General branching processes,
Catalytic branching random walks,
Multidimensional Markov random walks with continuous time,
Multi-type Bellman–Harris branching processes,
Renewal theory,
Queuing theory,
Limit theorems,
Applications of probability theory in biology and medicine.
The main part of articles is devoted to investigation of limit theorems of probability theory, the asymptotic properties of branching processes. For general branching processes developed research methods and limit theorems for various deviations of a broad class of functionals of processes under weak restrictions on the distribution of the number of offspring and life-length of particles. These methods can be applied to the renewal theory. In the last articles, new methods for studying random walks with inhomogeneous branching, queuing systems with continual branching random trees, multiplicative branching processes, models of the evolution of populations with a restriction on the total number of particles. Under the leadership of V. Topchii developing a methodology for the creation of electronic teaching and testing the theory of probability.
Main publications:
Topchii, V. A., Vatutin, V. A., “Individuals at the origin in the critical catalytic branching random walk”, Discrete Mathematics & Theoretical Computer Science, 6 (2003), 325–332
Pertsev, N.V.; Topchii, V.A.; Loginov, K.K., “Numerical Stochastic Simulation of Spatially Heterogeneous Population”, Numerical Analysis and Applications, 17 (2024), 174–187
2.
V. A. Topchii, “Properties of critical branching random walks on the line under non-extinction condition”, Diskretnaya Matematika, 35:1 (2023), 107-127
3.
Pertsev, N.V.; Topchii, V.A.; Loginov, K.K., “Stochastic Modeling of Time- and Place-Local Contacts of Individuals in an Epidemic Process”, Journal of Applied and Industrial Mathematics, 2023, 355-369
4.
V. A. Topchii, N. V. Pertsev, “Critical multitype branching processes on a graph and the model of the HIV infection development”, Sib. elektron. matem. izv., 20:1 (2023), 465–476
Pertsev, N. , Topchii, V. , Loginov, K., “Stochastic Modeling of the Epidemic Process Based On a Stage-Dependent Model with Non-Markov Constraints for Individuals”, Mathematical Biology and Bioinformatics, 18:1 (2023), 355–369
6.
V.I. Chebotarev, I. S. Borisov, V. A. Topchii, and V. A. Vatutin, “Sergey Viktorovich Nagaev (On His 90th Birthday)”, Theory of Probability & Its Applications, 68:2 (2023)
7.
Topchii V.A., “Properties of ongoing critical branching processes with countable particle types”, Mezhdunarodnaya konferentsiya “Branching Processes, Random Walks and Probability on Discrete Structures” (22 iyunya 2022 g. 16:50–17:20, g. Moskva), IM RAN, Moskva, 2022
8.
Topchii V.A., “Kriticheskie vetvyaschiesya protsessy so schetnym chislom tipov chastits i sluchainye grafy”, Rabota vypolnena v ramkakh gosudarstvennogo zadaniya IM SO RAN, proekt FWNF-2022-0003., Sbornik tezisov mezhdunarodnoi konferentsii «BOROVKOVSKIE ChTENIYa» (Novosibirsk, 24 – 26 avgusta, 2022), IM SO RAN, 2022, 18 http://math.nsc.ru/LBRT/v1/conf2022/files/result_russian_footnote.pdf
9.
Pertsev, N.V.; Topchii, V.A.; Loginov, K.K., “Numerical Stochastic Modeling of Dynamics of Interacting Populations”, Journal of Applied and Industrial Mathematics, 16 (2022), 524-539
10.
V. A. Vatutin, E. E. Dyakonova, V. A. Topchii, “Critical Galton-Watson branching processes with a countable set of types and infinite second moments”, Sb. Math., 212:1 (2021), 1–24
11.
Pertsev N.V., V.A. Topchii, “Application of a multitype branching processes on a graph to the model of the HIV infection development”, IWBPA21, Book of Abstract. The 5th International Workshop on Branching Processes and their Applications (April, 2021) (Spain, Badajoz, April 2021), 2021, 122–123 https://drive.google.com/file/d/1FQUgqj1R5AmtxcWqUubNrEc3iBI2WxBr/view
12.
Bocharov, G.A., Loginov, K.K., Pertsev, N.V., Topchii, V.A., “Direct Statistical Modeling of HIV-1 Infection Based on a Non-Markovian Stochastic Model”, Computational Mathematics and Mathematical Physics, 61:8 (2021), 1229–1251
13.
