7 citations · 12 across the 4 of their papers we have counts for
5 papers
Multicritical Scaling in a Lattice Model of Vesicles
Nils Haug, Thomas Prellberg
Vesicles, or closed fluctuating membranes, have been modeled in two dimensions by self-avoiding polygons, weighted with respect to their perimeter and enclosed area, with the simpl…
Higher-order Airy scaling in deformed Dyck paths
Nils Haug, Adri Olde Daalhuis, Thomas Prellberg
We introduce a deformed version of Dyck paths (DDP), where additional to the steps allowed for Dyck paths, 'jumps' orthogonal to the preferred direction of the path are permitted.…
Area-width scaling in generalised Motzkin paths
Nils Haug, Thomas Prellberg, Grzegorz Siudem
We consider a generalised version of Motzkin paths, where horizontal steps have length , with being a fixed positive integer. We first give the general functional equa…
Uniform asymptotics of area-weighted Dyck paths
Nils Haug, Thomas Prellberg
Using the generalized method of steepest descents for the case of two coalescing saddle points, we derive an asymptotic expression for the bivariate generating function of Dyck pat…
From generalized directed animals to the asymmetric simple exclusion process
Nils Haug, Sergei Nechaev, Mikhail Tamm
Using the generalized normally ordered form of words in a locally-free group of generators, we show that in the limit , the partition function of weighted directed…