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2 produkter
2 produkter
Del 2131 - Lecture Notes in Mathematics
Approaching the Kannan-Lovász-Simonovits and Variance Conjectures
Häftad, Engelska, 2015
377 kr
Skickas inom 10-15 vardagar
Focusing on two central conjectures 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 treated topics. Offering a presentation 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, giving the interested reader rapid access to the core of these conjectures.In addition, four recent and important results in this theory are presented in a compelling way. The first two are theorems due to Eldan-Klartag and Ball-Nguyen, relating the variance and the KLS conjectures, respectively, to the hyperplane conjecture. Next, the main ideas needed 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 are detailed.
Del 1221 - Lecture Notes in Mathematics
Probability and Banach Spaces
Proceedings of a Conference held in Zaragoza, June 17-21, 1985
Häftad, Engelska, 1986
376 kr
Skickas inom 7-10 vardagar