24 citations · 89 across the 12 of their papers we have counts for
4 papers · 1 filter
Hausdorff dimensions for shared endpoints of disjoint geodesics in the directed landscape
Erik Bates, Shirshendu Ganguly, Alan Hammond
Within the Kardar-Parisi-Zhang universality class, the space-time Airy sheet is conjectured to be the canonical scaling limit for last passage percolation models. In recent work ar…
Full-path localization of directed polymers
Erik Bates
Certain polymer models are known to exhibit path localization in the sense that at low temperatures, the average fractional overlap of two independent samples from the Gibbs measur…
Localization and free energy asymptotics in disordered statistical mechanics and random growth models
Erik Bates
This dissertation develops, for several families of statistical mechanical and random growth models, techniques for analyzing infinite-volume asymptotics. In the statistical mechan…
Localization in Gaussian disordered systems at low temperature
Erik Bates, Sourav Chatterjee
For a broad class of Gaussian disordered systems at low temperature, we show that the Gibbs measure is asymptotically localized in small neighborhoods of a small number of states.…