{"id":553,"date":"2023-06-22T10:10:35","date_gmt":"2023-06-22T17:10:35","guid":{"rendered":"https:\/\/dornsife.usc.edu\/sergey-lototsky\/?page_id=553"},"modified":"2023-06-25T18:28:50","modified_gmt":"2023-06-26T01:28:50","slug":"math-705-spring-2020","status":"publish","type":"page","link":"https:\/\/dornsife.usc.edu\/sergey-lototsky\/math-705-spring-2020\/","title":{"rendered":"Math 705, Seminar in Probability, Spring 2020"},"content":{"rendered":"\n\n \n \n\n\n\n\n\n\n\n
\n\n \n \n
\n\n \n

Class meets every Friday 2-4PM in KAP 245; on line starting March 27.<\/p>\n

Faculty Supervisor: <\/strong>Sergey Lototsky. <\/p>\n

Office:<\/strong> KAP 248D.<\/p>\n

Phone:<\/strong> (213) 740-2389. <\/p>\n

Office Hours:<\/strong> MWF 10:30-11:30am.<\/p>\n

Walk-ins and appointments at other time are welcome.<\/p>\n

\n

The objective this semester: <\/strong>To discuss current research projects and future plans of participating students.<\/p>\n

Participating students: <\/strong>Ujan Gangopadhyay, Gin Park, J. E. Paguyo, Austin Pollok, John Rahmani, Apoorva Shah, Yusheng Wu.<\/p>\n

\n

What we did<\/strong><\/p>\n

    \n
  • \n

    January 17<\/strong>: Introduction and general discussion. Suggested plan is to have more frequent but shorter prsentations. People interested in the department probability\/statistics seminar will be leaving early.<\/p>\n<\/li>\n

  • January 24<\/strong>: Presentation by JE on the frog model; Presentation by John on Bose-Einstein statitics.<\/li>\n
  • \n

    January 31<\/strong>:  Presentation by Apoorva on ergodicity for SPDEs; Presentation by Austin on optimal contro.l<\/p>\n<\/li>\n

  • \n

    February 7<\/strong>: Presentation by Ujan on operator limits of random matrices.<\/p>\n<\/li>\n

  • \n

    February 14<\/strong>: Presentation by Gin on general properties of ergodic systems; Presentation by Yusheng on a cluster  search algorithm.<\/p>\n<\/li>\n

  • \n

    February 21<\/strong>: Presentation by John on mixing times and cut-offs in Markov chains.<\/p>\n<\/li>\n

  • \n

    February 28<\/strong>: Presentation by JE on couning Hamiltonian paths in a complete directed graph.<\/p>\n<\/li>\n

  • \n

    March 6<\/strong>: Presentation by Apoorva on ergodicity for SPDEs.<\/p>\n<\/li>\n

  • \n

    March 13<\/strong>: Presentation by Ujan on first passage percolation in complete graphs.<\/p>\n<\/li>\n

  • \n

    March 20<\/strong>: Spring break.<\/p>\n<\/li>\n

  • \n

    March 27<\/strong>: On-line presentation by Gin on invariant measures, ergodicity, and metric entropy of a dynamical system.<\/p>\n<\/li>\n

  • \n

    April 3<\/strong>: On-line presentation by Yusheng about statistical learning models on graphs.<\/p>\n<\/li>\n

  • \n

    April 10<\/strong>: On-line presentation by Austin (rehearsal for the oral exam).<\/p>\n<\/li>\n

  • \n

    April 17<\/strong>: On-line presentation by Apoorva (rehearsal for the oral exam).<\/p>\n<\/li>\n

  • \n

    April 24<\/strong>: On-line presentation by JE on threshhold phenomena for graph properties in random graphs.<\/p>\n<\/li>\n

  • \n

    May 1<\/strong>: On-line presentation by John about mixing times for random walks on groups.<\/p>\n<\/li>\n<\/ul>\n\n\n\n<\/div>\n\n\n <\/div><\/div>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":282,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-553","page","type-page","status-publish","hentry"],"acf":[],"yoast_head":"\nMath 705, Seminar in Probability, Spring 2020 - Sergey Lototsky<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/dornsife.usc.edu\/sergey-lototsky\/math-705-spring-2020\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Math 705, Seminar in Probability, Spring 2020 - Sergey Lototsky\" \/>\n<meta property=\"og:url\" content=\"https:\/\/dornsife.usc.edu\/sergey-lototsky\/math-705-spring-2020\/\" \/>\n<meta property=\"og:site_name\" content=\"Sergey Lototsky\" \/>\n<meta property=\"article:modified_time\" content=\"2023-06-26T01:28:50+00:00\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/dornsife.usc.edu\/sergey-lototsky\/math-705-spring-2020\/\",\"url\":\"https:\/\/dornsife.usc.edu\/sergey-lototsky\/math-705-spring-2020\/\",\"name\":\"Math 705, Seminar in Probability, Spring 2020 - 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