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19992023
most citedTropical Combinatorics and Whittaker functions

91 citations · 792 across the 40 of their papers we have counts for

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Showing 2011Show all

6 papers · 1 filter

math.PR2011★ 38 cited

Large deviation rate functions for the partition function in a log-gamma distributed random potential

Nicos Georgiou, Timo Seppäläinen

We study right tail large deviations of the logarithm of the partition function for directed lattice paths in i.i.d. random potentials. The main purpose is the derivation of explic…

math.PR2011★ 91 cited

Tropical Combinatorics and Whittaker functions

Ivan Corwin, Neil O'Connell, Timo Seppäläinen +1

We establish a fundamental connection between the geometric RSK correspondence and GL(N,R)-Whittaker functions, analogous to the well known relationship between the RSK corresponde…

math.PR2011

Independent Particles in a Dynamical Random Environment

Mathew Joseph, Firas Rassoul-Agha, Timo Seppäläinen

We study the motion of independent particles in a dynamical random environment on the integer lattice. The environment has a product distribution. For the multidimensional case, we…

math.PR2011

Properties of the limit shape for some last passage growth models in random environments (Dissertation)

Hao Lin

We study directed last-passage percolation on the planar square lattice whose weights have general distributions, or equivalently, queues in series with general service distributio…

math.PR2011★ 4 cited

Fluctuation bounds in the exponential bricklayers process

Márton Balázs, Júlia Komjáthy, Timo Seppäläinen

This paper is the continuation of our earlier paper, where we proved t^{1/3}-order of current fluctuations across the characteristics in a class of one dimensional interacting syst…

math.PR2011★ 2 cited

Quenched Free Energy and Large Deviations for Random Walks in Random Potentials

Firas Rassoul-Agha, Timo Seppalainen, Atilla Yilmaz

We study quenched distributions on random walks in a random potential on integer lattices of arbitrary dimension and with an arbitrary finite set of admissible steps. The potential…