Outline
	• Epitaxial Growth – molecular beam epitaxy (MBE) – Step edges and islands • Mathematical models for epitaxial growth – atomistic: Solid-on-Solid using kinetic Monte Carlo – continuum: Villain equation – island dynamics: BCF theory • Kinetic model for step edge – edge diffusion and line tension (Gibbs-Thomson) boundary conditions – Numerical simulations – Coarse graining for epitaxial surface • Conclusions