Titlebook: Convexity and Concentration; Eric Carlen,Mokshay Madiman,Elisabeth M. Werner Conference proceedings 2017 Springer Science+Business Media L

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,Zelluläre Marker der Schizophrenie,. By laws of large numbers, these randomized versions recover the classical inequalities. We give an overview of when such stochastic dominance arises and its applications in convex geometry and probability.

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A. Zaicenco,D. Lungu,V. Alkaz,T. Corneaom matrices is to understand how the given structure of the matrix is reflected in its spectral properties. This chapter reviews a number of recent results, methods, and open problems in this direction, with a particular emphasis on sharp spectral norm inequalities for Gaussian random matrices.

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Convexity and Concentration978-1-4939-7005-6Series ISSN 0940-6573 Series E-ISSN 2198-3224

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Does Election Matter in a Hybrid Regime?,detailed proofs and constructions in the particular case of an interpolation between two finitely supported probability measures on ., with a stochastic domination assumption. We also present other types of interpolations, in particular Léonard’s entropic interpolations and discuss the relationships between these constructions.

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Does Election Matter in a Hybrid Regime?,their counterparts in the continuous case. The results we consider are information theoretic approaches to Poisson approximation, the maximum entropy property of the Poisson distribution, discrete concentration (Poincaré and logarithmic Sobolev) inequalities, monotonicity of entropy and concavity of entropy in the Shepp–Olkin regime.

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The Figuring of an Aspherical X-Ray Lens particular, our approach illustrates the connections between moment estimates for non-linear functionals of Gaussian fields, and the general semigroup approach towards fourth moment theorems, recently initiated by Ledoux and further investigated by Poly et al.

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Vulnerable People and Digital Inclusionog-concave functions; duality; inequalities including the Prékopa-Leindler inequality and the functional form of Blaschke-Santaló inequality and its converse; functional versions of area measure and mixed volumes; valuations on log-concave functions.