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math.PR2002
A growth model in multiple dimensions and the height of a random partial order
Timo Seppäläinen
We introduce a model of a randomly growing interface in multidimensional Euclidean space. The growth model incorporates a random order model as an ingredient of its graphical const…
math.PR2002
An upper bound on the fluctuations of a second class particle
Timo Seppalainen
This note proves an upper bound for the fluctuations of a second-class particle in the totally asymmetric simple exclusion process. The proof needs a lower tail estimate for the la…