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Titlebook: Geometric Aspects of Functional Analysis; Israel Seminar (GAFA Bo‘az Klartag,Emanuel Milman Book 2014 Springer International Publishing Swi

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On the Oscillation Rigidity of a Lipschitz Function on a High-Dimensional Flat Torus,the subtorus . is nearly a constant function. The .-dimensional subtorus . is selected randomly and uniformly. We show that when ., the maximum and the minimum of . on this random subtorus . differ by at most ., with high probability.
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Logarithmically-Concave Moment Measures I,log-concave measure in .. We use this metric in order to bound the second derivatives of the solution to the toric Kähler-Einstein equation, and in order to obtain spectral-gap estimates similar to those of Payne and Weinberger.
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0075-8434 The interplay between the real convex and complex pluri-subharmonic settings continues to manifest itself in several additional articles. All contributions are original research papers and wer978-3-319-09476-2978-3-319-09477-9Series ISSN 0075-8434 Series E-ISSN 1617-9692
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Book 2014ield of Classical Convexity is also well represented with new properties and applications of mixed-volumes. The interplay between the real convex and complex pluri-subharmonic settings continues to manifest itself in several additional articles. All contributions are original research papers and wer
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Dyson Processes Associated with Associative Algebras: The Clifford Case,tructed from algebra structures, and look at their associated spectral measure processes. This leads to the identification of the multiplicity of the eigenvalues, together with the identification of the spectral measures. For Clifford algebras, we thus recover Bott’s periodicity.
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