 Moklyachuk, Mikhail P., author.
 Hauppauge, New York : Nova Science Publishers, 2018.
 Description
 Book — 1 online resource.
 Summary

 Estimates of functionals of discrete time homogeneous random fields
 Estimates of functionals of discrete time periodically correlated isotropic random fields
 Estimates of functionals of continuous time homogeneous random fields
 Estimates of functionals of continuous time periodically correlated isotropic random fields.
 Adler, Robert J.
 Berlin ; Heidelberg ; New York : Springer, ©2011.
 Description
 Book — 1 online resource (viii, 122 pages) Digital: text file.PDF.
 Summary

 Gaussian processes
 Some geometry and some topology
 The Gaussian kinematic formula
 On applications: topological inference
 Algebraic topology of excursions sets: a new challenge.
3. Random fields : analysis and synthesis [2010]
 Vanmarcke, Erik.
 Rev. and expanded new ed.  Hackensack, NJ : World Scientific, c2010.
 Description
 Book — xi, 350 p. : ill. ; 24 cm.
 Summary

 Review of Basic Probability Theory in a Random Field Context
 New QuantumPhysicsBased Probability Distributions
 Correlation and SpectralDensity Functions
 Efficient Characterization in Term of the Scale of Fluctuation
 Spectral Parameters, Level Excursions and Extremes
 Local Average Processes
 Robust Stochastic Finite Element Modeling
 Stochastic Growth Processes
 Multiscale Random Fields and Fractal Variation
 Estimation, Prediction and Optimal Sampling.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA274.45 .V36 2010  Unknown 
 Khoshnevisan, Davar.
 New York : SpringerVerlag, c2002.
 Description
 Book — xix, 584 p. : ill. ; 25 cm.
 Online
SAL3 (offcampus storage)
SAL3 (offcampus storage)  Status 

Stacks  Request (opens in new tab) 
QA274.45 .K58 2002  Available 
 Guyon, Xavier.
 New York : SpringerVerlag, 1995.
 Description
 Book — xii, 255 p. : ill. ; 24 cm.
 Summary

The theory of spatial models over lattices, or random fields as they are known, has developed significantly over recent years. This book provides a graduatelevel introduction to the subject which assumes only a basic knowledge of probability and statistics, finite Markov chains, and the spectral theory of secondorder processes. A particular strength of this book is its emphasis on examples  both to motivate the theory which is being developed, and to demonstrate the applications which range from statistical mechanics to image analysis and from statistics to stochastic algorithms.
(source: Nielsen Book Data)
 Online
SAL3 (offcampus storage)
SAL3 (offcampus storage)  Status 

Stacks  Request (opens in new tab) 
QA274.45 .G89 1995  Available 
6. Random fields, analysis and synthesis [1983]
 Vanmarcke, Erik.
 Cambridge, Mass. : MIT Press, c1983.
 Description
 Book — xii, 382 p. : ill. ; 24 cm.
 Online
SAL3 (offcampus storage)
SAL3 (offcampus storage)  Status 

Stacks  Request (opens in new tab) 
QA274.45 .V36 1983  Available 
QA274.45 .V36 1983  Available 
7. The geometry of random fields [1981]
 Adler, Robert J.
 Chichester [Eng.] ; New York : J. Wiley, c1981.
 Description
 Book — xi, 280 p. ; 24 cm.
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA274.45 .A34  Unknown 
QA274.45 .A34  Unknown 
 IFIP WG 7.1 Working Conference (4th : 1982 : Bangalore, India)
 Berlin ; New York : SpringerVerlag, 1983.
 Description
 Book — vi, 290 p. ; 25 cm.
SAL3 (offcampus storage)
SAL3 (offcampus storage)  Status 

Stacks  Request (opens in new tab) 
QA274.45 .I37 1982  Available 
 Cham ; New York : Springer, [2015]
 Description
 Book — vii, 205 pages ; 24 cm.
 Summary

 1 Random Polymers. 2 Spontaneous replica symmetry breaking and interpolation methods for complex statistical mechanics systems. 3 Derrida's random energy models: from spin glasses to the extremes of correlated random fields. 4 Isomorphism Theorems: Markov processes, Gaussian processes and beyond. 5 Spectral properties of Wigner matrices.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Serials  
Shelved by Series title V.2143  Unknown 
 Malyarenko, Anatoliy.
 1st ed.  Berlin : Springer, c2013.
 Description
 Book — xvii, 261 p. ; 24 cm.
 Summary

