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20072025
most citedOn the Distribution of Random variables corresponding to Musielak-Orlicz norms

4 citations · 8 across the 11 of their papers we have counts for

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Showing 2017Show all

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math.PR2017

Gaussian fluctuations for high-dimensional random projections of -balls

David Alonso-Gutierrez, Joscha Prochno, Christoph Thaele

In this paper, we study high-dimensional random projections of -balls. More precisely, for any let be a random subspace of dimension $k_n\in\{1,\ldo…

math.MG2017

Rogers-Shephard and local Loomis-Whitney type inequalities

David Alonso-Gutiérrez, Shiri Artstein-Avidan, Bernardo González Merino +2

We provide functional analogues of the classical geometric inequality of Rogers and Shephard on products of volumes of sections and projections. As a consequence we recover (and ob…

math.MG2017

A reverse Rogers-Shephard inequality for log-concave functions

David Alonso-Gutiérrez

We will prove a reverse Rogers-Shephard inequality for log-concave functions. In some particular cases, the method used for general log-concave functions can be slightly improved,…