48 citations · 166 across the 25 of their papers we have counts for
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math.PR2013★ 9 cited
Semi-discrete semi-linear parabolic SPDEs
Nicos Georgiou, Mathew Joseph, Davar Khoshnevisan +1
Consider an infinite system \[\partial_tu_t(x)=(\mathscr{L}u_t)(x)+ σ\bigl(u_t(x)\bigr)\partial_tB_t(x)\] of interacting Itô diffusions, started at a nonnegative deterministic boun…
math.PR2013★ 48 cited
Ratios of partition functions for the log-gamma polymer
Nicos Georgiou, Firas Rassoul-Agha, Timo Seppäläinen +1
We introduce a random walk in random environment associated to an underlying directed polymer model in dimensions. This walk is the positive temperature counterpart of the co…