9 papers
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…
Curve separation in supercritical half-space last passage percolation
Evgeni Dimitrov, Zhengye Zhou
We study line ensembles arising naturally in symmetrized/half-space geometric last passage percolation (LPP) on the square. The weights of the model are geometrically…
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…
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…