{"id":1762,"date":"2024-04-29T21:42:51","date_gmt":"2024-04-30T04:42:51","guid":{"rendered":"https:\/\/dornsife.usc.edu\/sergey-lototsky\/?page_id=1762"},"modified":"2026-06-19T22:11:55","modified_gmt":"2026-06-20T05:11:55","slug":"math-606-in-summer-2024-extreme-values-and-rare-events","status":"publish","type":"page","link":"https:\/\/dornsife.usc.edu\/sergey-lototsky\/math-606-in-summer-2024-extreme-values-and-rare-events\/","title":{"rendered":"Math 606 in Summer 2024: Extreme Values and Rare Events"},"content":{"rendered":"\n\n  \n    \n\n\n\n\n\n\n<div\n  class=\"cc--component-container cc--rich-text \"\n\n  \n  \n  \n  \n  \n  \n  >\n  <div class=\"c--component c--rich-text\"\n    \n      >\n\n    \n      \n<div class=\"f--field f--wysiwyg\">\n\n    \n  <h1 align=\"center\">Class number 054\u201339482R<br \/>\nClass meetings: MW, 9:30am-12:30pm, KAP 163.<\/h1>\n<h2 align=\"center\">Information on this and related pages changes frequently.<\/h2>\n<h2><strong> Instructor: <\/strong> <a href=\"https:\/\/dornsife.usc.edu\/sergey-lototsky\/\" target=\"_blank\" rel=\"noopener\">Sergey Lototsky<\/a>.<\/h2>\n<h2><strong>Office:<\/strong> KAP 248D.<br \/>\n<strong> Phone:<\/strong> 213 740 2389<br \/>\n<strong> E-mail:<\/strong> lototsky usc edu.<\/h2>\n<p><strong>Office Hours:<\/strong> MW\u00a0 after the class. Appointments at other time are welcome.<\/p>\n<p><strong> Course objective:\u00a0 <\/strong>to get used to mathematical tools for quantifying and modeling extreme and\/or unlikely behavior.<\/p>\n<p><strong>More general goal<\/strong>: to learn something interesting, new, and\/or useful.<\/p>\n<p><strong> Official grading scheme: <\/strong>20% class participation, 40% homework assignments, 40% final presentation.<\/p>\n<p><strong>Main reference: <\/strong>Sidney I. Resnick. Extreme values, regular variation and point processes. Reprint of the 1987 original. Springer Series in Operations Research and Financial Engineering, <em>Springer, New York,<\/em> 2008. xiv+320 pp. I<span class=\"font-weight-bold\" data-v-30350a6d=\"\">SBN: <\/span><span data-v-30350a6d=\"\">978-0-387-75952-4<\/span><\/p>\n<p>This book is\u00a0 indeed\u00a0\u00a0 <strong>three-in-one<\/strong>: \u00a0\u00a0 \u00a0\u00a0\u00a0 <a href=\"https:\/\/dornsife.usc.edu\/sergey-lototsky\/wp-content\/uploads\/sites\/211\/2024\/05\/RegularVariation-BookCover.png\" target=\"_blank\" rel=\"noopener\">Regular Variation<\/a>\u00a0\u00a0\u00a0\u00a0 <a href=\"https:\/\/dornsife.usc.edu\/sergey-lototsky\/wp-content\/uploads\/sites\/211\/2024\/05\/PointProc-Book-Cover.png\" target=\"_blank\" rel=\"noopener\">Point Processes<\/a><\/p>\n<p><a href=\"https:\/\/dornsife.usc.edu\/sergey-lototsky\/wp-content\/uploads\/sites\/211\/2024\/05\/RefsForExtremeValuesAndRareEvents.pdf\" target=\"_blank\" rel=\"noopener\">A longer list of references<\/a><\/p>\n<p><a href=\"https:\/\/dornsife.usc.edu\/sergey-lototsky\/wp-content\/uploads\/sites\/211\/2024\/06\/ThePeopleOfExtremeValues.pdf\" target=\"_blank\" rel=\"noopener\">The People Of Extreme Values<\/a><\/p>\n<p><a href=\"https:\/\/dornsife.usc.edu\/sergey-lototsky\/wp-content\/uploads\/sites\/211\/2024\/07\/ExtremeValuesAndRareEvents.pdf\" target=\"_blank\" rel=\"noopener\">Homework problems and more<\/a><\/p>\n<p><strong>An example of a book review from <\/strong><em>Math reviews<\/em> [<a href=\"https:\/\/dornsife.usc.edu\/sergey-lototsky\/wp-content\/uploads\/sites\/211\/2023\/06\/FrizHarier-BookRev-MathRev-1.pdf\" target=\"_blank\" rel=\"noopener\">Edition 1<\/a>, <a href=\"https:\/\/dornsife.usc.edu\/sergey-lototsky\/wp-content\/uploads\/sites\/211\/2023\/06\/FrizHarier-BookRev-MathRev-2.pdf\" target=\"_blank\" rel=\"noopener\">Edition 