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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	5	2	_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	0	0	_aQA274 _b.T335 2014
072		7	_aQA _2lcco
082	0	4	_a519.2/3 _223
084			_a510 _2sdnb
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�> 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 _eepcn _f20 _gy-gencatlg
942			_2ddc