14 citations · 45 across the 7 of their papers we have counts for
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cond-mat.stat-mech2016★ 14 cited
On the genealogy of branching random walks and of directed polymers
Bernard Derrida, Peter Mottishaw
It is well known that the mean field theory of directed polymers in a random medium exhibits replica symmetry breaking with a distribution of overlaps which consists of two delta f…
cond-mat.stat-mech2013★ 10 cited
An exclusion process on a tree with constant aggregate hopping rate
Peter Mottishaw, Bartlomiej Waclaw, Martin R. Evans
We introduce a model of a totally asymmetric simple exclusion process (TASEP) on a tree network where the aggregate hopping rate is constant from level to level. With this choice f…