Emanuel (Menachem) Lazar

Papers

• Lazar, E.A., Lu, J., Rycroft, C.H., and Schwarcz, D., "Characterizing structural features of two-dimensional particle systems through Voronoi topology", arXiv, Model. Simul. Mater. Sci. Eng. 32:085022, 2024.
• Worlitzer, V.M., Ariel, G., and Lazar, E.A., "Pair correlation function based on Voronoi topology", arXiv, Phys. Rev. E 108:064115, 2023.
• Askenazi, E.M., Lazar, E.A., and Grinberg, I., "Identification of high-reliability regions of machine learning predictions based on materials chemistry", J. Chem. Inf. Model., 2023.
• Lu, J., Lazar, E.A., and Rycroft, C.H., "An extension to VORO++ for multithreaded computation of Voronoi cells", arXiv, Comput. Phys. Commun. 291:108832, 2023.
• Forrest, R.M., Lazar, E.A., Goel, S., and Bean, J.J., "Quantifying the differences in properties between polycrystals containing planar and curved grain boundaries", Nanofabrication 7, 11-23, 2022.
• Lazar, E.A., Lu, J., and Rycroft, C.H., "Voronoi cell analysis: The shapes of particle systems", arXiv, Am. J. Phys. 90:469, 2022.

• Lazar, E.A. and Shoan, A. "Voronoi chains, blocks, and clusters in perturbed square lattices", arXiv, J. Stat. Mech. 103204, 2020.

• Lazar, E.A., Mason, J.K., MacPherson, R.D. and Srolovitz, D.J., "Distribution of Topological Types in Grain-Growth Microstructures", arXiv, Phys. Rev. Lett. 125:015501, 2020.

• Yoon, T.J., Lazar, E.A., Ha, M.Y., Lee, W.B., and Lee, Y-W., "Topological extension of the isomorph theory based on the Shannon entropy", arXiv, Phys. Rev. E. 100:012118, 2019.
• Yoon, T.J., Lazar, E.A., Ha, M.Y., Lee, W.B., and Lee, Y-W., "Topological generalization of the rigid-nonrigid transition in soft-sphere and hard-sphere fluids", arXiv, Phys. Rev. E. 99:052603, 2019.
• Yoon, T.J., Ha, M.Y., Lazar, E.A., Lee, W.B., and Lee, Y-W., "Topological Characterization of Rigid-Nonrigid Transition across the Frenkel Line", arXiv, J. Phys. Chem. Lett. 9:6524, 2018.
• Lazar, E.A. "VoroTop: Voronoi Cell Topology Visualization and Analysis Toolkit", arXiv, Model. Simul. Mater. Sci. Eng. 26:1, 2017.
• Lazar, E.A. and Srolovitz, D.J. "Topological Analysis of Local Structure in Atomic Systems", preprint, chapter in Statistical Methods for Materials Science: The Data Science of Microstructure Characterization, CRC Press 2019.
• Lutz, F.H., Mason, J.K., Lazar, E.A., and MacPherson, R.D. "Roundness of Grains in Cellular Microstructures", arXiv, Phys. Rev. E. 96:023001, 2017.

• Lazar, E.A. "Classifying Structure in Two-Dimensional Point Sets via Voronoi Topology", unpublished notes.
• Lazar, E.A. and Pemantle, R. "Coarsening in one dimension: invariant and asymptotic states", arXiv, Israel J. Math. 221:1, 2017.
• Leipold, H., Lazar, E.A., Brakke, K.A., and Srolovitz, D.J. "Statistical Topology of Perturbed Two-Dimensional Lattices", arXiv, J. Stat. Mech. P043103, 2016.

• Landweber, P.S., Lazar, E.A., Patel, N. "On fiber diameters of continuous maps", arXiv, Amer. Math. Monthly 123:4, 2016 (see also "A Surprise For Big-Data Analytics").
• Lazar, E.A., Han, J. and Srolovitz, D.J. "A Topological Framework for Local Structure Analysis in Condensed Matter", arXiv, Proc. Natl. Acad. Sci. 112:E5769, 2015.
• Mason, J.K., Lazar, E.A., MacPherson, R.D. and Srolovitz, D.J. "Geometric and topological properties of the canonical grain growth microstructure", arXiv, Phys. Rev. E. 92:063308, 2015.

• Wang, R., Lazar, E.A., Park, H., Millis, A.J., Marianetti, C.A. "Selectively Localized Wannier Functions", arXiv, Phys. Rev. B. 90:165125, 2014.
• Hilhorst, H.J., Lazar, E.A. "Many-faced cells and many-edged faces in 3D Poisson-Voronoi tessellations", arXiv, J. Stat. Mech. 10:P10021, 2014.
• Keller, T., Cutler, B., Lazar, E.A., Yauney, G., Lewis, D.J. "Comparative Grain Topology", Acta Materialia, 66:414, 2014.
• Lazar, E.A., Mason, J.K., MacPherson, R.D. and Srolovitz, D.J. "Statistical topology of three-dimensional Poisson-Voronoi cells and cell boundary networks", arXiv, Phys. Rev. E. 88:063309, 2013.
• Mason, J.K., Lazar, E.A., MacPherson, R.D. and Srolovitz, D.J. "Statistical topology of cellular networks in two and three dimensions", Phys. Rev. E. 86:051128, 2012.

• Lazar, E.A., Mason, J.K., MacPherson, R.D. and Srolovitz, D.J. "Complete topology of cells, grains, and bubbles in three-dimensional microstructures", arXiv, Phys. Rev. Lett. 109:095505, 2012.
• Mason, J.K., Ehrenborg, R. and Lazar, E.A. "A geometric formulation of the Law of Aboav-Weaire in two and three dimensions", J. Phys. A 45:065001, 2012.

• Lazar, E.A., "The Evolution of Cellular Structures via Curvature Flow", Thesis, Princeton University, 2011.
• Lazar, E.A., Mason, J.K., MacPherson, R.D. and Srolovitz, D.J. "A more accurate three-dimensional grain growth algorithm", preprint, Acta Materialia, 59:6837, 2011.

• Lazar, E.A., MacPherson, R.D. and Srolovitz, D.J. "A more accurate two-dimensional grain growth algorithm", preprint, Acta Materialia, 58:364, 2010.

• Lazar, E.A. "Molecular Dynamic Studies in the Fracturing of Metals." Honors Thesis, Yeshiva University, 2005.
• Lazar, E.A. "A Visual Demonstration of the Fundamental Theorem of Calculus", unpublished, 2003.

Software

• VoroTop is a modern set of open-source tools for analyzing structure of spatial point sets in three dimensions. The power of this approach results from its coarse-graining of structural data in a natural configuration space, instead of in the image of this space under a continuous mapping, which has notable theoretical restrictions.

Coauthors and collaborators