4 papers · 1 filter
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…