На 12 април 2024 г. (петък) от 13:00 часа ще се проведе дистанционно заседание на семинара по „Алгебра и логика”. Доклад на тема: On an Aspect of Second Quantum Revolution ще изнесе Валентин Илиев, ИМИ - БАН. Абстракт. The 2022 Nobel Prize in Physics has been awarded to Alain Aspect, John Clauser, and Anton Zeilinger for their work in Quantum Theory. Mass media called this event part of second quantum revolution which includes mainly quantum computing and other super-technologies. Here we discuss Alain Aspect's version of Einstein-Podolsky-Rosen thought experiment and show that there exists an internal dependence of the simultaneous measurements made by the two pairs of linear polarizers operated in each leg of the apparatus during this experiment. The corresponding Shannon-Kolmogorov information flow [...]

Поредната сбирка на Националния семинар по стохастика ще се проведе на 16 април 2024 г. (сряда) от 14:00 часа в зала 503 на ИМИ - БАН. Доклад на тема Convergence Rate for Order 1 Markov Random Walks ще изнесе Петър Гайдаров. Абстракт. We examine the limiting behaviour of an order 1 Markov random walk in R2, i.e. a walk that remembers its previous step. Provided a certain symmetry of the Markovian condition, under relatively mild conditions we prove convergence to a Brownian motion and bound the rate of convergence. Therefore, an order 1 Markov condition is insufficient to alter the limiting behaviour of a random walk.  

Следващата сбирка на Семинара по геометрия на МЦМН ще се проведе в сряда, 24 април 2024 г. от 16:00 ч. в зала 403: Доклад на тема Generalised Plucker formula ще изнесе Андрей Бенгуш-Ласние, МЦМН. Abstract: In order to classify objects in singularity theory and algebraic geometry, we define invariants associated to varieties or germs of singularities and hope to have enough tools to compute them easily. From classical projective duality, for any variety X , we can define a dual variety X∗ and we call the class of X the degree of X∗ . Plücker’s formula allows one to compute this class for plane curves with a certain set of nodes, cusps and tacnodes. We will start our talk by recalling the [...]

Поредната сбирка на семинара Дидактическо моделиране ще се проведе на 29.04.2024 г. от 14:30 ч. в зала 278 на ИМИ. Доклад на тема Дидактически моменти от последните десетилетия ще изнесe проф. Борислав Лазаров.

Следващата сбирка на Семинара по геометрия на МЦМН ще се проведе в сряда, 15 май 2024 г. от 16:00 ч. в зала 403 и онлайн в Zoom: Доклад на тема Hyperbolic amoebas ще изнесе Михаил Школников, ИМИ - БАН. Abstract: Classical amoebas serve as a tool to study algebraic varieties and as one of the entry points to tropical geometry. The original definition involves a logarithmic projection of a subvariety of a complex algebraic torus, which can be interpreted as forgetting the phase, i.e. the arguments of complex numbers. In group-theoretic terms, this projection map may be thought of as passing to the quotient by the maximal compact subgroup. Suppose one replaces the algebraic torus with a complex three-dimensional matrix group. In that case, [...]

На 16 май (четвъртък) от 16:15 часа в зала 502 на ФМИ, ВТУ предстои поредната сбирка на семинара Математически основи на информатиката. Доклад на тема Lee distance in analyzing and modeling rank data ще изнесе Николай И. Николов, главен асистент в секция ИОВС на ИМИ. Резюме: Distances on permutations are commonly used in rank data analysis and are an efficient tool for constructing probability models for rankings. In this talk, we consider some probabilistic applications of the Lee distance, which was originally developed as a generalization of the Hamming distance for error correction coding in modulation. In particular, we study the “K-means” clustering procedure based on Lee distance and approximate the normalizing constant needed for assessing the number of clusters. Furthermore, several asymptotic properties of the random [...]

Поредната сбирка на семинара Дидактическо моделиране ще се проведе на 20.05.2024 г. от 14:30 ч. в зала 278 на ИМИ. Доклад на тема Аксиоматика и построяване на планиметрията на векторна основа ще изнесe доц. Бойко Банчев.