no code implementations • 11 Apr 2018 • Emanuel A. Lazar
This paper introduces a new open-source software program called VoroTop, which uses Voronoi topology to analyze local structure in atomic systems.
1 code implementation • 24 Aug 2015 • Emanuel A. Lazar, Jian Han, David J. Srolovitz
Physical systems are frequently modeled as sets of points in space, each representing the position of an atom, molecule, or mesoscale particle.
Other Condensed Matter Materials Science Computational Physics
1 code implementation • 26 Mar 2015 • Peter S. Landweber, Emanuel A. Lazar, Neel Patel
We present a surprisingly short proof that for any continuous map $f : \mathbb{R}^n \rightarrow \mathbb{R}^m$, if $n>m$, then there exists no bound on the diameter of fibers of $f$.
Metric Geometry Algebraic Topology Classical Analysis and ODEs