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math.CA2026
High-dimensional limits and extremizers for maximal functions associated with log-concave densities
Valentina Ciccone, Błażej Wróbel
We introduce a unified framework to establish the high-dimensional asymptotic behavior of maximal functions associated with radial log-concave probability densities, encompassing t…
math.NT2026
Uniform estimates for Delannoy numbers and dimension-free estimates for discrete maximal functions over cross-polytopes
Dariusz Kosz, Jakub Niksiński, Błażej Wróbel
We prove a uniform upper and lower bound for Delannoy numbers. This is achieved by using the representation of Delannoy numbers as the number of lattice points in high-dimensional…