Thierry Bodineau, Dima Ioffe and Yvan Velenik
Rigorous Probabilistic Analysis of Equilibrium Crystal Shapes
(569K, gzip'ed PS)

ABSTRACT.  The rigorous microscopic theory of equilibrium crystal shapes has made 
enormous progress during the last decade. We review here the main 
results which have been obtained, both in two and higher dimensions. 
In particular, we describe how the phenomenological Wulff and 
Winterbottom constructions can be derived from the microscopic 
description provided by the equilibrium statistical mechanics of lattice 
gases. We focus on the main conceptual issues and describe the central 
ideas of the existing approaches.