Stationary half-space last passage percolation

Patrik Ferrari
Rheinische Friedrich-Wilhelms-Universität Bonn

We present our result on study stationary last passage percolation (LPP) in half-space geometry. The result is a new two-parameter family of distributions: one parameter for the strength of the diagonal bounding the half-space (strength of the source at the origin in the equivalent TASEP language) and the other for the distance of the point of observation from the origin. It should be compared with the one-parameter family giving the Baik--Rains distributions for full-space geometry.

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