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math.PR2024
Limit Theorems for the Volume of Random Projections and Sections of -balls
Joscha Prochno, Christoph Thaele, Philipp Tuchel
Let be the -dimensional unit ball corresponding to the -norm. For each we sample a uniform random subspace of fixed dimension $m\i…
math.MG2024
Weighted floating functions and weighted functional affine surface areas
Carsten Schütt, Christoph Thaele, Nicola Turchi +1
The purpose of this paper is to introduce the new concept of weighted floating functions associated with log concave or -concave functions. This leads to new notions of weighted…