238 citations · 426 across the 31 of their papers we have counts for
34 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…
Coalescence and total-variation distance of semi-infinite inverse-gamma polymers
Firas Rassoul-Agha, Timo Seppäläinen, Xiao Shen
We show that two semi-infinite positive temperature polymers coalesce on the scale predicted by KPZ (Kardar-Parisi-Zhang) universality. The two polymer paths have the same asymptot…
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…
Ergodicity and synchronization of the Kardar-Parisi-Zhang equation
Christopher Janjigian, Firas Rassoul-Agha, Timo Seppäläinen
The Kardar-Parisi-Zhang (KPZ) equation on the real line is well-known to admit Brownian motion with a linear drift as a stationary distribution (modulo additive constants). We show…
Scaling limit of the TASEP speed process
Ofer Busani, Timo Seppäläinen, Evan Sorensen
We show that the multi-type stationary distribution of the totally asymmetric simple exclusion process (TASEP) scales to a nontrivial limit around the Bernoulli measure of density…