4 papers · 1 filter
Long-time asymptotics for Airy wanderer line ensembles
Alexander Clay, Evgeni Dimitrov, Rundong Ding +1
We investigate the long-time behavior of the Airy wanderer line ensembles, an infinite-parameter family of Brownian Gibbsian line ensembles arising as edge-scaling limits of inhomo…
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…
Structural properties of the Airy wanderer line ensembles
Evgeni Dimitrov
The Airy wanderer line ensembles are infinite-parameter generalizations of the classical Airy line ensemble that arise naturally as scaling limits of inhomogeneous (spiked) models…
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…