Speaker:

Silouanos Brazitikos

Institution:

University of Crete

Time:

Monday, January 23, 2023 - 12:00pm

Location:

zoom

Let $\mu$ be a log-concave probability measure on ${\mathbb R}^n$ and for any $N>n$ consider the random polytope $K_N={\rm conv}\{X_1,\ldots ,X_N\}$, where $X_1,X_2,\ldots$ are independent random points in ${\mathbb R}^n$ distributed according to $\mu$. We study the question if there exists a threshold for the expected measure of $K_N$.

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