Nikolai V. Pertsev, Valentin A. Topchii and Konstantin K. Loginov, “Numerical modelling of the transition of infected cells and virions between two lymph nodes in a stochastic model of HIV-1 infection”, Russian Journal of Numerical Analysis and Mathematical Modelling, 36:5 (2021)
N. V. Pertsev, K. K. Loginov, V. A. Topchii, “Analysis of an epidemic mathematical model based on delay differential equations”, J. Appl. Industr. Math., 14:2 (2020), 394–404
18.
N. V. Pertsev, K. K. Loginov, V. A. Topchii, “Analysis of a stage-dependent epidemic model based on a non-Markov random process”, J. Appl. Industr. Math., 14:3 (2020), 566–580
19.
Loginov K. K., Pertsev N. V., Topchii V.A., “Stokhasticheskoe modelirovanie kompartmentnykh sistem s trubkami”, Matematicheskaya biologiya i bioinformatika, 14:1 (2019), 188-203
Topchii V. A., “Critical Multitype Branching Processes”, Applied Probability Workshop (Novosibirsk State University, Sobolev Institute of Mathematics August 19-23, 2019, Novosibirsk, Russian Federation), Novosibirsk, 2019 http://math.nsc.ru/LBRT/v1/conf2019/abstracts/TitltesAndAbstracts.pdf
21.
V.A. Topchiĭ, “Elementy teorii sluchainykh grafov”, IX Mezhdunarodnaya molodezhnaya nauchno-prakticheskaya konferentsiya s elementami nauchnoi shkoly “Prikladnaya matematika i fundamentalnaya informatika”, Informatsionnyi byulleten Omskogo nauchno-obrazovatelnogo tsentra OmGTU i IM SO RAN v oblasti matematiki i informatiki, 3, no. 1, 2019, 51 http://konfpmfi.omgtu.ru/wp-content/uploads/Informatsionny_byulleten_NOC_OmGTU_i_IM_SO_RAN_2019_.pdf
22.
Topchii V.A., “Properties of multitype critical Bellman–Harris processes having life-length tails of different orders.”, Abstract WBPA18, IV Workshop on Branching Processes and their Applications (from 10th April to 13th April 2018), eds. - Gerold Alsmeyer, University of Münster, Germany - Miguel Gonz{ a}lez, University of Extrema, University of Extremadura in Spain, 2018, 57 http://branching.unex.es/wbpa18/index.htm
23.
Pichugin, B.J., Pertsev, N.V., Topchii, V.A., Loginov, K.K., “Stochastic modelling of age-structured population with time and size dependence of immigration rate”, Russian Journal of Numerical Analysis and Mathematical Modelling, 33:5 (2018) , 289-299 pp. https://www.degruyter.com/view/j/rnam.2018.33.issue-5/rnam-2018-0024/rnam-2018-0024.xml
Topchii V. A., “Otsenka veroyatnostei nalichiya chastits fiksirovannogo tipa v mnogomernykh protsessakh Bellmana-Kharrisa”, Matematika v sovremennom mire: mezhdunarodnaya konferentsiya, posvyaschennaya 60-letiyu Instituta matematiki im. S.L. Soboleva, tezisy dokladov (Novosibirsk, Rossiya, NGU, 14-19 avgusta 2017 goda), eds. G.V. Demidenko, IM SO RAN, Novosibirsk, 2017, s. 364 http://math.nsc.ru/conference/mmw/2017/Book_Abstract.pdf
25.
Valentin Topchii, “Moments for multitype critical Bellman-Harris processes with long-living particles”, 39th Conference on Stochastic Processes and their Applications 2017 (SPA2017) (Moscow, Russia, 24-28 July 2017), MIAN, Moskva, 2017, 116 http://spa2017.org/images/upload_slides/Book-of-abstracts.pdf
26.
Vatutin, V.A., Topchii, V.A., “Moments of multitype critical Bellman-Harris processes in which tails of life-length distributions of particles have different orders”, Siberian Electronic Mathematical Reports, 2017, no. 14, 1248-1264
27.
Topchii, V.A., “On Renewal Matrices Connected with Branching Processes with Tails of Distributions of Different Orders”, Siberian Advances in Mathematics, 20:2 (2017), 139-192
28.
