : Valery I. Klyatskin
language : en
Publisher: Elsevier
Release Date : 2005-05-20

Stochastic Equations Through The Eye Of The Physicist written by Valery I. Klyatskin and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-05-20 with Science categories.

Fluctuating parameters appear in a variety of physical systems and phenomena. They typically come either as random forces/sources, or advecting velocities, or media (material) parameters, like refraction index, conductivity, diffusivity, etc. The well known example of Brownian particle suspended in fluid and subjected to random molecular bombardment laid the foundation for modern stochastic calculus and statistical physics. Other important examples include turbulent transport and diffusion of particle-tracers (pollutants), or continuous densities (''oil slicks''), wave propagation and scattering in randomly inhomogeneous media, for instance light or sound propagating in the turbulent atmosphere. Such models naturally render to statistical description, where the input parameters and solutions are expressed by random processes and fields. The fundamental problem of stochastic dynamics is to identify the essential characteristics of system (its state and evolution), and relate those to the input parameters of the system and initial data. This raises a host of challenging mathematical issues. One could rarely solve such systems exactly (or approximately) in a closed analytic form, and their solutions depend in a complicated implicit manner on the initial-boundary data, forcing and system's (media) parameters . In mathematical terms such solution becomes a complicated "nonlinear functional" of random fields and processes. Part I gives mathematical formulation for the basic physical models of transport, diffusion, propagation and develops some analytic tools. Part II and III sets up and applies the techniques of variational calculus and stochastic analysis, like Fokker-Plank equation to those models, to produce exact or approximate solutions, or in worst case numeric procedures. The exposition is motivated and demonstrated with numerous examples. Part IV takes up issues for the coherent phenomena in stochastic dynamical systems, described by ordinary and partial differential equations, like wave propagation in randomly layered media (localization), turbulent advection of passive tracers (clustering), wave propagation in disordered 2D and 3D media. For the sake of reader I provide several appendixes (Part V) that give many technical mathematical details needed in the book. - For scientists dealing with stochastic dynamic systems in different areas, such as hydrodynamics, acoustics, radio wave physics, theoretical and mathematical physics, and applied mathematics - The theory of stochastic in terms of the functional analysis - Referencing those papers, which are used or discussed in this book and also recent review papers with extensive bibliography on the subject

Fluctuations In Markov Processes

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Author : Tomasz Komorowski
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-07-05

Fluctuations In Markov Processes written by Tomasz Komorowski and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-05 with Mathematics categories.

The present volume contains the most advanced theories on the martingale approach to central limit theorems. Using the time symmetry properties of the Markov processes, the book develops the techniques that allow us to deal with infinite dimensional models that appear in statistical mechanics and engineering (interacting particle systems, homogenization in random environments, and diffusion in turbulent flows, to mention just a few applications). The first part contains a detailed exposition of the method, and can be used as a text for graduate courses. The second concerns application to exclusion processes, in which the duality methods are fully exploited. The third part is about the homogenization of diffusions in random fields, including passive tracers in turbulent flows (including the superdiffusive behavior). There are no other books in the mathematical literature that deal with this kind of approach to the problem of the central limit theorem. Hence, this volume meets the demand for a monograph on this powerful approach, now widely used in many areas of probability and mathematical physics. The book also covers the connections with and application to hydrodynamic limits and homogenization theory, so besides probability researchers it will also be of interest also to mathematical physicists and analysts.