6 papers
Negative association of Busemann functions in exponential last-passage percolation
Erik Bates, Xiao Shen
One hallmark of exactly solvable KPZ random growth models is product-form invariant measures. In the setting of exponential last-passage percolation (LPP), this corresponds to the…
An upper bound on geodesic length in 2D critical first-passage percolation
Erik Bates, David Harper, Xiao Shen +1
We consider i.i.d. first-passage percolation (FPP) on the two-dimensional square lattice, in the critical case where edge-weights take the value zero with probability $\tfrac{1}{2}…
Boundary and defect criticality in topological insulators and superconductors
Xiaoyang Shen, Zhengzhi Wu, Shao-Kai Jian
We study the boundary criticality enriched by boundary fermions, which ubiquitously emerge in topological phases of matter, with a focus on topological insulators and topological s…
Large deviations of geodesic midpoint fluctuations in last-passage percolation with general i.i.d. weights
Tom Alberts, Riddhipratim Basu, Sean Groathouse +1
The study of transversal fluctuations of the optimal path is a crucial aspect of the Kardar-Parisi-Zhang (KPZ) universality class. In this work, we establish the large deviation li…
Time correlations in the inverse-gamma polymer with flat initial condition
Xiao Shen
Temporal correlations in the KPZ universality class have gained significant attention, following the conjectures in [Ferr-Spoh'16]. Building on prior work in the zero temperature s…
Lower bound for large transversal fluctuations in exactly solvable KPZ models
Xiao Shen
The study of transversal fluctuation of the optimal path has been a crucial aspect of the Kadar-Parisi-Zhang (KPZ) universality class. In this paper, we establish a new probability…