Record ID | marc_loc_2016/BooksAll.2016.part42.utf8:25356124:3633 |
Source | Library of Congress |
Download Link | /show-records/marc_loc_2016/BooksAll.2016.part42.utf8:25356124:3633?format=raw |
LEADER: 03633cam a22005297i 4500
001 2014932986
003 DLC
005 20150828091610.0
008 140210t20142014gw b 001 0 eng d
010 $a 2014932986
015 $a14,N02$2dnb
016 7 $a1045790192$2GyFmDB
020 $a9783642540745$qalk. paper)
020 $a3642540740$q(alk. paper)
020 $z9783642540752$q(ebook)
020 $z3642540759$q(ebook)
028 52 $aBest.-Nr.: 86357483
035 $a(OCoLC)ocn873529598
040 $aOHX$beng$cOHX$erda$dOCLCO$dYDXCP$dBTCTA$dINT$dFDA$dDEBBG$dOCLCF$dOCLCQ$dCDX$dUA@$dDLC
042 $alccopycat
050 00 $aQA274$b.T335 2014
072 7 $aQA$2lcco
082 04 $a519.2/3$223
084 $a510$2sdnb
084 $aSK 820$2rvk
100 1 $aTalagrand, Michel,$d1952-$eauthor.
245 10 $aUpper and lower bounds for stochastic processes :$bmodern methods and classical problems /$cMichel Talagrand.
264 1 $aHeidelberg ;$aNew York :$bSpringer,$c[2014]
264 4 $c©2014
300 $axv, 626 pages ;$c25 cm.
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
338 $avolume$bnc$2rdacarrier
490 1 $aErgebnisse der Mathematik und ihrer Grenzgebiete : a series of modern surveys in mathematics,$x0071-1136 ;$v3. Folge, volume 60
504 $aIncludes bibliographical references (pages 617-624) and index.
505 0 $a1. Philosophy and Overview of the Book -- 2. Gaussian Processes and the Generic Chaining -- 3. Random Fourier Series and Trigonometric Sums, I. -- 4. Matching Theorems I -- 5. Bernouilli Processes -- 6. Trees and the Art of Lower Bounds -- 7. Random Fourier Series and Trigonometric Sums, II -- 8. Processes Related to Gaussian Processes -- 9. Theory and Practice of Empirical Processes -- 10. Partition Scheme for Families of Distances -- 11. Infinitely Divisible Processes -- 12. The Fundamental Conjectures -- 13. Convergence of Orthogonal Series; Majorizing Measures -- 14. Matching Theorems, II: Shor's Matching Theorem. 15. The Ultimate Matching Theorem in Dimension>̲ 3 -- 16. Applications to Banach Space Theory -- 17. Appendix: What this Book is Really About -- 18. Appendix: Continuity.
520 $aThe book develops modern methods and in particular the "generic chaining" to bound stochastic processes. This methods allows in particular to get optimal bounds for Gaussian and Bernoulli processes. Applications are given to stable processes, infinitely divisible processes, matching theorems, the convergence of random Fourier series, of orthogonal series, and to functional analysis. The complete solution of a number of classical problems is given in complete detail, and an ambitious program for future research is laid out. --$cSource other Library of Congress.
650 0 $aStochastic processes.
650 0 $aGaussian processes.
650 7 $aGaussian processes.$2fast$0(OCoLC)fst00939020
650 7 $aStochastic processes.$2fast$0(OCoLC)fst01133519
650 07 $aStochastischer Prozess.$2gnd$0(DE-588)4057630-9
776 0 $w(GyWOH)har140097896
776 08 $iOnline version:$aTalagrand, Michel, 1952-$tUpper and lower bounds for stochastic processes.$dHeidelberg : Springer, 2014$z9783642540752$w(OCoLC)871255685
830 0 $aErgebnisse der Mathematik und ihrer Grenzgebiete ;$v3. Folge, Bd. 60.
856 41 $3Table of contents$uhttp://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027173722&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
856 42 $uhttp://deposit.d-nb.de/cgi-bin/dokserv?id=4555703&prov=M&dok_var=1&dok_ext=htm$3Inhaltstext