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

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Vascular Rings and Pulmonary Artery SlingsWe consider the linear Schr?dinger equation on the three dimensional torus with a bounded spatially dependent potential and prove controllability. This extends the earlier work due to Burq, Zworski and the author in the two dimensional case.

咒語

一大塊

https://doi.org/10.1007/978-981-13-7864-5It is shown that for a subset . that has the global Gabrielov property, a Vitushkin-type estimate holds. Concrete examples are given for sub-level sets of certain classes of functions.

Decibel

EVEN

https://doi.org/10.1007/978-94-009-9960-2A . estimate in the hyperplane problem with arbitrary measures has recently been proved in [.]. In this note we present analogs of this result for sections of lower dimensions and in the complex case. We deduce these inequalities from stability in comparison problems for different generalizations of intersection bodies.

EVEN

Alberto Guadagnini,Shlomo P. NeumanThe Paouris inequality gives the large deviation estimate for Euclidean norms of log-concave vectors. We present a modified version of it and show how the new inequality may be applied to derive tail estimates of ..-norms and suprema of norms of coordinate projections of isotropic log-concave vectors.

Palter

Gaussian Free Field on Hyperbolic Lattices,It is shown that the maximum of the height of the Gaussian free field in a ball of a two dimensional hyperbolic lattice, grows linearly with the radius, while only as a square root of the radius on higher dimensional hyperbolic lattices.

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