92 citations · 246 across the 5 of their papers we have counts for
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math.PR2003★ 51 cited
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,…
cond-mat.stat-mech2003★ 12 cited
Step fluctuations for a faceted crystal
Patrik L. Ferrari, Herbert Spohn
A statistical mechanics model for a faceted crystal is the 3D Ising model at zero temperature. It is assumed that in one octant all sites are occupied by atoms, the remaining ones…