"Non UBC"@en . "DSpace"@en . "Baryshnikov, Yuliy"@en . "2018-01-29T06:03:36Z"@* . "2017-08-01T09:04"@en . "Recently, the statistics of short bars in persistence diagrams started to draw a lot of attention (especially from material sciences) as a descriptor of functions or spaces. \n\nI will talk about reformulation of some known results in terms of the PH point processes. \n\nNew results deal with the generic PH-dimension for Lipschitz or Hoelder functions on manifolds, and statistics of short bars (and their chiralities) for Brownian motions."@en . "https://circle.library.ubc.ca/rest/handle/2429/64480?expand=metadata"@en . "64 minutes"@en . "video/mp4"@en . ""@en . "Author affiliation: University of Illinois at Urbana-Champaign"@en . "10.14288/1.0363283"@en . "eng"@en . "Unreviewed"@en . "Vancouver : University of British Columbia Library"@en . "Banff International Research Station for Mathematical Innovation and Discovery"@en . "Attribution-NonCommercial-NoDerivatives 4.0 International"@en . "http://creativecommons.org/licenses/by-nc-nd/4.0/"@en . "Faculty"@en . "BIRS Workshop Lecture Videos (Banff, Alta)"@en . "Mathematics"@en . "Algebraic topology"@en . "Probability theory and stochastic processes"@en . "Data mining"@en . "PH-Jitter"@en . "Moving Image"@en . "http://hdl.handle.net/2429/64480"@en .