2 papers
math.PR2025
A Gaussian integral formula for the Hermite polynomials: Combinatorics, Asymptotics and Applications
Mihai Nica, Janosch Ortmann
The Hermite polynomials are ubiquitous but can be difficult to work with due to their unwieldy definition in terms of derivatives. To remedy this, we showcase an underappreciated G…
math.PR2025
Coupling derivation of optimal-order central moment bounds in exponential last-passage percolation
Elnur Emrah, Nicos Georgiou, Janosch Ortmann
We introduce new probabilistic arguments to derive optimal-order central moment bounds in planar directed last-passage percolation. Our technique is based on couplings with the inc…