284 citations · 557 across the 15 of their papers we have counts for
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Polymer pinning in a random medium as influence percolation
Vincent Beffara, Vladas Sidoravicius, Herbert Spohn +1
In this article we discuss a set of geometric ideas which shed some light on the question of directed polymer pinning in the presence of bulk disorder. Differing from standard meth…
A central limit theorem for Gibbs measures relative to Brownian motion
Volker Betz, Herbert Spohn
We study a Gibbs measure over Brownian motion with a pair potential which depends only on the increments. Assuming a particular form of this pair potential, we establish that in th…
Constrained Brownian motion: Fluctuations away from circular and parabolic barriers
Patrik L. Ferrari, Herbert Spohn
Motivated by the polynuclear growth model, we consider a Brownian bridge b(t) with b(\pm T)=0 conditioned to stay above the semicircle c_T(t)=\sqrtT^2-t^2. In the limit of large T,…
Scale Invariance of the PNG Droplet and the Airy Process
Michael Praehofer, Herbert Spohn
We establish that the static height fluctuations of a particular growth model, the PNG droplet, converges upon proper rescaling to a limit process, which we call the Airy process A…