2<\/a>] <strong>and<\/strong> <strong>from<\/strong> the <a href=\"https:\/\/dornsife.usc.edu\/sergey-lototsky\/wp-content\/uploads\/sites\/211\/2023\/06\/FrizHarier-BookRev-BulletAMS.pdf\" target=\"_blank\" rel=\"noopener\">Bulletin of the AMS<\/a><\/p>\n<p><strong>My notes<\/strong><\/p>\n<ul>\n<li><a href=\"https:\/\/dornsife.usc.edu\/sergey-lototsky\/wp-content\/uploads\/sites\/211\/2023\/06\/Inequalities-Probab-Basic.pdf\" target=\"_blank\" rel=\"noopener\">Basic inequalities<\/a><\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/sergey-lototsky\/wp-content\/uploads\/sites\/211\/2023\/06\/Normal-summary.pdf\" target=\"_blank\" rel=\"noopener\">Gaussian objects: Normal random variables, CLT, and more<\/a><\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/sergey-lototsky\/wp-content\/uploads\/sites\/211\/2023\/06\/BM-summary-1.pdf\" target=\"_blank\" rel=\"noopener\">A summary of Brownian motion<\/a><\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/sergey-lototsky\/wp-content\/uploads\/sites\/211\/2023\/12\/LambertW.pdf\" target=\"_blank\" rel=\"noopener\">Lambert\u2019s W function<\/a><\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/sergey-lototsky\/wp-content\/uploads\/sites\/211\/2023\/08\/GammaBetaFunctions.pdf\" target=\"_blank\" rel=\"noopener\">Gamma and Beta Functions<\/a><\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/sergey-lototsky\/wp-content\/uploads\/sites\/211\/2024\/05\/CauchyFunctEq.pdf\" target=\"_blank\" rel=\"noopener\">Cauchy&#8217;s functional equation<\/a><\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/sergey-lototsky\/wp-content\/uploads\/sites\/211\/2023\/07\/CauchyDistribution.pdf\" target=\"_blank\" rel=\"noopener\">Cauchy distribution<\/a><\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/sergey-lototsky\/wp-content\/uploads\/sites\/211\/2023\/06\/HarmonicNumbers.pdf\" target=\"_blank\" rel=\"noopener\">About harmonic numbers<\/a><\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/sergey-lototsky\/wp-content\/uploads\/sites\/211\/2023\/06\/RenewalTheory-summary.pdf\" target=\"_blank\" rel=\"noopener\">A summary of renewal theory<\/a><\/li>\n<li>Markov processes: <a href=\"https:\/\/dornsife.usc.edu\/sergey-lototsky\/wp-content\/uploads\/sites\/211\/2023\/06\/MarkovProc-1.pdf\" target=\"_blank\" rel=\"noopener\">A summary of continuous-time Markov processes<\/a>, <a href=\"https:\/\/dornsife.usc.edu\/sergey-lototsky\/wp-content\/uploads\/sites\/211\/2023\/06\/CTMC.pdf\" target=\"_blank\" rel=\"noopener\">A summary of continuous time Markov chains<\/a><\/li>\n<li>Poisson process: <a href=\"https:\/\/dornsife.usc.edu\/sergey-lototsky\/wp-content\/uploads\/sites\/211\/2024\/05\/PoissonProcess.png\" target=\"_blank\" rel=\"noopener\">definition<\/a>, <a href=\"https:\/\/dornsife.usc.edu\/sergey-lototsky\/wp-content\/uploads\/sites\/211\/2024\/05\/PoissonArrivals.png\" target=\"_blank\" rel=\"noopener\">arrival times<\/a>, <a href=\"https:\/\/dornsife.usc.edu\/sergey-lototsky\/wp-content\/uploads\/sites\/211\/2024\/05\/PoissonGaps.png\" target=\"_blank\" rel=\"noopener\">waiting times<\/a><\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/sergey-lototsky\/wp-content\/uploads\/sites\/211\/2023\/06\/StochAnalysis.pdf\" target=\"_blank\" rel=\"noopener\">Stochastic analysis in continuous time <\/a><\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/sergey-lototsky\/wp-content\/uploads\/sites\/211\/2023\/06\/WeakConvergence.pdf\" target=\"_blank\" rel=\"noopener\">Weak convergence of probability