 1.Introduction. 2.Spectral Expansions. 3.L2 Theory of Invariant Random Fields. 4.Sample Path Properties of Gaussian Invariant Random Fields. 5.Applications. A.Mathematical Background. References. Index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA274.45 .M359 2013  Unknown CHECKEDOUT 
 Bricio Hernández, Diego.
 Singapore ; River Edge, N.J. : World Scientific Pub. Co., c1995.
 Description
 Book — xii, 146 p. : ill.
 Summary

 Random variables
 random vectors
 sampling random variables
 second order properties
 the Fourier transform
 second order random fields
 spectral representation of random fields
 sampling and modelling random fields
 the sources.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Description
 Book
 Summary

In recent years many researchers have investigated the use of Markov random fields (MRFs) for computer vision. The computational complexity of the implementation has been a drawback of MRFs. In this paper we derive deterministic approximations to MRFs models. All the theoretical results are obtained in the framework of the mean field theory from statistical mechanics. Because we use MRFs models the mean field equations lead to parallel and iterative algorithms. One of the considered models for image reconstruction is shown to give in a natural way the graduate nonconvexity algorithm proposed by Blake and Zisserman.
 Online
Media & Microtext Center
Media & Microtext Center  Status 

Find it Microfiche collection C  
441114  Inlibrary use 
 Description
 Book — 28p.
 Online
SAL3 (offcampus storage), Special Collections
SAL3 (offcampus storage)  Status 

Stacks  Request (opens in new tab) 
273103  Available 
Special Collections  Status 

University Archives  Request via Aeon (opens in new tab) 
273103  Inlibrary use 
14. Stochastic modeling of microstructures [2001]
 Sobczyk, Kazimierz.
 Boston : Birkhäuser, c2001.
 Description
 Book — viii, 270 p. : ill. ; 24 cm.
 Summary

This book presents the language of random field theory and the principles of stochastic geometry in order to give the systematic and concise knowledge necessary for modeling real random heterogeneous media. This book is ideal for a general scientific audience needing an indepth guide to current ideas, methods and models for the stochastic modeling of microstructures. It is an essential reference for practitioners, researchers and professionals in material modeling, mechanical engineering, materials science, chemical, civil, environmental engineering and applied mathematics.
(source: Nielsen Book Data)
 Online
SAL3 (offcampus storage)
SAL3 (offcampus storage)  Status 

Stacks  Request (opens in new tab) 
QA274.45 .S63 2001  Available 
 Mandrekar, V. (Vidyadhar), 1939 author.
 Boca Raton, FL : CRC Press, [2018]
 Description
 Book — 1 online resource.
 Summary

 Introduction Weakly Stationary Sequences Preliminaries Examples of Weakly Stationary Sequences Spectral Representation of the Covariance Function Examples of Spectral Measures Canonical Isomorphism between L2(T
 FX) and L(X) Spectral Representation of a Weakly Stationary Sequence The Shift Operator on L(X) Moving Averages and Densities Regular and Singular Sequences Examples of Regular and Singular Sequences The Wold Decomposition The Theory of Regular Sequences The Concordance Theorem Maximal Factors and Innovation Processes The Szeg oKreinKolmogorov Theorem Weakly Stationary Random Fields Preliminaries Examples Random Field with Discrete Spectral Measure Product Random Field White Noise Random Field Moving Average Random Field Regularity and Singularity Examples Horizontally and Vertically Singular Horizontally Regular and Vertically Singular Horizontally and Vertically Regular Horizontal and Vertical Wold Decomposition Regularity and the Spectral Measure Spectral Measures and Spectraltype Wold Decompositions The Fourfold Wold Decomposition Quarterplane Moving Average Representations HelsonLowdenslager Theory Semigroup Moving Average Representations WoldType Decompositions Invariant Subspaces The Halmos Decomposition Invariant Subspaces of L2(T) Invariant Subspaces of H2(T) The Halmos Fourfold Decomposition The Doubly Commuting Condition Invariant Subspaces of L2(T2) Invariant Subspaces of H2(T2) Applications and Generalizations Texture Identi_cation Invariant Subspaces of Lp(T) Harmonizable S_S Sequences Invariant Subspaces of Lp(T2) Harmonizable S_S Fields Proper MA Representations and Outer Functions Background Material Projections Orthogonally Scattered Set Functions Representation Theorems Bibliography.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Online

