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Spurred by theoretical predictions from Spohn and coworkers [Phys. Rev. E{\bf 69}, 035102(R) (2004)], we rederived and extended their resultheuristically as well as investigated the scaling properties of the associatedLangevin equation in curved geometry with an asymmetric potential. Withexperimental colleagues we used STM line scans to corroborate their predictionthat the fluctuations of the step bounding a facet exhibit scaling propertiesdistinct from those of isolated steps or steps on vicinal surfaces. Thecorrelation functions was shown to go as $t^{0.15(3)}$ decidedly different fromthe $t^{0.26(2)}$ behavior for fluctuations of isolated steps. From theexponents, we were able to categorize the universality, confirming theprediction that the non-linear term of the KPZ equation, long known to play acentral role in non-equilibrium phenomena, can also arise from the curvature orpotential-asymmetry contribution to the step free energy. We also considered,with modest Monte Carlo simulations, a toy model to show that confinement of astep by another nearby step can modify as predicted the scaling exponents ofthe step's fluctuations. This paper is an expansion of a celebratory talk atthe 95$^{\rm th}$ Rutgers Statistical Mechanics Conference, May 2006.

Dynamical Scaling Implications of Ferrari, Pr\"{a}hofer, and Spohn's Remarkable Spatial Scaling Results for Facet-Edge Fluctuations