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Information × Registration Number 0217U002873, 0117U006311 , R & D reports Title Asymptotic analysis of self-similar stochastic systems. popup.stage_title Head Marynych Oleksandr, Registration Date 14-12-2017 Organization Taras Shevchenko Kiev University popup.description2 Object of research: random trees, reshaping coalescents from setstheir mergers, the procedures for random propagation, the schedule of Edgeworth. Purpose: construction of elements of the asymptotic theory of self-similar stohystic systems, in particular, the construction of the classification of weak convergence regimes random processes describing the structure of such systems when their size becomes great; providing a mathematical basis for further research such structures. Methods of research: methods of the theory of random processes, methods of the theory of iterandom systems, methods of the theory of functions of a complex variable, methen probabilistic metrics, method of gluing. The general procedure of choosing a therapist with the help of the process is studied records and boundary theorems for certain characteristics of such procedures. A dropping of random progress through the record process and coalescence of Poisson-Dryhle. We obtain boundary theorems for the number of collision- Tees at the Coalescence of Poisson-Dryhle. The generalized schedule of Ejvor- and for random profiles and their application to the analysis of affiliates a number of random trees. In particular, Edgeworth's schedule for profiles was received binary, recursive, and planar recursive trees. In fullness The asymptotic behavior of the collision spectrum in residual coalescents with multiplicity live mions. Product Description popup.authors О. В. Маринич О. М. Iксанов О. О. Харiна popup.nrat_date 2020-04-02 Close