Abstract
Fluctuation properties of anisotropic one-dimensional interfaces, whose typical example are the steps on a crystal surface, are discussed from a statistical-mechanical point of view. For global fluctuations, general relationship between the scaled global interface width, the interface stiffness and the curvature of the equilibrium shape is established. For local fluctuations, the intrinsic interface structure is studied by Monte-Carlo method. Based on the detailed temperature dependence and the system size dependence, critical behavior of the intrinsic structure is discussed.