5 papers · 2 filters
The periodic Airy line ensembles
Evgeni Dimitrov, Samir Sarieddine, Zongrui Yang +1
In this paper we construct a one-parameter family of periodic Airy line ensembles for as weak scaling limits of Borodin's periodic Schur proces…
From the Airy line ensemble to the Gaussian free field
Evgeni Dimitrov, Alex Fu, Zhengye Zhou
We study the global fluctuations of the height function associated with the Airy line ensemble. Using its determinantal structure and a steepest-descent analysis of the extended Ai…
Pinning in non-critical half-space geometric last passage percolation
Sayan Das, Evgeni Dimitrov, Zongrui Yang
We study a symmetrized (half-space) version of geometric last passage percolation with a boundary parameter that interpolates between subcritical, critical, and supercritical b…
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…