measures<\/a><\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/sergey-lototsky\/wp-content\/uploads\/sites\/211\/2024\/05\/RareEvents-LDP.pdf\" target=\"_blank\" rel=\"noopener\">LDP and rare events<\/a><\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/sergey-lototsky\/wp-content\/uploads\/sites\/211\/2024\/05\/ExtremeValues.pdf\" target=\"_blank\" rel=\"noopener\">Extremes<\/a><\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/sergey-lototsky\/wp-content\/uploads\/sites\/211\/2023\/06\/LDP-summary.pdf\" target=\"_blank\" rel=\"noopener\">A summary of large deviations<\/a><\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/sergey-lototsky\/wp-content\/uploads\/sites\/211\/2023\/06\/CmMartGsvMeyerTheorem.pdf\" target=\"_blank\" rel=\"noopener\">A summary of the Cameron-Martin-Girsanov theorem and related results<\/a><\/li>\n<\/ul>\n<p><strong>Other notes<\/strong><\/p>\n<ul>\n<li><a href=\"https:\/\/dornsife.usc.edu\/sergey-lototsky\/wp-content\/uploads\/sites\/211\/2023\/06\/ProbabDistributions.pdf\" target=\"_blank\" rel=\"noopener\">(Almost) everything you need to know about probability distributions<\/a><\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/sergey-lototsky\/wp-content\/uploads\/sites\/211\/2023\/06\/CouponCollectorProblem-UCDavis.pdf\" target=\"_blank\" rel=\"noopener\">Coupon collection problem\u00a0<\/a> (an example where an extreme value distribution can appear in the limit)<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/sergey-lototsky\/wp-content\/uploads\/sites\/211\/2024\/05\/PointProcAndRandMatrices-Johansson.pdf\" target=\"_blank\" rel=\"noopener\">Determinant point processes<\/a><\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/sergey-lototsky\/wp-content\/uploads\/sites\/211\/2024\/05\/CaucyFunctionalEquation-KVerma.pdf\" target=\"_blank\" rel=\"noopener\">All about Cauchy&#8217;s functional equation<\/a><\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/sergey-lototsky\/wp-content\/uploads\/sites\/211\/2023\/12\/ApplicationsOfLambertW-KnuthAtAl.pdf\" target=\"_blank\" rel=\"noopener\">Lambert\u2019s W function<\/a><\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/sergey-lototsky\/wp-content\/uploads\/sites\/211\/2024\/06\/Association-1967.pdf\" target=\"_blank\" rel=\"noopener\">The classical paper about associated random variables<\/a><\/li>\n<li>The Pickands-Balkema-de Haan theorem: the original papers by <a href=\"https:\/\/dornsife.usc.edu\/sergey-lototsky\/wp-content\/uploads\/sites\/211\/2024\/06\/Pickands-original.pdf\" target=\"_blank\" rel=\"noopener\">Pichands<\/a> and <a href=\"https:\/\/dornsife.usc.edu\/sergey-lototsky\/wp-content\/uploads\/sites\/211\/2024\/06\/BalkemaDeHaan-original.pdf\" target=\"_blank\" rel=\"noopener\">Balkema and De Haan<\/a>, and a <a href=\"https:\/\/dornsife.usc.edu\/sergey-lototsky\/wp-content\/uploads\/sites\/211\/2024\/06\/Exact-EVT-Pickands-Balkema-DeHaan-ByMakarov.pdf\" target=\"_blank\" rel=\"noopener\">more modern treatment<\/a><\/li>\n<\/ul>\n<p><strong>Our progress.<\/strong><\/p>\n<p><strong>May 15.\u00a0 <\/strong> An overview of the class, the book, and some foundational material from real analysis and probability; three types of extreme value distributions.<br \/>\nRelated material: \u00a0<a href=\"https:\/\/dornsife.usc.edu\/sergey-lototsky\/wp-content\/uploads\/sites\/211\/2023\/06\/RV-Convergence-1.pdf\" target=\"_blank\" rel=\"noopener\">Convergence of random variables<\/a>\u00a0 and an <a href=\"https:\/\/dornsife.usc.edu\/sergey-lototsky\/wp-content\/uploads\/sites\/211\/2023\/06\/Convergence-Pics.png\" target=\"_blank\" rel=\"noopener\">illustration<\/a><\/p>\n<p><strong>May 20.