4 citations · 7 across the 14 of their papers we have counts for
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Sanov-type large deviations and conditional limit theorems for high-dimensional Orlicz balls
Lorenz Fruehwirth, Joscha Prochno
In this paper, we prove a Sanov-type large deviation principle for the sequence of empirical measures of vectors chosen uniformly at random from an Orlicz ball. From this level-…
Thin-shell theory for rotationally invariant random simplices
Johannes Heiny, Samuel Johnston, Joscha Prochno
For fixed functions , consider the rotationally invariant probability density on of the form \[ μ^n(ds) = \frac{1}{Z_n} G(\|s\|_2)\, e^{…
Projections of the uniform distribution on the cube -- a large deviation perspective
Samuel G. G. Johnston, Zakhar Kabluchko, Joscha Prochno
Let be a random vector uniformly distributed on the unit sphere in . Consider the projection of the uniform distribution on the cube $[-1,1…
Sharp concentration for the largest and smallest fragment in a -regular self-similar fragmentation
Piotr Dyszewski, Nina Gantert, Samuel G. G. Johnston +2
We study the asymptotics of the -regular self-similar fragmentation process. For and an integer , this is the Markov process in which each $I…
A Maxwell principle for generalized Orlicz balls
Samuel G. G. Johnston, Joscha Prochno
In [A dozen de {F}inetti-style results in search of a theory, Ann. Inst. H. Poincaré Probab. Statist. 23(2)(1987), 397--423], Diaconis and Freedman studied low-dimensional projecti…
Large Deviation Principles for Lacunary Sums
Christoph Aistleitner, Nina Gantert, Zakhar Kabluchko +2
Let be a sequence of integers satisfying the Hadamard gap condition for all , and let $$ S_n(ω) = \sum_{k=1}^n\cos(2πa_k ω)…