000 | 03285nam a22005055i 4500 | ||
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001 | 978-3-319-13263-1 | ||
003 | DE-He213 | ||
005 | 20190213151853.0 | ||
007 | cr nn 008mamaa | ||
008 | 150107s2015 gw | s |||| 0|eng d | ||
020 |
_a9783319132631 _9978-3-319-13263-1 |
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024 | 7 |
_a10.1007/978-3-319-13263-1 _2doi |
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050 | 4 | _aQA319-329.9 | |
072 | 7 |
_aPBKF _2bicssc |
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_aMAT037000 _2bisacsh |
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_aPBKF _2thema |
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082 | 0 | 4 |
_a515.7 _223 |
100 | 1 |
_aAlonso-Gutiérrez, David. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aApproaching the Kannan-Lovász-Simonovits and Variance Conjectures _h[electronic resource] / _cby David Alonso-Gutiérrez, Jesús Bastero. |
264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2015. |
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300 |
_aX, 148 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v2131 |
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505 | 0 | _aThe Conjectures -- Main Examples -- Relating the Conjectures -- Appendix -- Index. | |
520 | _aFocusing on two central conjectures from the field of Asymptotic Geometric Analysis, the Kannan-Lovász-Simonovits spectral gap conjecture and the variance conjecture, these Lecture Notes present the theory in an accessible way, so that interested readers, even those who are not experts in the field, will be able to appreciate the topics treated. Employing a style suitable for professionals with little background in analysis, geometry or probability, the work goes directly to the connection between isoperimetric-type inequalities and functional inequalities, allowing readers to quickly access the core of these conjectures. In addition, four recent and important results concerning this theory are presented. The first two are theorems attributed to Eldan-Klartag and Ball-Nguyen, which relate the variance and the KLS conjectures, respectively, to the hyperplane conjecture. The remaining two present in detail the main ideas needed to prove the best known estimate for the thin-shell width given by Guédon-Milman, and an approach to Eldan’s work on the connection between the thin-shell width and the KLS conjecture. | ||
650 | 0 | _aFunctional analysis. | |
650 | 0 | _aDiscrete groups. | |
650 | 0 | _aDistribution (Probability theory. | |
650 | 1 | 4 |
_aFunctional Analysis. _0http://scigraph.springernature.com/things/product-market-codes/M12066 |
650 | 2 | 4 |
_aConvex and Discrete Geometry. _0http://scigraph.springernature.com/things/product-market-codes/M21014 |
650 | 2 | 4 |
_aProbability Theory and Stochastic Processes. _0http://scigraph.springernature.com/things/product-market-codes/M27004 |
700 | 1 |
_aBastero, Jesús. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783319132648 |
776 | 0 | 8 |
_iPrinted edition: _z9783319132624 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v2131 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-319-13263-1 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
999 |
_c12168 _d12168 |