110 citations · 183 across the 16 of their papers we have counts for
10 papers · 1 filter
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…
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…
The directed landscape
Duncan Dauvergne, Janosch Ortmann, Balint Virag
The conjectured limit of last passage percolation is a scale-invariant, independent, stationary increment process with respect to metric composition. We prove this for Brownian las…
Optimality Regions and Fluctuations for Bernoulli Last Passage Models
Nicos Georgiou, Janosch Ortmann
We study the sequence alignment problem and its independent version, the discrete Hammersley process with an exploration penalty. We obtain rigorous upper bounds for the number of…
A Pfaffian representation for flat ASEP
Janosch Ortmann, Jeremy Quastel, Daniel Remenik
We obtain a Fredholm Pfaffian formula for an appropriate generating function of the height function of the asymmetric simple exclusion process starting from flat (periodic) initial…
Tracy-Widom asymptotics for a random polymer model with gamma-distributed weights
Neil O'Connell, Janosch Ortmann
We establish Tracy-Widom asymptotics for the partition function of a random polymer model with gamma-distributed weights recently introduced by Seppäläinen. We show that the partit…