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math.PR2024★ 1 cited
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…
math.PR2015★ 2 cited
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…