4 papers
Strong existence and uniqueness of the tilt-indexed Busemann process in the planar corner growth model
Christopher Janjigian, Firas Rassoul-Agha, Timo Seppäläinen
We show that the Busemann process indexed by tilts in the super-differential of the limit shape exists and is unique in the strong sense in the i.i.d.\ planar corner growth model.…
Anomalous geodesics in the inhomogeneous corner growth model
Elnur Emrah, Christopher Janjigian, Timo Seppäläinen
We study Busemann functions, semi-infinite geodesics, and competition interfaces in the exactly solvable last-passage percolation with inhomogeneous exponential weights. New phenom…
Temporal correlation in the inverse-gamma polymer
Riddhipratim Basu, Timo Seppäläinen, Xiao Shen
Understanding the decay of correlations in time for (1+1)-dimensional polymer models in the KPZ universality class has been a challenging topic. Following numerical studies by phys…
Intertwining the Busemann process of the directed polymer model
Erik Bates, Wai-Tong Louis Fan, Timo Seppäläinen
We study the Busemann process and competition interfaces of the planar directed polymer model with i.i.d.\ weights on the vertices of the planar square lattice, in both the general…