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020 _a9783031262999
_cpbk
_9978-3-031-26299-9
024 7 _a10.1007/978-3-031-26300-2
_2doi
035 _a(DE-627)1865719242
035 _a(DE-599)KXP1865719242
035 _a(OCoLC)1407496211
040 _aDE-627
_bger
_cDE-627
_erda
041 _aeng
044 _cXA-CH
084 _a26D10
_a47D07
_a60G10
_a60J60
_a52A39
_a52A40
_2msc
084 _a31.46
_2bkl
111 2 _aGAFA
_gVeranstaltung
_d2020-2022
_cTel Aviv
_jVerfasserIn
_0(DE-588)1306204925
_0(DE-627)1865717894
_4aut
_970340
245 1 0 _aGeometric aspects of functional analysis
_bIsrael Seminar (GAFA) 2020-2022
_cRonen Eldan, Bo'az Klartag, Alexander Litvak, Emanuel Milman, editors
264 1 _aCham
_bSpringer
_c[2023]
264 4 _c© 2023
300 _aviii, 438 Seiten
336 _aText
_btxt
_2rdacontent
337 _aohne Hilfsmittel zu benutzen
_bn
_2rdamedia
338 _aBand
_bnc
_2rdacarrier
490 1 _aLecture notes in mathematics
_vvolume 2327
500 _aLiteraturangaben
520 _aThis book reflects general trends in the study of geometric aspects of functional analysis, understood in a broad sense. A classical theme in the local theory of Banach spaces is the study of probability measures in high dimension and the concentration of measure phenomenon. Here this phenomenon is approached from different angles, including through analysis on the Hamming cube, and via quantitative estimates in the Central Limit Theorem under thin-shell and related assumptions. Classical convexity theory plays a central role in this volume, as well as the study of geometric inequalities. These inequalities, which are somewhat in spirit of the Brunn-Minkowski inequality, in turn shed light on convexity and on the geometry of Euclidean space. Probability measures with convexity or curvature properties, such as log-concave distributions, occupy an equally central role and arise in the study of Gaussian measures and non-trivial properties of the heat flow in Euclidean spaces. Also discussed are interactions of this circle of ideas with linear programming and sampling algorithms, including the solution of a question in online learning algorithms using a classical convexity construction from the 19th century.
655 7 _aKonferenzschrift
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_0(DE-627)826484824
_0(DE-576)433375485
_2gnd-content
700 1 _aEldan, Ronen
_eHerausgeberIn
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_0(DE-627)1865723495
_4edt
_970341
700 1 _aKlartag, Bo'az
_d1978-
_eHerausgeberIn
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_4edt
_945984
700 1 _aLitvak, Alexander
_eHerausgeberIn
_4edt
700 1 _aMilman, Emanuel
_eHerausgeberIn
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_0(DE-627)897171330
_0(DE-576)493274715
_4edt
_949570
710 2 _aSpringer Nature Switzerland AG
_eVerlag
_0(DE-588)1211528561
_0(DE-627)1699821925
_4pbl
_969462
711 2 _aGAFA
_gVeranstaltung
_d2020-2022
_cTel Aviv
_jVerfasserIn
_0(DE-588)1306204925
_0(DE-627)1865717894
_4aut
_970340
776 1 _z9783031263002
_cebook
776 0 8 _iErscheint auch als
_nOnline-Ausgabe
_tGeometric Aspects of Functional Analysis
_dCham : Springer International Publishing, 2023
_h1 Online-Ressource (VIII, 440 p. 3 illus.)
_w(DE-627)1860645569
_z9783031263002
830 0 _aLecture notes in mathematics
_w(DE-627)130160911
_w(DE-576)015703274
_w(DE-600)517955-5
_x0075-8434
_7ns
_v2327
856 4 2 _uhttps://zbmath.org/7756336
_yzbMATH
_zReview
936 b k _a31.46
_jFunktionalanalysis
_0(DE-627)106411217
951 _aBO
999 _c99054
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