Valentin Topchii, “Properties of reneval matrices based on distribution functions with regularly varying tails”, VIth Conference "Modern Problems in Theoretical and Applied Probability The Conference is dedicated to 85th anniversary of Alexander Borovkov (Russia, Novosibirsk, August 18-21, 2016), Institut matematiki im. S.L. Soboleva SO RAN, Novosibirsk, 2016, 55-56 http://math.nsc.ru/LBRT/v1/conf2016/program.pdf
29.
Valentin Topchii, Vladimir Vatutin, “Moments for multidimensional critical Bellman-Harris process where particles life-lengths have infinite mean and regularly varying tails of different order”, VIth Conference “Modern Problems in Theoretical and Applied Probability”, The Conference is dedicated to 85th anniversary of Alexander Borovkov (Russia, Novosibirsk, august 22-28, 2016), Institut matematiki im. S.L. Soboleva SO RAN, Novosibirsk, 2016, 59 http://math.nsc.ru/LBRT/v1/conf2016/program.pdf
30.
Topchiǐ, V.A., “Two-dimensional renewal theorems with weak moment conditions and critical Bellman - Harris branching processes”, Discrete Mathematics and Applications, 26:1 (2016), 51-69 https://www.degruyter.com/view/j/dma.2016.26.issue-1/dma-2016-0005/dma-2016-0005.xml
Valentin A. Topchiy, “Two-dimensional renewal theorems with weak moment conditions and critical Bellman – Harris branching processes”, Discrete Math. Appl., 26:1 (2016), 51–69
32.
Vatutin, Vladimir A., Iksanov, Alexander, Topchii, V., “A Two-Type Bellman–Harris Process Initiated by a Large Number of Particles”, Acta Applicandae Mathematicae, 138:1 (2015), 279-312 , arXiv: https://arxiv.org/abs/1311.1060
V.A. Topchii, V.A. Vatutin, A.M. Iksanov, “Evolution of a two-type Bellman-Harris process generated by a large number of particles”, Pliska studia mathematica. Pliska matematicheski studii, 24 (2015), 89-98
34.
Topchii V.A., “Two types critical Bellman-Harris processes with long-lived and short-lived particles. Renewal theorems and moments increments”, Book of Abstracts, III Workshop on Branching Processes and their Applications (April 7-10, 2015 Badajoz (Spain)), Department of Mathematics at University of Extremadura in Spain, Badajoz, 2015, 67 http://branching.unex.es/wbpa15/abstract/libro_abstract_web_wbpa_15.pdf
35.
V. A. Topchii, V. A. Vatutin, A. M. Iksanov, “Evolution of a two-type Bellman–Harris process generated by a large number of particles”, Pliska Stud. Math. Bulgar., 24 (2015), 89–98
36.
Topchii V.A., Vatutin V.A., Iksanov A.M., “Dynamic of Two-type Bellman–Harris Process Beginning from a Large Number of Particles”, XVI-th International Summer Conference on Probability and Statistics (ISCPS-2014), ABSTRACTS (Pomorie, Bulgaria, 21–28 June 2014,), 2014, p. 35
37.
V. A. Vatutin, V. A. Topchii, “A key renewal theorem for heavy tail distributions with $\beta\in(0,0.5]$”, Theory Probab. Appl., 58:2 (2014), 333–342
38.
V. A. Vatutin, V. A. Topchii, “Critical Bellman-Harris branching processes with long-living particles”, Proceedings of the Steklov Institute of Mathematics, 282:1 (2013) , 243-272 pp. http://link.springer.com/article/10.1134
39.
V. A. Topchii, “Issledovanie priraschenii i plotnostei funktsii vosstanovleniya dlya raspredelenii bez pervogo momenta”, Omskii filial Instituta matematiki im. S. L. Soboleva SO RAN, Seminar otdela diskretnoi matematiki MIAN (6 marta 2012 g. 16:00, g. Moskva, MIAN, komn. 511 (ul. Gubkina, 8)), MIAN, 2012 http://www.mathnet.ru/php/seminars.phtml?option_lang=rus&presentid=4472
40.
Valentin Alexeevich Topchii, “The renewal function increments for nonarithmetic distributions with regularly varying tails of order α from (0,1/2]”, 8 th World Congress in Probability and Statistics (Istanbul, July 9 to 14, 2012), Bernulli Society and Institute of Mathematical Statistics, 2012, 186
41.
