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117 papers · 1 filter
Visitation measures for non-linear iterations with random perturbations
Andrey A. Dorogovtsev, Iryna Nishchenko
A sequence of non-linear iterations with non-identically distributed random perturbations is studied. The asymptotic behaviour of the sequence is described via its visitations meas…
A law of thin processes with neighbour-count thinning
Kateryna Hlyniana
We consider the superposition of i.i.d. simple point processes on and apply a dependent thinning , where the retention probability of a point depends…
Beta distribution and associated Stirling numbers of the second kind
Jakub Gismatullin, Patrick Tardivel
This article gives a formula for associated Stirling numbers of the second kind based on the moment of a sum of independent random variables having a beta distribution. From this f…
Law of the Iterated Logarithm for Markov Semigroups with Exponential Mixing in the Wasserstein Distance
Dawid Czapla, Sander C. Hille, Katarzyna Horbacz +1
In this paper, we establish the law of the iterated logarithm for a wide class of non-stationary, continuous-time Markov processes evolving on Polish spaces. Specifically, our resu…
Modulus of continuity of Kerov transition measure for continual Young diagrams
Piotr Śniady
The transition measure is a foundational concept introduced by Sergey Kerov to represent the shape of a Young diagram as a centered probability measure on the real line. Over a per…
Operator norms of random matrices with iid entries
Rafał Latała, Marta Strzelecka
We prove that for every and every random matrix with iid centered entries satisfying the regularity assumption $\|X_{i,j}\|_{2ρ} \…