351 citations
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17 papers · 1 filter
Equilibrium shape and dislocation nucleation in strained epitaxial nanoislands
J. Jalkanen, O. Trushin, E. Granato +2
We study numerically the equilibrium shapes, shape transitions and dislocation nucleation of small strained epitaxial islands with a two-dimensional atomistic model, using simple i…
Pattern formation (I): The Keller-Segel Model
Yan Guo, Hyung Ju Hwang
We investigate nonlinear dynamics near an unstable constant equilibrium in the classical Keller-Segel model. Given any general perturbation of magnitude , we prove that its nonl…
On the Worst-case Performance of the Sum-of-Squares Algorithm for Bin Packing
Janos Csirik, David S. Johnson, Claire Kenyon
The Sum of Squares algorithm for bin packing was defined in [2] and studied in great detail in [1], where it was proved that its worst case performance ratio is at most 3. In this…
On the Transfer of Metric Fluctuations when Extra Dimensions Bounce or Stabilize
T. J. Battefeld, S. P. Patil, R. H. Brandenberger
In this report, we study within the context of general relativity with one extra dimension compactified either on a circle or an orbifold, how radion fluctuations interact with met…
Transport anomalies in a simplified model for a heavy electron quantum critical point
P. Coleman, J. B. Marston, A. J. Schofield
We discuss the transport anomalies associated with the development of heavy electrons out of a neutral spin fluid using the large-N treatment of the Kondo-Heisenberg lattice model.…
Embeddings With Multiple Regularity
Gordana Stojanovic
We introduce -regular maps, which generalize two previously studied classes of maps: affinely -regular maps and totally skew embeddings. We exhibit some explicit examples…