10 papers
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…
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…
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…
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…
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…
Tightness for interlacing geometric random walk bridges
Evgeni Dimitrov
We investigate a class of line ensembles whose local structure is described by independent geometric random walk bridges, which have been conditioned to interlace with each other.…