Titlebook: Geometric Aspects of Functional Analysis; Israel Seminar (GAFA Bo‘az Klartag,Emanuel Milman Book 2020 Springer Nature Switzerland AG 2020 A

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Dissension in the House of CommonsWe extend the decoupling results of the first two authors to the case of real analytic surfaces of revolution in .. New examples of interest include the torus and the perturbed cone.

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Dissent in the Years of KrushchevWe show that the discrete Hardy–Littlewood maximal functions associated with the Euclidean balls in . with dyadic radii have bounds independent of the dimension on . for . ∈ [2, .].

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Dissimilar Metal Joining by Laser Welding,In the first half of this note we construct Gaussian measures on . which do not satisfy a strong version of the (B)-property. In the second half we discuss equivalent functional formulations of the (B)-conjecture.

EXUDE

Recidivist Converts in Early Modern Europe,We discuss new proofs, and new forms, of a reverse logarithmic Sobolev inequality, with respect to the standard Gaussian measure, for low-complexity functions, measured in terms of Gaussian-width. In particular, we provide a dimension-free improvement for a related result given in Eldan (Geom Funct Anal 28:1548–1596, 2018).

Ingenuity

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,Bobkov’s Inequality via Optimal Control Theory,We give a Bellman proof of Bobkov’s inequality using arguments of dynamic programming. As a byproduct of the method we obtain a characterization of smooth optimizers.

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Arithmetic Progressions in the Trace of Brownian Motion in Space,It is shown that the trace of three dimensional Brownian motion contains arithmetic progressions of length 5 and no arithmetic progressions of length 6 a.s.

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