Ghrist, Robert

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  • Publication
    DTIME: Discrete Topological Imaging for Multipath Environments
    (2010-08-01) Ghrist, Robert; Owen, H.; Robinson, Michael
    This report is presented to summarize work completed under a DARPA seedling project for the imaging of urban environments, using radio multipath measurements and topology extraction algorithms. This report provides an overview of the mathematical theory behind the work, as well as a description of the simulation and results that accompanies the theory.
  • Publication
    5.4.2 - Taylor Series Redux
    (2015-12-01) Ghrist, Robert
    In this series, you will find video assets for all video assets from the massive, open, online course, Calculus: Single Variable. The course is taught by Robert Ghrist of the University of Pennsylvania.
  • Publication
    4.3.2.1 - Elements
    (2015-12-01) Ghrist, Robert
    In this series, you will find video assets for all video assets from the massive, open, online course, Calculus: Single Variable. The course is taught by Robert Ghrist of the University of Pennsylvania.
  • Publication
    4.1.2.2 - Bonus
    (2015-12-01) Ghrist, Robert
    In this series, you will find video assets for all video assets from the massive, open, online course, Calculus: Single Variable. The course is taught by Robert Ghrist of the University of Pennsylvania.
  • Publication
    1.4.1 - Limits
    (2015-12-01) Ghrist, Robert
    In this series, you will find video assets for all video assets from the massive, open, online course, Calculus: Single Variable. The course is taught by Robert Ghrist of the University of Pennsylvania.
  • Publication
    Target Enumeration via Euler Characteristic Integrals
    (2009-07-01) Baryshnikov, Yury; Ghrist, Robert
    We solve the problem of counting the total number of observable targets (e.g., persons, vehicles, landmarks) in a region using local counts performed by a network of sensors, each of which measures the number of targets nearby but neither their identities nor any positional information. We formulate and solve several such problems based on the types of sensors and mobility of the targets. The main contribution of this paper is the adaptation of a topological sheaf integration theory — integration with respect to Euler characteristic — to yield complete solutions to these problems.
  • Publication
    Three examples of applied and computational homology
    (2008-06-01) Ghrist, Robert
    Computational algebraic topology has already existed for some decades, with as its main objective the generation of examples. Nowadays, the field is rapidly changing into an applied branch of mathematics that is important in its own right. Robert Ghrist, topologist at the University of Illinois and one of the winners of the 2007 Scientific American 50 award, gives us three examples that illustrate this development, each with a different origin.
  • Publication
    5.1.2 - Differences
    (2015-12-01) Ghrist, Robert
    In this series, you will find video assets for all video assets from the massive, open, online course, Calculus: Single Variable. The course is taught by Robert Ghrist of the University of Pennsylvania
  • Publication
    3.1.3 - More ODEs
    (2015-12-01) Ghrist, Robert
    In this series, you will find video assets for all video assets from the massive, open, online course, Calculus: Single Variable. The course is taught by Robert Ghrist of the University of Pennsylvania.
  • Publication
    5.3.1 - Infinite Series
    (2015-12-01) Ghrist, Robert
    In this series, you will find video assets for all video assets from the massive, open, online course, Calculus: Single Variable. The course is taught by Robert Ghrist of the University of Pennsylvania.