3 papers
math.PR2026
The pinned half-space Airy line ensemble
Evgeni Dimitrov, Christian Serio, Zongrui Yang
Half-space models in the Kardar-Parisi-Zhang (KPZ) universality class exhibit rich boundary phenomena that alter the asymptotic behavior familiar from their full-space counterparts…
math.PR2026
Half-space Airy line ensembles
Evgeni Dimitrov, Zongrui Yang
We construct a one-parameter family of infinite line ensembles on that are natural half-space analogues of the Airy line ensemble. Away from the origin these ensemble…
math.PR2025
A note on last passage percolation and Schur processes
Evgeni Dimitrov, Zongrui Yang
In this note we provide a short proof of the distributional equality between last passage percolation with geometric weights along a general down-right path and Schur processes. We…