\u00a0 <\/strong>Convergence of max of iid-s: normalization, domains of attraction, generalized extreme value distribution.<br \/>\n<strong>May 22.<\/strong> Beyond convergence in distribution: convergence of moments, convergence of pdf-s, convergence of the tails, rate of convergence in the Kolmogorov metric.<\/p>\n<p><strong>May 27.<\/strong>\u00a0 No class (Memorial Day, University Holiday)<br \/>\n<strong>May 29.<\/strong>\u00a0 Random measures, weak and vague convergence, Poisson random measure.<\/p>\n<p><strong>June 3.\u00a0 <\/strong>Record times, record values, and related concepts: definitions, examples, and asymptotics; a brief overview of the Skorokhod space D.<br \/>\n<strong>June 5. <\/strong>Some extensions to non-iid case and to vector case; a few words about copula and association.<\/p>\n<p><strong>June 10. <\/strong>Statistical aspects of extreme value theory: Pickands-Balkema-de Haan theorem, tail index estimation, prediction of records.<br \/>\n<strong>June 12. <\/strong>Large Deviations Principle, theorems of Cramer and Schilder, and applications.<\/p>\n<p><strong>June 17. <\/strong>Importance sampling: motivation, general idea, a concrete connection with large deviations, and some examples.<br \/>\n<strong>June 19.<\/strong>\u00a0 No class (Juneteenth, Non-Instructional Day)<\/p>\n<p><strong>June 24. <\/strong>More on random point measures: construction of the n-point correlation function and a few examples.<br \/>\n<strong>June 26. <\/strong>Determinantal point processes and the distribution of the largest eigenvalue in a GUE.<\/p>\n<p><strong>July 1. <\/strong>Concluding discussion: what did you learn, what would you like to lean in more detail, what was your favorite homework problem?<\/p>\n<p>&nbsp;<\/p>\n\n\n\n<\/div>\n\n\n  <\/div><\/div>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":385,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-1762","page","type-page","status-publish","hentry"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.0 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Math 606 in Summer 2024: Extreme Values and Rare Events - 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-606-in-summer-2024-extreme-values-and-rare-events\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Math 606 in Summer 2024: Extreme Values and Rare Events - Sergey Lototsky\" \/>\n<meta property=\"og:url\" content=\"https:\/\/dornsife.usc.edu\/sergey-lototsky\/math-606-in-summer-2024-extreme-values-and-rare-events\/\" \/>\n<meta property=\"og:site_name\" content=\"Sergey Lototsky\" \/>\n<meta property=\"article:modified_time\" content=\"2026-06-20T05:11:55+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-606-in-summer-2024-extreme-values-and-rare-events\\\/\",\"url\":\"https:\\\/\\\/dornsife.usc.edu\\\/sergey-lototsky\\\/math-606-in-summer-2024-extreme-values-and-rare-events\\\/\",\"name\":\"Math 606 in Summer 2024: Extreme Values and Rare Events - Sergey Lototsky\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/dornsife.usc.edu\\\/sergey-lototsky\\\/#website\"},\"datePublished\":\"2024-04-30T04:42:51+00:00\",\"dateModified\":\"2026-06-20T05:11:55+00:00\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/dornsife.usc.edu\\\/sergey-lototsky\\\/math-606-in-summer-2024-extreme-values-and-rare-events\\\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/dornsife.usc.edu\\\/sergey-lototsky\\\/math-606-in-summer-2024-extreme-values-and-rare-events\\\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/dornsife.usc.edu\\\/sergey-lototsky\\\/math-606-in-summer-2024-extreme-values-and-rare-events\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\\\/\\\/dornsife.usc.edu\\\/sergey-lototsky\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Math 