T. Seppalainen

activity

19992025

most citedScaling for a one-dimensional directed polymer with boundary conditions

238 citations · 426 across the 31 of their papers we have counts for

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Showing 2009 · math.PRShow all

2 papers · 2 filters

math.PR2009★ 238 cited

Scaling for a one-dimensional directed polymer with boundary conditions

Timo Seppäläinen

We study a (1+1)-dimensional directed polymer in a random environment on the integer lattice with log-gamma distributed weights. Among directed polymers, this model is special in t…

math.PR2009★ 31 cited

Scaling exponent for the Hopf-Cole solution of KPZ/Stochastic Burgers

Marton Balazs, Jeremy Quastel, Timo Seppalainen

We consider the stochastic heat equation $\partial_{t} Z = \partial_{x}^{2} Z - Z W ˙$ on the real line, where $W ˙$ is space-time white noise. $h (t, x) = - lo g Z (t, x)$ is interpreted a…