000 | 03623cam a2200505 4500 | ||
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001 | 1865719242 | ||
003 | DE-627 | ||
005 | 20240420050132.0 | ||
007 | tu | ||
008 | 231016s2023 sz ||||| 00| ||eng c | ||
020 |
_a9783031262999 _cpbk _9978-3-031-26299-9 |
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024 | 7 |
_a10.1007/978-3-031-26300-2 _2doi |
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035 | _a(DE-627)1865719242 | ||
035 | _a(DE-599)KXP1865719242 | ||
035 | _a(OCoLC)1407496211 | ||
040 |
_aDE-627 _bger _cDE-627 _erda |
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041 | _aeng | ||
044 | _cXA-CH | ||
084 |
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084 |
_a31.46 _2bkl |
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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] |
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264 | 4 | _c© 2023 | |
300 | _aviii, 438 Seiten | ||
336 |
_aText _btxt _2rdacontent |
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337 |
_aohne Hilfsmittel zu benutzen _bn _2rdamedia |
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338 |
_aBand _bnc _2rdacarrier |
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490 | 1 |
_aLecture notes in mathematics _vvolume 2327 |
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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 _0(DE-588)1071861417 _0(DE-627)826484824 _0(DE-576)433375485 _2gnd-content |
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700 | 1 |
_aEldan, Ronen _eHerausgeberIn _0(DE-588)1306208467 _0(DE-627)1865723495 _4edt _970341 |
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700 | 1 |
_aKlartag, Bo'az _d1978- _eHerausgeberIn _0(DE-588)1064116639 _0(DE-627)812952332 _0(DE-576)423644831 _4edt _945984 |
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700 | 1 |
_aLitvak, Alexander _eHerausgeberIn _4edt |
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700 | 1 |
_aMilman, Emanuel _eHerausgeberIn _0(DE-588)1139442570 _0(DE-627)897171330 _0(DE-576)493274715 _4edt _949570 |
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710 | 2 |
_aSpringer Nature Switzerland AG _eVerlag _0(DE-588)1211528561 _0(DE-627)1699821925 _4pbl _969462 |
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711 | 2 |
_aGAFA _gVeranstaltung _d2020-2022 _cTel Aviv _jVerfasserIn _0(DE-588)1306204925 _0(DE-627)1865717894 _4aut _970340 |
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776 | 1 |
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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 |
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856 | 4 | 2 |
_uhttps://zbmath.org/7756336 _yzbMATH _zReview |
936 | b | k |
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951 | _aBO | ||
999 |
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