2 papers
math.PR2026
A Sharp Gaussian Tail Bound for Sums of Uniforms
Xinjie He, Tomasz Tkocz, Katarzyna Wyczesany
We prove that the tail probabilities of sums of independent uniform random variables, up to a multiplicative constant, are dominated by the Gaussian tail with matching variance and…
math.MG2024
Stability of polydisc slicing
Nathaniel Glover, Tomasz Tkocz, Katarzyna Wyczesany
We prove a dimension-free stability result for polydisc slicing due to Oleszkiewicz and PelczyÅski (2000). Intriguingly, compared to the real case, there is an additional asymptot…