We consider random deposition of debris or blocks on a line, with block sizes following a rigorous hierarchy: the linear size equals 1/λn in generation n, in terms of a rescaling factor λ. Without interactions between the blocks, this model is described by a logarithmic fractal, studied...

Sequential wetting, i.e., a sequence of two wetting transitions, in which the first one consists of a discontinuous jump from a microscopically thin to a mesoscopically thick film, followed by a divergence of the thickness of this film as the second, critical transition temperature is...