The deposition of material onto a crystalline surface leads to a number of phenomena associated with the motion of interfaces which have both technological significance and fundamental scientific and mathematical interest. These include the growth of individual two- and three-dimensional islands, the growth and coalescence of ensembles of islands, and the evolution of the growth front. This talk will review common themes in the description of these phenomena (e.g., scaling), as well as effects that are specific to particular materials (e.g., surface reconstructions and strain).
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