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LEADER: 02581nam a22004335a 4500
001 013839529-2
005 20131206201032.0
008 121227s2002 xxu| s ||0| 0|eng d
020 $a9780387216317
020 $a9780387216317
020 $a9780387954592
024 7 $a10.1007/b97363$2doi
035 $a(Springer)9780387216317
040 $aSpringer
050 4 $aQA273.A1-274.9
050 4 $aQA274-274.9
072 7 $aPBT$2bicssc
072 7 $aPBWL$2bicssc
072 7 $aMAT029000$2bisacsh
082 04 $a519.2$223
100 1 $aKhoshnevisan, Davar,$eauthor.
245 10 $aMultiparameter Resources :$bAn Introduction to Random Fields /$cby Davar Khoshnevisan.
264 1 $aNew York, NY :$bSpringer New York,$c2002.
300 $aXIX, 584 p. 8 illus.$bonline resource.
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
347 $atext file$bPDF$2rda
490 1 $aSpringer Monographs in Mathematics,$x1439-7382
505 0 $aDiscrete-Parameter Random Fields: Discrete Parameter. Martingales. Two Applications in Analysis. Random Walks. Multiparameter Walks. Gaussian Random Walks. Limit Theorems -- Continuous-Parameter Random Fields: Continuous Parameter Martingales. Constructing Markov Processes. Generation of Markov Processes. Probabilistic Potential Theory. Multiparameter Markov Processes. Brownian Sheet and Potential Theory -- Appendices: Kolmogorov's Consistency Theorem. Laplace Transforms. Hausdorff Dimensions and Measures. Energy and Capacity.
520 $aMultiparameter processes extend the existing one-parameter theory of random processes in an elegant way, and have found connections to diverse disciplines such as probability theory, real and functional analysis, group theory, analytic number theory, and group renormalization in mathematical physics, to name a few. This book lays the foundation of aspects of the rapidly-developing subject of random fields, and is designed for a second graduate course in probability and beyond. Its intended audience is pure, as well as applied, mathematicians. Davar Khoshnevisan is Professor of Mathematics at the University of Utah. His research involves random fields, probabilistic potential theory, and stochastic analysis.
650 10 $aMathematics.
650 0 $aDistribution (Probability theory)
650 0 $aMathematics.
650 24 $aProbability Theory and Stochastic Processes.
776 08 $iPrinted edition:$z9780387954592
830 0 $aSpringer Monographs in Mathematics.
988 $a20131119
906 $0VEN