606 in Summer 2024: Extreme Values and Rare Events\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/dornsife.usc.edu\\\/sergey-lototsky\\\/#website\",\"url\":\"https:\\\/\\\/dornsife.usc.edu\\\/sergey-lototsky\\\/\",\"name\":\"Sergey Lototsky\",\"description\":\"USC Dornsife Sergey Lototsky\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/dornsife.usc.edu\\\/sergey-lototsky\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Math 606 in Summer 2024: Extreme Values and Rare Events - Sergey Lototsky","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/dornsife.usc.edu\/sergey-lototsky\/math-606-in-summer-2024-extreme-values-and-rare-events\/","og_locale":"en_US","og_type":"article","og_title":"Math 606 in Summer 2024: Extreme Values and Rare Events - Sergey Lototsky","og_url":"https:\/\/dornsife.usc.edu\/sergey-lototsky\/math-606-in-summer-2024-extreme-values-and-rare-events\/","og_site_name":"Sergey Lototsky","article_modified_time":"2026-06-20T05:11:55+00:00","twitter_card":"summary_large_image","schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/dornsife.usc.edu\/sergey-lototsky\/math-606-in-summer-2024-extreme-values-and-rare-events\/","url":"https:\/\/dornsife.usc.edu\/sergey-lototsky\/math-606-in-summer-2024-extreme-values-and-rare-events\/","name":"Math 606 in Summer 2024: Extreme Values and Rare Events - Sergey Lototsky","isPartOf":{"@id":"https:\/\/dornsife.usc.edu\/sergey-lototsky\/#website"},"datePublished":"2024-04-30T04:42:51+00:00","dateModified":"2026-06-20T05:11:55+00:00","breadcrumb":{"@id":"https:\/\/dornsife.usc.edu\/sergey-lototsky\/math-606-in-summer-2024-extreme-values-and-rare-events\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/dornsife.usc.edu\/sergey-lototsky\/math-606-in-summer-2024-extreme-values-and-rare-events\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/dornsife.usc.edu\/sergey-lototsky\/math-606-in-summer-2024-extreme-values-and-rare-events\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/dornsife.usc.edu\/sergey-lototsky\/"},{"@type":"ListItem","position":2,"name":"Math 606 in Summer 2024: Extreme Values and Rare Events"}]},{"@type":"WebSite","@id":"https:\/\/dornsife.usc.edu\/sergey-lototsky\/#website","url":"https:\/\/dornsife.usc.edu\/sergey-lototsky\/","name":"Sergey Lototsky","description":"USC Dornsife Sergey Lototsky","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/dornsife.usc.edu\/sergey-lototsky\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"}]}},"_links":{"self":[{"href":"https:\/\/dornsife.usc.edu\/sergey-lototsky\/wp-json\/wp\/v2\/pages\/1762","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/dornsife.usc.edu\/sergey-lototsky\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/dornsife.usc.edu\/sergey-lototsky\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/dornsife.usc.edu\/sergey-lototsky\/wp-json\/wp\/v2\/users\/385"}],"replies":[{"embeddable":true,"href":"https:\/\/dornsife.usc.edu\/sergey-lototsky\/wp-json\/wp\/v2\/comments?post=1762"}],"version-history":[{"count":70,"href":"https:\/\/dornsife.usc.edu\/sergey-lototsky\/wp-json\/wp\/v2\/pages\/1762\/revisions"}],"predecessor-version":[{"id":2605,"href":"https:\/\/dornsife.usc.edu\/sergey-lototsky\/wp-json\/wp\/v2\/pages\/1762\/revisions\/2605"}],"wp:attachment":[{"href":"https:\/\/dornsife.usc.edu\/sergey-lototsky\/wp-json\/wp\/v2\/media?parent=1762"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}