 EBSCOhost Access limited to 3 simultaneous users
 Google Books (Full view)
 Mandrekar, V. (Vidyadhar), 1939 author.
 Boca Raton : CRC Press, [2018]
 Description
 Book — 1 online resource (x, 182 pages)
 Summary

 Introduction Weakly Stationary Sequences Preliminaries Examples of Weakly Stationary Sequences Spectral Representation of the Covariance Function Examples of Spectral Measures Canonical Isomorphism between L2(T
 FX) and L(X) Spectral Representation of a Weakly Stationary Sequence The Shift Operator on L(X) Moving Averages and Densities Regular and Singular Sequences Examples of Regular and Singular Sequences The Wold Decomposition The Theory of Regular Sequences The Concordance Theorem Maximal Factors and Innovation Processes The Szeg oKreinKolmogorov Theorem Weakly Stationary Random Fields Preliminaries Examples Random Field with Discrete Spectral Measure Product Random Field White Noise Random Field Moving Average Random Field Regularity and Singularity Examples Horizontally and Vertically Singular Horizontally Regular and Vertically Singular Horizontally and Vertically Regular Horizontal and Vertical Wold Decomposition Regularity and the Spectral Measure Spectral Measures and Spectraltype Wold Decompositions The Fourfold Wold Decomposition Quarterplane Moving Average Representations HelsonLowdenslager Theory Semigroup Moving Average Representations WoldType Decompositions Invariant Subspaces The Halmos Decomposition Invariant Subspaces of L2(T) Invariant Subspaces of H2(T) The Halmos Fourfold Decomposition The Doubly Commuting Condition Invariant Subspaces of L2(T2) Invariant Subspaces of H2(T2) Applications and Generalizations Texture Identi_cation Invariant Subspaces of Lp(T) Harmonizable S_S Sequences Invariant Subspaces of Lp(T2) Harmonizable S_S Fields Proper MA Representations and Outer Functions Background Material Projections Orthogonally Scattered Set Functions Representation Theorems Bibliography.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Heidelberg ; New York : Springer, c2012.
 Description
 Book — xii, 186 p. : ill. (some col.) ; 24 cm.
 Summary

 Fractional Levy Fields. The Theory of Scale Functions for Spectrally Negative Levy Processes.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Serials  
Shelved by Series title V.2061  Unknown 
 Adler, Robert J.
 Heidelberg ; New York : Springer, c2011.
 Description
 Book — viii, 122 p. : ill. (some col.) ; 24 cm.
 Summary

 1 Introduction. 2 Gaussian Processes. 3 Some Geometry and Some Topology. 4 The Gaussian Kinematic Formula. 5 On Applications: Topological Inference. 6 Algebraic Topology of Excursion Sets: A New Challenge.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Serials  
Shelved by Series title V.2019  Unknown 
19. Collecting spatial data [electronic resource] : optimum design of experiments for random fields [2007]
 Müller, W. G. (Werner G.)
 3rd rev. and extended ed.  Berlin ; New York : Springer, c2007.
 Description
 Book — xii, 242 p. : ill.
 Summary

 Fundamentals of Spatial Statistics. Fundamentals of Experimental Design. Exploratory Designs. Designs for Spatial Trend Estimation. Design and Dependence. Multipurpose Designs.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Ramm, A. G. (Alexander G.)
 Singapore ; Hackensack, N.J. : World Scientific, c2005.
 Description
 Book — xiii, 373 p.
 Summary

 Formulation of Basic Results Numerical Solution of the Basic Integral Equation in Distributions Proofs Singular Perturbation Theory for a Class of Fredholm Integral Equations Arising in Random Fields Estimation Theory Estimation and Scattering Theory Applications Auxiliary Results Appendices: Analytical Solution of the Basic Integral Equation for a Class of OneDimensional Problems Integral Operators Basic in Random Fields Estimation Theory.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
Articles+
Journal articles, ebooks, & other eresources
Guides
Course and topicbased guides to collections, tools, and services.