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020 _z9783642540752
_q(ebook)
020 _z3642540759
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028 5 2 _aBest.-Nr.: 86357483
035 _a(OCoLC)ocn873529598
040 _aOHX
_beng
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_dOCLCO
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042 _alccopycat
050 0 0 _aQA274
_b.T335 2014
072 7 _aQA
_2lcco
082 0 4 _a519.2/3
_223
084 _a510
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084 _aSK 820
_2rvk
100 1 _aTalagrand, Michel,
_d1952-
_eauthor.
_969859
245 1 0 _aUpper and lower bounds for stochastic processes :
_bmodern methods and classical problems /
_cMichel Talagrand.
264 1 _aHeidelberg ;
_aNew York :
_bSpringer,
_c[2014]
264 4 _c2014
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´┐Ż> 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.
_91109
650 0 _aGaussian processes.
_93335
650 7 _aGaussian processes.
_2fast
_0(OCoLC)fst00939020
_93335
650 7 _aStochastic processes.
_2fast
_0(OCoLC)fst01133519
_91109
650 0 7 _aStochastischer Prozess.
_2gnd
_0(DE-588)4057630-9
_9939
776 0 _w(GyWOH)har140097896
776 0 8 _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.
_9299817
856 4 1 _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 4 2 _uhttp://deposit.d-nb.de/cgi-bin/dokserv?id=4555703&prov=M&dok_var=1&dok_ext=htm
_3Content description
856 4 2 _3Publisher description
_uhttp://www.loc.gov/catdir/enhancements/fy1607/2014932986-d.html
906 _a7
_bcbc
_ccopycat
_d2
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942 _2ddc