instituto de matemáticas universidad de sevilla
Antonio de Castro Brzezicki
A Central Limit Theorem and Large Deviation Principles on $\ell_p^n$ balls.
Seminarios
 Fecha: 08.11.2018 De 10.30 a 11.30 Lugar: Seminario I (IMUS), Edificio Celestino Mutis Autor: David Alonso Gutiérrez Organización: Bernardo González Merino
Let $X_n$ be a random vector uniformly distributed on the unit ball of $\ell_p^n$ and let $E_n$ be a random $k_n$-dimensional subspace with $\frac{k_n}{n}\to\lambda\in[0,1]$. We will study the behavior of the random variable $\Vert P_{E_n}X_n\Vert_2$ showing that it verifies a Central Limit Theorem as well as some Large Deviation Principles.

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