Titlebook: Approaching the Kannan-Lovász-Simonovits and Variance Conjectures; David Alonso-Gutiérrez,Jesús Bastero Book 2015 Springer International P

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https://doi.org/10.1007/978-3-319-13263-146Bxx,52Axx,60-XX,28Axx; ; Convex bodies; Isoperimetric inequalities; Poincaré‘s inequalities for log-co

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成绩上升

暂时休息

Karrierestart und Zukunftssicherungblem will be sketched. Besides, the reader can find in this chapter a sketch of the proof of the best general estimate of the thin-shell width known up to now, due to Guédon and Milman, and how the variance conjecture, despite of being weaker than the KLS conjecture, implies the latter up to a logarithmic factor, as Eldan proved.

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The Conjectures,iginally posed in relation with some problems in theoretical computer science, and the variance conjecture, which appeared independently in relation with the central limit problem for isotropic convex bodies and is a particular case of the KLS conjecture. The relation of the KLS conjecture with Chee

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Relating the Conjectures,blem will be sketched. Besides, the reader can find in this chapter a sketch of the proof of the best general estimate of the thin-shell width known up to now, due to Guédon and Milman, and how the variance conjecture, despite of being weaker than the KLS conjecture, implies the latter up to a logar

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Book 2015e, 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 treated topics. Offering a presentation suitable for professionals with little background in analysis, geometry or probability, the

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https://doi.org/10.1007/978-3-8349-6538-7will be explained. Regarding the variance conjecture, it will be explained how this conjecture is equivalent to the thin-shell width conjecture and how it is implied by a strong property in some log-concave measures: The square negative correlation property.

外露

The Conjectures,will be explained. Regarding the variance conjecture, it will be explained how this conjecture is equivalent to the thin-shell width conjecture and how it is implied by a strong property in some log-concave measures: The square negative correlation property.