# Spatial tightness at the edge of Gibbsian line ensembles

@inproceedings{Barraquand2021SpatialTA, title={Spatial tightness at the edge of Gibbsian line ensembles}, author={Guillaume Barraquand and Ivan Corwin and Evgeni Dimitrov}, year={2021} }

Consider a sequence of Gibbsian line ensemble whose lowest labeled curve (i.e., the edge) has tight one-point marginals. Then, given certain technical assumptions on the nature of the Gibbs property and underlying random walk measure, we prove that the entire spatial process of the edge is tight. We then apply this black-box theory to the log-gamma polymer Gibbsian line ensemble which we construct. The edge of this line ensemble is the transversal free energy process for the polymer, and our…

## 3 Citations

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