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Joint Seminar of the Analysis, Geometry and Topology Department

Institute of Mathematics and Informatics, BAS Akad.G.Bonchev St, bl. 8, 1113, Sofia

The next meeting of the Joint Seminar of Analysis, Geometry and Topology Department will be held on October 15, 2024 at 2:00 pm (UTC+2)  in Room 478 of IMI. A talk on: Unimodality Preservation by Ratios of Functional Series and Integral Transforms  will be delivered by Dmitrii Karp, Holon Institute of Technology, Holon, Israel. Everybody is invited. Abstract. Elementary, but very useful lemma due to Biernacki and Krzyz (1955) asserts that the ratio of two power series inherits monotonicity from that of the sequence of ratios of their corresponding coefficients. Over the last two decades it has been realized that, under some additional assumptions, similar claims hold for more general series ratios and integral transforms as well as for unimodality in place of monotonicity. In [...]

Operations Research Seminar

Institute of Mathematics and Informatics, BAS Akad.G.Bonchev St, bl. 8, 1113, Sofia

The next meeting of the Operations Research Seminar will be held on October 15th (Tuesday) at 2:00 pm in Room 503 of IMI - BAS. A talk on Asymptotic covariance matrix of Capon’s Maximum likelihood estimator and application of steered response power phase alignment algorithm in seismic array data processing will be held by Alexandr Varipaev, Operations Research, Statistics and Probability Department. Abstract: Capon’s estimator was originally developed for frequency-wavenumber power spectral density analysis. Theoretically, it can be treated as maximum likelihood estimator of unknown vector parameter of multidimensional linear system (MLS) model with one input and m outputs.  Practically important and non-trivial case is considered, when the number of nuisance parameters, which are values of input deterministic signal, tends to infinity. Under assumptions that [...]

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