| Record ID | marc_columbia/Columbia-extract-20221130-016.mrc:25667443:2856 |
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LEADER: 02856cam a2200361 a 4500
001 7590329
005 20221201012525.0
008 090715s2010 riu b 001 0 eng
010 $a 2009026903
020 $a9780821848203 (alk. paper)
020 $a0821848208 (alk. paper)
035 $a(OCoLC)ocn426147172
035 $a(OCoLC)426147172
035 $a(NNC)7590329
035 $a7590329
040 $aDLC$cDLC$dOrLoB-B
050 00 $aQA274.73$b.C44 2010.
082 00 $a519.2/82$222
100 1 $aChen, Xia,$d1956-$0http://id.loc.gov/authorities/names/n99006724
245 10 $aRandom walk intersections :$blarge deviations and related topics /$cXia Chen.
260 $aProvidence, R.I. :$bAmerican Mathematical Society,$c2010.
263 $a0912
300 $a332 pages ;$c26 cm.
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
490 1 $aMathematical surveys and monographs ;$vv. 157
504 $aIncludes bibliographical references and index.
505 00 $gCh. 1.$tBasics on large deviations -- $gCh. 2.$tBrownian intersection local times -- $gCh. 3.$tMutual intersection: large deviations -- $gCh. 4.$tSelf-intersection: large deviations -- $gCh. 5.$tIntersections on lattices: weak convergence -- $gCh. 6.$tInequalities and integrabilities -- $gCh. 7.$tIndependent random walks: large deviations -- $gCh. 8.$tSingle random walk: large deviations -- $gApp. A.$tGreen's function -- $gApp. B.$tFourier transformation -- $gApp. C.$tConstant [kappa](d,p) and related variations -- $gApp. D.$tRegularity of stochastic processes -- $gApp. E.$tSelf-adjoint operators.
520 1 $a"The material covered in this book involves important and nontrivial results in contemporary probability theory motivated by polymer models, as well as other topics of importance in physics and chemistry. The development carefully provides the basic definitions of mutual intersection and self-intersection local times for Brownian motions and the accompanying large deviation results. The book then proceeds to the analogues of these concepts and results for random walks on lattices of R[superscript d]. This includes suitable integrability and large deviation results for these models and some applications. Moreover, the notes and comments at the end of the chapters provide interesting remarks and references to various related results, as well as a good number of exercises. The author provides a beautiful development of these subtle topics at a level accessible to advanced graduate students."--BOOK JACKET.
650 0 $aRandom walks (Mathematics)$0http://id.loc.gov/authorities/subjects/sh85111357
650 0 $aLarge deviations.$0http://id.loc.gov/authorities/subjects/sh85074707
830 0 $aMathematical surveys and monographs ;$vno. 157.$0http://id.loc.gov/authorities/names/n83732928
852 00 $bmat$hQA274.73$i.C44 2010g