8 citations · 12 across the 8 of their papers we have counts for
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math.PR2019
A new look at random projections of the cube and general product measures
Zakhar Kabluchko, Joscha Prochno, Christoph Thaele
A strong law of large numbers for -dimensional random projections of the -dimensional cube is derived. It shows that with respect to the Hausdorff distance a properly normali…
math.PR2019
Concentration inequalities for functionals of Poisson cylinder processes
Anastas Baci, Carina Betken, Anna Gusakova +1
Random union sets associated with stationary Poisson processes of -cylinders in are considered. Under general conditions on the typical cylinder base a concen…
math.PR2019
High-dimensional limit theorems for random vectors in -balls. II
Zakhar Kabluchko, Joscha Prochno, Christoph Thaele
In this article we prove three fundamental types of limit theorems for the -norm of random vectors chosen at random in an -ball in high dimensions. We obtain a central…