G. Serafin

activity

20112022

most citedNormal approximation for sums of discrete

U

-statistics - application to Kolmogorov bounds in random subgraph counting

2 citations · 7 across the 10 of their papers we have counts for

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Showing 2021Show all

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math.AP2021

Laplace Dirichlet heat kernels in convex domains

Grzegorz Serafin

We provide general lower and upper bounds for Laplace Dirichlet heat kernel of convex $C^{1, 1}$ domains. The obtained estimates precisely describe the exponential behaviou…

math.NT2021

Backward Touchard congruence

Grzegorz Serafin

The celebrated Touchard congruence states that $B_{n + p} B_{n} + B_{n + 1}$ modulo $p$ , where $p$ is a prime number and $B_{n}$ denotes the Bell number. In this paper we study divisibility p…