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Characterizing equilibrium in epitaxial growth
Characterizing equilibrium epitaxial growth
2015/10/16
Using a kinetic model of epitaxial growth, we describe how geometry controls kinetic pathways through which external deposition influences the state of a vicinal surface. The state of the surface is d...
Bounds on volume growth of geodesic balls under Ricci flow
geodesic balls under Ricci flow Differential Geometry Analysis of PDEs
2011/9/16
Abstract: We prove a so called $\kappa$ non-inflating property for Ricci flow, which provides an upper bound for volume ratio of geodesic balls over Euclidean ones, under an upper bound for scalar cur...
Edge Growth in Graph Cubes
Edge Growth Graph Cubes
2010/11/29
We show that for every connected graph G of diameter 3, the graph G3 has average degree 7
4(G). We also provide an example showing that this bound is best possible. This resolves a question of H...