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math.PR2024
Moment and exponential estimation for the distribution of the norms for random matrices martingales
Maria Rosaria Formica, Eugeny Ostrovsky, Leonid Sirota
We derive sharp non - asymptotical Lebesgue - Riesz as well as Grand Lebesgue Space norm estimations for different norms of matrix martingales through these norms for the correspon…
math.PR2024
Factorizable convergence of random variables in Grand Lebesgue Spaces
Maria Rosaria Formica, Eugeny Ostrovsky, Leonid Sirota
We obtain results concerning the so-called factorization for the convergence of random variables almost everywhere (almost surely or with probability one), belonging to the classic…