Vatutin V.A., Topchii V.A., “Dvukhtipnye protsessy Bellmana-Kharrisa, startuyuschie s bolshogo chisla chastits”, Sektsiya “Predelnye teoremy”, Mezhdunarodnaya konferentsiya “Teoriya veroyatnostei i ee prilozheniya”, posvyaschennaya 100-letiyu so dnya rozhdeniya Borisa Vladimirovicha Gnedenko, Tezisy dokladov ((Moskva, 26-30 iyunya 2012)), eds. A. N. Shiryaev, A. V. Lebedev, LenAND, Moskva, 2012, 24-25 http://gnedenko100conference.org/?q=ru/node/51
42.
V. A. Topchii, “The asymptotic behaviour of derivatives of the renewal function for distributions with infinite first moment and regularly varying tails of index β ∊(1/2, 1]”, Discrete Mathematics and Applications, 22:3 (2012), 315-344 http://www.degruyter.com/view/j/dma.2012.22.issue-3/dma-2012-021/dma-2012-021.xml
43.
V. A. Topchiǐ, V. A. Vatutin, “Catalytic branching random walks in Zd with branching at the origin”, Siberian Advances in Mathematics, 23:2, http://www.mathnet.ru/personal/personpubs.phtml?option_lang=rus&wshow=personpubsedit# (2013), 123-153 http://link.springer.com/article/10.3103
44.
Topchij, V.A., “Properties of reneval function density for smooth absolitely continuous distributions”, V-tn conferense limit Theorems in Probability Theory and Their Applications, Abstracts (Russia, Novosibirsk, august 15-21, 2011), IM SB RAS, 2011, 46
45.
Hu, Y.; Topchii, V. A.; Vatutin, V. A., “Branching random walk in Z 4 with branching at the origin only”, Theory of Probability and Its Applications, 56:2 (2012), 10.1137/S0040585X97985352 , 19 pp.
46.
Yueyun Hu (LAGA), Vladimir Vatutin, Valentin Topchii, Branching random walk in $\mathbb Z^4$ with branching at the origin only, 2010 , arXiv: 1006.4769v1
47.
Topchii V.A., “DERIVATIVE OF RENEWAL DENSITY WITH INFINITE MOMENT WITH α ∈ (0, 1/2]”, SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 7 (2010), 340-349
48.
V. Topchii, “Renewal measure density for distributions with regularly varying tails of order $\alpha\in(0,1/2]$”, Workshop on Branching Processes and their Applications (Badajoz, Spain, 20 - 23 April), ISBN 978-3-642-11154-9, Lecture Notes in Statistics - Proceedings, 197, eds. Miguel Gonz{ a}lez Velasco,In{\e}s M. Puerto, Rodrigo Mart{\ i}nez, Manuel Molina, Manuel Mota,, Springer, Berlin, 2010, 109–118 http://www.springer.com/gp/book/9783642111549?wt_mc=GoogleBooks.GoogleBooks.3.EN&token=gbgen#
V. A. Topchii, “The time to extinction for Galton–Watson processes which censored at a high level”, Theory of Probability and its Applications, 54:2 (2010), 285–299
50.
Topchij, V.A., “Fixation time estimates in bounded populations”, Workshop on Branching Processes and their Applications (Badajoz (Spain), 2009, April 20-23), 2009, 54 http://branching.unex.es/wbpa09/Abstracts_WBPA/book_abstracts.pdf
51.
Topchii V. a., “Vremya vyrozhdeniya srezaemykh na urovne k nadkriticheskikh vetvyaschikhsya protsessov”, Matematika v sovremennom mire, tezisy dokladov Rossiiskoi konferentsii, posvyaschennoi 50-letiyu Instituta matematiki im. S. L. Soboleva SO RAN (Novosibirsk, 17-23 sentyabrya 2007 goda), tezisy dokladov, IM SO RAN, Novosibirsk, 2007, 212-213
52.
S. A. Klokov, V. A. Topchii, “Mean fixation time estimates in constant size populations”, Siberian Mathematical Journal, 47:6 (2006), 1042–1053
53.
Klokov, S.A.; Topchii, V.A., “On the time of supplanting all particles by particles of one type in a fixed size population [Translation of Mat. Tr..”, MR2267667, Siberian Adv. Math., 8, http://www.mathnet.ru/personal/personpubs.phtml?option_lang=rus&wshow=personpubsedit#:2 (2005), 168–183
54.
Topchii V.A., Vatutin V.A., “Individuals at the origin in the critical multidimensional catalytic branching random walk 31”, Abstracts of IV International Conference Limit theorems in probability theory and their applications, IM, Novosibirs, 2006, 31 p
55.
