{"id":640,"date":"2025-08-09T20:33:04","date_gmt":"2025-08-09T20:33:04","guid":{"rendered":"https:\/\/imm.am\/?p=640"},"modified":"2025-08-02T20:40:53","modified_gmt":"2025-08-02T20:40:53","slug":"anton-esin-presented-a-talk-at-icmase-2025","status":"publish","type":"post","link":"https:\/\/imm.am\/index.php\/2025\/08\/09\/anton-esin-presented-a-talk-at-icmase-2025\/","title":{"rendered":"Anton Esin Presented a Talk at ICMASE 2025"},"content":{"rendered":"\n<figure class=\"wp-block-image alignleft is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1105\" height=\"768\" src=\"https:\/\/imm.am\/wp-content\/uploads\/2025\/07\/IMG_4345-scaled-e1753972267432.jpg\" alt=\"\" class=\"wp-image-637\" style=\"width:250px;height:auto\" srcset=\"https:\/\/imm.am\/wp-content\/uploads\/2025\/07\/IMG_4345-scaled-e1753972267432.jpg 1105w, https:\/\/imm.am\/wp-content\/uploads\/2025\/07\/IMG_4345-scaled-e1753972267432-300x209.jpg 300w, https:\/\/imm.am\/wp-content\/uploads\/2025\/07\/IMG_4345-scaled-e1753972267432-1024x712.jpg 1024w, https:\/\/imm.am\/wp-content\/uploads\/2025\/07\/IMG_4345-scaled-e1753972267432-768x534.jpg 768w\" sizes=\"auto, (max-width: 1105px) 100vw, 1105px\" \/><\/figure>\n\n\n\n<p>Our head and founder, <strong>Anton Esin<\/strong>, delivered a talk entitled<br><strong>&#8220;Cylindrical Reflected Ornstein\u2013Uhlenbeck Model for High-Speed Mobile Networks&#8221;<\/strong>.<\/p>\n\n\n\n<p>From 15 to 17 July 2025, the <strong>6th International Conference on Mathematics and its Applications in Science and Engineering (ICMASE 2025)<\/strong> took place in Plovdiv, Bulgaria, in a hybrid format. The conference brought together researchers working across a wide spectrum of mathematics, including applied mathematics, analysis, stochastic processes, geometry, and computational methods.<br><a href=\"https:\/\/www.icmase.com\/\">Conference website<\/a><br><a href=\"https:\/\/icmase.com\/uploadfiles\/files\/2025_abstract_book.pdf\">Book of Abstracts (PDF)<\/a><\/p>\n\n\n\n<p>The presentation introduced an analytically tractable model for signal dynamics in quasi-one-dimensional propagation environments typical of high-speed trains and vehicular platoons. Specifically, the model employs a two-dimensional reflected Ornstein\u2013Uhlenbeck diffusion on the cylinder, where the longitudinal signal component QtQ_t is subject to a Doppler-modified drift field and reflection at hard signal boundaries, while the angular component StS_t models the periodic movement of the receiver within a cell.<\/p>\n\n\n\n<p>An explicit stationary distribution \u03c0v0(q,s)\\pi_{v_0}(q, s) is derived in closed form for each fixed speed v0&gt;0v_0 &gt; 0, enabling precise evaluation of signal-dependent performance metrics. In particular, the model provides a necessary and sufficient stability condition for a coupled queueing system with Poisson arrivals and signal-level-dependent service rates. This yields a natural buffer-dimensioning rule for high-mobility scenarios.<\/p>\n\n\n\n<p>The approach unifies path-loss geometry, Doppler-aware signal degradation, and stochastic fluctuation within a mathematically rigorous framework. The work demonstrates how advanced diffusion models can be fruitfully applied to performance analysis in modern mobile networks, including 5G\/6G scenarios involving mobile aggregators and edge devices operating under high-speed conditions.<\/p>\n\n\n\n<p>A full-length research article is currently in preparation.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Our head and founder, Anton Esin, delivered a talk entitled&#8220;Cylindrical Reflected Ornstein\u2013Uhlenbeck Model for High-Speed Mobile Networks&#8221;. From 15 to 17 July 2025, the 6th International Conference on Mathematics and its Applications in Science and Engineering (ICMASE 2025) took place in Plovdiv, Bulgaria, in a hybrid format. The conference brought together researchers working across a [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":635,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_themeisle_gutenberg_block_has_review":false,"footnotes":""},"categories":[1],"tags":[],"class_list":["post-640","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-news"],"_links":{"self":[{"href":"https:\/\/imm.am\/index.php\/wp-json\/wp\/v2\/posts\/640","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/imm.am\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/imm.am\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/imm.am\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/imm.am\/index.php\/wp-json\/wp\/v2\/comments?post=640"}],"version-history":[{"count":2,"href":"https:\/\/imm.am\/index.php\/wp-json\/wp\/v2\/posts\/640\/revisions"}],"predecessor-version":[{"id":644,"href":"https:\/\/imm.am\/index.php\/wp-json\/wp\/v2\/posts\/640\/revisions\/644"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/imm.am\/index.php\/wp-json\/wp\/v2\/media\/635"}],"wp:attachment":[{"href":"https:\/\/imm.am\/index.php\/wp-json\/wp\/v2\/media?parent=640"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/imm.am\/index.php\/wp-json\/wp\/v2\/categories?post=640"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/imm.am\/index.php\/wp-json\/wp\/v2\/tags?post=640"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}