Поредната сбирка на Националния семинар по стохастика ще се проведе на 6 февруари 2019 г. (сряда) от 14:00 часа в зала 403 на ИМИ – БАН. Ще бъдат представени два  доклада на докторанти от University of Paderborn. Alexander Klump: "A specific $N$-particle system of Fleming-Viot Type: Recurrence-transience properties" и Matthias Liesenfeld: "Hidden Markov Model Structure in some Fleming-Viot type particle system" Поканват се всички интересуващи се. Abstract (A. Klump): We introduce a particle process of $N$ individuals which perform Brownian motion in one or more dimensions up to an exponential time with rate $\lambda N$. At this time the particle with the minimal fitness jumps on an uniformly chosen remaining particle, where fitness is measured by the function $s(x) = 1/||x||$. We can prove [...]

НАЦИОНАЛЕН СЕМИНАР ПО СТОХАСТИКА и ИНТЕРДИСЦИПЛИНАРЕН СЕМИНАР ПО БИОМАТЕМАТИКА И НАУЧНИ ИЗЧИСЛЕНИЯ На 4 декември 2018 г. (вторник) от 15:00 часа в Заседателната зала на ИМИ – БАН, ще се състои съвместно заседание посветено на Годината на математическата биология – 2018. Stochastic Models of Cell Proliferation   проф. дмн Николай М. Янев This is a survey lecture about stochastic modeling in cell proliferation kinetics. One purpose of this work is to present also some new ideas and problems in the theory of branching stochastic processes which appear as a result of cell proliferation modeling. Recall that the terminology "branching processes" was first introduced by Kolmogorov (1946) as well as the modern base of this theory. The following topics are considered: Some characteristics of cell cycle [...]

Поредната сбирка на Националния семинар по стохастика ще се проведе на 21 ноември 2018 г. (сряда) от 14:00 в зала 403 на ИМИ-БАН. Доклад на тема "Mathematics in carcinogenesis: mistakes and their consequences" ще изнесе Mariia Beliaeva. Резюме: With the arrival of evidence-based medicine mathematics is becoming closer to medical research, making the latter’s findings more science-based. However, some physicians develop mathematical models on their own, without any mathematical assistance and expertise. Sometimes the well-known conclusions of those amateurish theories mean nothing as they contain elementary mathematical mistakes, which nobody detects and corrects. The report describes the difference between mathematics and mathematics made by medics, in the carcinogenesis research. Epidemiological data analysis carried out by means of a special model, shows that the mathematical [...]

Поредната сбирка на Националния семинар по стохастика ще се проведе на 7 ноември 2018 г. (сряда) от 14:00 в зала 403 на ИМИ-БАН. Доклад на тема "Asymptotic properties of Lee distance" ще изнесе Николай И. Николов (ИМИ-БАН). Резюме: Distances on permutations are often convenient tools for analyzing and modeling rank data. They capture the main feature of the data and provide a basis for further investigation. In this talk, some statistical properties of the Lee distance are studied.  Asymptotic results for the random variable induced by Lee distance are derived and used to compare the Distance-based probability model and the Marginals model for complete rankings. Some statistical tools for estimating the unknown parameters and testing the goodness-of-fit of the presented models are considered for [...]

Поредната сбирка на Националния семинар по Стохастика ще се проведе на 16 януари 2018 г. (вторник) от 14:15 часа в зала 403 на ИМИ - БАН с доклад на Пенка Майстер на тема: Consecutive Subordination of Poisson Processes and Gamma Processes Абстракт на доклада Поканват се всички желаещи.

Поредната сбирка на Националния семинар по стохастика ще се проведе на 19 януари 2018 г. от 14:00 в зала 403 на ИМИ-БАН с доклад на Жана Кунчева (Imperial College London, UK) на тема: Multi-scale Community Detection in Temporal Networks Using Spectral Graph Wavelets Резюме: Spectral graph wavelets introduce a notion of scale in networks, and are thus used to obtain a local view of the network from each node. By carefully constructing a wavelet filter function for these wavelets, a multi-scale community detection method for monoplex networks has already been developed. This construction takes advantage of the partitioning properties of the network Laplacian. In this paper we elaborate on a novel method which uses spectral graph wavelets to detect multi-scale communities in temporal networks. [...]