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math.PR2024
A short memory condition for infinitely divisible random fields
Vitaly Makogin, Evgeny Spodarev
This small note yields a sufficient condition for the short range dependence of measurable stationary infinitely divisible moving average random fields with --dimensional index…
math.PR2024
A Fubini-type limit theorem for the integrated hyperuniform infinitely divisible moving averages
Evgeny Spodarev
This short note shows a limiting behavior of integrals of some centered antipersistent stationary infinitely divisible moving averages as the compact integration domain in …
math.PR2010★ 2 cited
Anisotropic Poisson Processes of Cylinders
Malte Spiess, Evgeny Spodarev
Main characteristics of stationary anisotropic Poisson processes of cylinders (dilated k-dimensional flats) in d-dimensional Euclidean space are studied. Explicit formulae for the…