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Titlebook: Geometric Aspects of Functional Analysis; Israel Seminar 2006– Bo‘az Klartag,Shahar Mendelson,Vitali D. Milman Book 2012 Springer-Verlag Be

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Chronic Temporomandibular Joint Dislocation,We survey some interplays between spectral estimates of Hörmander-type, degenerate Monge-Ampère equations and geometric inequalities related to log-concavity such as Brunn-Minkowski, Santaló or Busemann inequalities.
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Disnarration and the Unmentioned in Fiction,We derive two-sided bounds for moments of linear combinations of coordinates of unconditional log-concave vectors. We also investigate how well moments of such combinations may be approximated by moments of Gaussian random variables.
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https://doi.org/10.1007/978-3-030-42738-2For a permutationally invariant unconditional convex body . in . we define a finite sequence . of projections of the body . to the space spanned by first . vectors of the standard basis of .. We prove that the sequence of volumes . is log-concave.
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,Moebius Schrödinger,Consider the one-dimensional lattice Schrödinger operator with potential given by the Moebius function. It is shown that the Lyapounov exponent is strictly positive for almost all energies, answering a question posed by P. Sarnak.
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