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X-WR-CALNAME:Institute of Mathematics and Informatics
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X-WR-CALDESC:Събития за Institute of Mathematics and Informatics
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DTSTART;TZID=Europe/Sofia:20231017T140000
DTEND;TZID=Europe/Sofia:20231017T153000
DTSTAMP:20260510T023048
CREATED:20231010T074351Z
LAST-MODIFIED:20231010T074351Z
UID:15108-1697551200-1697556600@math.bas.bg
SUMMARY:Семинар на МЦМН
DESCRIPTION:Дата: 17.10.2023 г.\, 14:00 ч. \nМясто: Зала 403\, ИМИ – БАН \nДокладчик: Михаил Школников\, ИМИ – БАН \nДоклад: Tropical structures in sandpile model \nРезюме: The sandpile model is a cellular automaton that can be defined on any graph. Though it has appeared independently in a variety of contexts\, it attracted tremendous attention from the wide scientific community when its instance on a large domain of the square lattice was put forward as the simplest rigorous example of self-organized criticality. Such phenomena\, real-life examples of which are earthquakes\, solar flares\, or neuronal avalanches\, could be vaguely described as being between order and chaos\, demonstrating power laws without being finely tuned\, and transcending the scale. Tropical geometry\, on the other hand\, is a field of pure mathematics often presented as a combinatorial version of algebraic geometry. I will tell how tropical curves arise in the scaling limit of the sandpile model in the vicinity of the maximal stable state and explain two major consequences inspired by this fact. The first one is that there is a continuous model for self-organized criticality\, the only known model of a kind\, defined in the realm of tropical geometry. The second is that the totality of recurrent states in the original sandpile model\, the sandpile group\, approximates a continuous group\, a tropical Abelian variety\, which is functorial with respect to inclusions of domains\, allowing to compute its scaling limit as a space of circle-valued harmonic functions on the whole lattice. \nhttps://icms.bg/tropical-structures-in-sandpile-model-talk-by-mikhail-shkolnikov/ \n 
URL:https://math.bas.bg/event/%d1%81%d0%b5%d0%bc%d0%b8%d0%bd%d0%b0%d1%80-%d0%bd%d0%b0-%d0%bc%d1%86%d0%bc%d0%bd-4/
LOCATION:Институт по математика и информатика – БАН\, Block 8\, 1113 БАН IV км.\, София\, Bulgaria
CATEGORIES:Редовен семинар
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BEGIN:VEVENT
DTSTART;TZID=Europe/Sofia:20231017T140000
DTEND;TZID=Europe/Sofia:20231017T153000
DTSTAMP:20260510T023048
CREATED:20231010T182843Z
LAST-MODIFIED:20231010T182843Z
UID:15166-1697551200-1697556600@math.bas.bg
SUMMARY:Семинар на секция "Изследване на операциите\, вероятности и статистика"
DESCRIPTION:На 17 октомври 2023 (вторник) от 14:00 в зала 503 на ИМИ ще се проведе поредното заседание на семинара на секция „Изследване на операциите\, вероятности и статистика”. \nДоклад на тема: \nOn an Infinite-Time Horizon Linear-Quadratic Game with Constrained Control\nще изнесе Боян Стефанов.\n \nАбстракт. A linear-quadratic game on an infinite horizon for continuous and discrete-time systems is studied when the controls of the minimizing player are constrained. Our approach is based on the approximation of this game by a suitable finite-time horizon game. First\, the existence of a saddle point equilibrium is proved for the unconstrained case. Next\, it is established that there exists a delta-neighborhood of the origin in the state space where the control constraints are not active. Using this neighborhood\, the original problem is reduced to a suitable finite-time horizon game. The main result is a sufficient condition for the existence of saddle point equilibrium. As an illustration\, the approach is applied to a basic monetary policy model. The discrete case is also briefly discussed.
URL:https://math.bas.bg/event/%d1%81%d0%b5%d0%bc%d0%b8%d0%bd%d0%b0%d1%80-%d0%bd%d0%b0-%d1%81%d0%b5%d0%ba%d1%86%d0%b8%d1%8f-%d0%b8%d0%b7%d1%81%d0%bb%d0%b5%d0%b4%d0%b2%d0%b0%d0%bd%d0%b5-%d0%bd%d0%b0-%d0%be%d0%bf%d0%b5%d1%80%d0%b0-5/
LOCATION:Институт по математика и информатика – БАН\, Block 8\, 1113 БАН IV км.\, София\, Bulgaria
CATEGORIES:Редовен семинар
ORGANIZER;CN="%D0%A1%D0%B5%D0%BA%D1%86%D0%B8%D1%8F%20%D0%98%D0%B7%D1%81%D0%BB%D0%B5%D0%B4%D0%B2%D0%B0%D0%BD%D0%B5%20%D0%BD%D0%B0%20%D0%BE%D0%BF%D0%B5%D1%80%D0%B0%D1%86%D0%B8%D0%B8%D1%82%D0%B5%2C%20%D0%B2%D0%B5%D1%80%D0%BE%D1%8F%D1%82%D0%BD%D0%BE%D1%81%D1%82%D0%B8%20%D0%B8%20%D1%81%D1%82%D0%B0%D1%82%D0%B8%D1%81%D1%82%D0%B8%D0%BA%D0%B0":MAILTO:jeni@math.bas.bg;
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