Buongiorno a tutti,
il prossimo appuntamento del ciclo Seminari generali IAC
si terrà
Mercoledì 24 Maggio ore 14:30
sul Canale Youtube Cnr-IAC al link
https://www.youtube.com/watch?v=JgsmwZg7eAg
con Francois Baccelli
Title High dimensional stochastic geometry in the Shannon regime
Abstract This talk will focus on Euclidean stochastic geometry in the Shannon regime. In this regime, the dimension n of space tends to infinity, point processes have intensities which are exponential functions of n, and the random compact sets have diameters of order square root of n. Three basic models of stochastic geometry based on Poisson processes will be considered: the Boolean model, the Poisson-Voronoi tessellation and the Poisson hyperplane tessellation. We will show how to calculate the asymptotic behavior of the classical quantities of stochastic geometry for these three models in the Shannon regime: for the Boolean model, the volume fraction, the percolation threshold or the size of the connected components; for tessellations, statistics of geometric properties of cells (volume, diameter, etc.). These questions are motivated by problems in information theory, including the calculation of error exponents for channel coding based on random codes and calculating the distortion in the one-bit compression-based source coding. Survey of work in collaboration with Venkat Anantharam (UC Berkeley) and Eliza O'Reilly (Caltech). Area degli allegati Visualizza anteprima video YouTube Seminari generali IAC 2023: Francois Baccelli https://www.youtube.com/watch?v=JgsmwZg7eAg&authuser=0 https://www.youtube.com/watch?v=JgsmwZg7eAg&authuser=0
grazie