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math.PR2026
Invariant measures for half-space geometric LPP: classification and the one force--one solution principle
Sayan Das, Evan Sorensen, Zongrui Yang
We prove a complete characterization of the extremal invariant measures for half-space geometric last-passage percolation with an arbitrary boundary parameter. This is the first re…
math.PR2026
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…