91 citations · 792 across the 40 of their papers we have counts for
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math.PR2010★ 6 cited
Properties of the limit shape for some last passage growth models in random environments
Hao Lin, Timo Seppäläinen
We study directed last passage percolation on the first quadrant of the planar square lattice whose weights have general distributions, or equivalently, ./G/1 queues in series. The…
math.PR2010★ 50 cited
Bounds for scaling exponents for a 1+1 dimensional directed polymer in a Brownian environment
Timo Seppäläinen, Benedek Valkó
We study the scaling exponents of a 1+1-dimensional directed polymer in a Brownian random environment introduced by O'Connell and Yor. For a version of the model with boundary cond…
math.PR2010★ 8 cited
TASEP with Discontinuous Jump Rates
Nicos Georgiou, Rohini Kumar, Timo Seppalainen
We prove a hydrodynamic limit for the totally asymmetric simple exclusion process with spatially inhomogeneous jump rates given by a speed function that may admit discontinuities.…