2 citations · 2 across the 2 of their papers we have counts for
4 papers
Explicit bounds for Bell numbers and their ratios
Jerzy Grunwald, Grzegorz Serafin
In this article, we provide a comprehensive analysis of the asymptotic behavior of Bell numbers, enhancing and unifying various results previously dispersed in the literature. We e…
Normal approximation for subgraph count in random hypergraphs
Wojciech Michalczuk, Mikołaj Nieradko, Grzegorz Serafin
A non-uniform and inhomogeneous random hypergraph model is considered, which is a straightforward extension of the celebrated binomial random graph model . We esta…
Fractional Burgers equation with singular initial condition
Tomasz Jakubowski, Grzegorz Serafin
We consider the fractional Burgers equation on , , with { and} and prove the existence of a s…
Supremum distribution of Bessel process of drifting Brownian motion
Andrzej Pyć, Grzegorz Serafin, Tomasz Żak
Let (B^{(1)}_t ;B^{(2)}_t ;B^{(3)}_t + μt) be a three-dimensional Brownian motion with drift μ, starting at the origin. Then X_t = ||(B^{(1)}_t ;B^{(2)}_t ;B^{(3)}_t +μt)||, its di…