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math.PR2026
Intrinsic volumes of -balls and a continuum of Maxwell--Poincaré--Borel laws for their curvature measures
Zakhar Kabluchko, Alexander Marynych, Joscha Prochno
For , we derive explicit formulas for the intrinsic volumes of the -dimensional -balls $$ \mathbb B_p^n = \{x\in\m…
math.PR2026
Large deviations for sums of multivariate stretched-exponential random variables: the few-big-jumps principle
Nina Gantert, Joscha Prochno, Philipp Tuchel
Large deviations for sums of i.i.d.\ random variables with stretched-exponential tails (also called Weibull or semi-exponential tails) have been well understood since the 60's, goi…