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Seminario Rubio de Francia: “Random cones” .- Miércoles 25 de febrero

El jueves 25 de febrero a las 12.00 h tendrá lugar la conferencia de este ciclo que la impartirá Christoph Thäle (Ruhr Universität Bochum)). Se titula " Random cones ", y podréis seguirla online desde zoom: https://us02web.zoom.us/j/81837039815?pwd=MmY0by9GT1pTNEtrUldEcmswRC9odz09.

Resumen:

Let U1, . . . ,Un be independent random vectors which are uniform distributed on the unit sphere. The random hyperplanes U_1^\perp , . . . ,U_n^\perp dissect the space into a collection of random cones. A uniform random cone Sn from this collection is called the Schläfli random cone. In a classical paper of Cover and Efron (1967) it was proved that the expected number of k-dimensional faces of a cross section of Sn converges to the number of k-dimensional face of a cube. We investigate the question whether a similar convergence is true also for the random shape of these cross sections. This talk is based on joint work with Zakhar Kabluchko and Daniel Temesvari.

TODO EL PROGRAMA

AI

Agosto 2022

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