PPT-Topological Data Analysis

Author : ellena-manuel | Published Date : 2017-12-16

Applications II This work was partially supported by the Joint DMSNIGMS Initiative to Support Research in the Area of Mathematical Biology NSF 0800285 Isabel K

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Topological Data Analysis: Transcript

Applications II This work was partially supported by the Joint DMSNIGMS Initiative to Support Research in the Area of Mathematical Biology NSF 0800285 Isabel K Darcy Mathematics Department . ISSP, The University of Tokyo, Masatoshi Sato. 2. 3. Outline. . What is topological superconductor. T. opological superconductors in various systems. 4. What is topological superconductor ?. Topological superconductors . 13th May 2005 Solar Flare. William M.R. Simpson, Angela Des . Jardins. University of St. Andrews, Montana State University. Contact. :. Email:. www. : . William M. R. Simpson. wmrs2@st-and.ac.uk. http://solar.physics.montana.edu/home/www/REU/2009/wsimpson . Superconductors. Akira . Furusaki. 2012/2/8. 1. YIPQS Symposium. Condensed matter physics. Diversity of materials. Understand their properties. Find. new states of matter. Emergent behavior of electron systems at low energy. Applications I. ©2008 I.K. Darcy. All rights reserved. This work was partially supported by the Joint DMS/NIGMS Initiative to Support Research in the Area of Mathematical Biology (NSF 0800285).. Isabel K. Darcy. Lecture 23. a. acyclic with neg. weights (topological sort algorithm). 8/25/2009. 1. ALG0183 Algorithms & Data Structures by Dr Andy Brooks. “The shortest-path algorithms are all . single-source algorithms. Michael Freedman. April 23, 2009. Parsa Bonderson. Adrian Feiguin. Matthew Fisher. Michael Freedman. Matthew Hastings. Ribhu Kaul. Scott Morrison. Chetan Nayak. Simon Trebst. Kevin Walker. Zhenghan Wang. Dimitrie Culcer. D. Culcer, PRB 84, 235411 (2011). . D. Culcer, . Physica. E 44, 860 (2012) – review on TI transport . Outline. Introduction to topological insulators. Guillaume Flandin. Wellcome. Trust Centre for Neuroimaging. University College London. SPM Course. London, . May 2014. Many thanks to Justin . Chumbley. , Tom Nichols and Gareth Barnes . for slides. Michael Freedman. April 23, 2009. Parsa Bonderson. Adrian Feiguin. Matthew Fisher. Michael Freedman. Matthew Hastings. Ribhu Kaul. Scott Morrison. Chetan Nayak. Simon Trebst. Kevin Walker. Zhenghan Wang. Hafezi. , S. Mittal, J. Fan, A. . Migdall. , J.M. Taylor, Nature Photonics, . (. 2013. ) . doi:10.1038/nphoton.2013.274. . Topology . -- the understanding of how things are connected -- remains abstract, even with the popular example of doughnuts and coffee cups. This concept, esoteric as it appears, is also neat because it is the basis for creating . ECE 580. 12. Graph Theory, Topological Analysis - Terms. Topological Analysis: General, systematic, suited for CAD. Graph. : Nodes and directed branches, describes the topology of the circuit, ref. direction. Helps visualize CAD. Graph Traversals. Spring 2015. Yanling He. Graphs. A Graph G = (V, E). Represents relationships among items. Can be directed or undirected. Complexity is O(|E|+|V|) is O(|V|^2). Graph Data Structure. . - Insulating State, Topology and Band Theory. . II. Band Topology in One Dimension. . - Berry phase and electric polarization. - Su Schrieffer . Heeger. model : . domain wall states and . Girish S . Setlur. Department of Physics. IIT Guwahati. COPYRIGHT DISCLAIMER: . ALL ILLUSTRATIONS . AND SOME PASSAGES IN . THESE SLIDES HAVE BEEN DOWNLOADED FROM VARIOUS INTERNET SOURCES.. LISTING EACH SOURCE SEPARATELY WILL TAKE UP ALL MY TIME SO I SHALL DESIST FROM DOING SO..

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