Klokov S. A., Topchii V. A., “Mean fixation time estimates in populations of constant time”, Limit theorems in probability theory and their applications, Abstracts of IV Internationals conference (Novosibirsk, 2006), IM SB RAS, 2006, 19
56.
S.A.Klokov, V.A.Topchii, “On the Time of Supplanting All Particles by Particles of One Type in a Fixed Size Population”, Siberian Advances in Mathematics, 16:2 (2006), 93-107
57.
A. P. Kovalevskii, V. A. Topchii, S. G. Foss, “On Stability of a Queueing System with Continuum Branching Fluid Limits”, Problems of Information Transmission, 41:3 (2005), 254–279
58.
Klokov S.A., Topchii V.A., “Otsenki srednikh vremen dostizheniya odnorodnosti v populyatsiyakh fiksirovannogo ob'ema”, Matematika, informatika, upravlenie: Plenarnye doklady IV Vserossiiskoi konferentsii (1-5 noyabrya 2005. Irkutsk), 2005. (to appear)
59.
V. A. Vatutin, V. A. Topchii, “Limit theorem for critical catalytic branching random walks”, Theory of Probability and its Applications, 49:3 (2005), 498–518
60.
Topchii V; Vatutin V, “Two-dimensional limit theorem for a critical catalytic branching random walk”, Mathematics and Computer Science III: Algorithms, Trees, Combinatorics and Probabilities (Vienna Univ Technol, Wien, AUSTRIA Date: SEP 13-17, 2004), Sponsor(s): Inst Discrete Math & Geometry; Fed Minist Educ, Sci, & Culture; City Vienna; Austrian Res Soc; Austrian Math Soc; Goedel Soc; Bank Austria Creditanstalt, Trends in Mathematics, eds. Editor(s): Drmota M; Flajolet P; Gardy D; et al., BIRKHAUSER VERLAG AG, VIADUKSTRASSE 40-44, PO BOX 133, CH-4010 BASEL, SWITZERLAND, 2004, 387-395
61.
Klokov S. A., Topchii V. A., “Simulation of a branching restricted population for a critical catalytic branching random walk”, Abstracts of communikations of the First Baikal Worshop on Evolution Biology (Irkutsk, 2004), 2004, 24-26
62.
Klokov s. A., Topchii V. A., “O vremeni vytesneniya odnim tipom chastits drugogo v populyatsii s ogranicheniem chislennosti”, Obozrenie prikladnoi i promyshlennoi matematiki, 11:3 (2004), 556-557
63.
Vatutin, V.A., Topchiǐ, V.A., Yarovaya, E.B., “Catalytic branching random walk and queueing systems with random number of independent servers”, Theory of Probability and Mathematical Statistics, 2004, no. 69, 1-15
Topchii V.A., Vatutin V.A., “Individuals at the origin in the critical catalytic branching random walk”, Discrete Mathematics and Theoretical Computer Science, 6:325 (2003), 325 https://www.researchgate.net/publication/221423028_Individuals_at_the_origin_in_the_critical_catalytic_branching_random_walk
65.
Vatutin, V.A.; Topchij, V.A.; Yarovaya, E.B., “Catalytic branching random walk and queuing systems with random number of independent servers”, Theory of Probability and Mathematical Statistics, 2003, no. 69, 158-172 , Zbl 1097.60068 https://www.ams.org/journals/tpms/2004-69-00/S0094-9000-05-00609-5/S0094-9000-05-00609-5.pdf
V. A. Vatutin, U. Rösler, V. A. Topchii, “The Rate of Convergence for Weighted Branching Processes”, Siberian Advances in Mathematics, 12:4 (2002), 57–82
67.
Zbl 1024.60035 Rösler, Uwe; Topchii, Valentin; Vatutin, Vladimir, “Convergence rate for stable weighted branching processes”, Zbl1024.60035, Mathematics and computer science II. Algorithms, trees, combinatorics and probabilities. Proceedings of the 2nd colloquium, Chauvin, Brigitte (ed.) et al., (Versailles-St.-Quentin, France, September 16-19, 2002), Trends in Mathematics., eds. Chauvin, Brigitte (ed.) et al., Basel Birkhäuser, 2002, 441-453 http://link.springer.com/chapter/10.1007
68.
Topchii V.A., Dvorkin P.L., Bondarenko K.V., “Internet-sait "Elektronnyi uchebnik po teorii veroyatnostei”, Otkrytoe i distantsionnoe obrazovanie, 4 (2002), 93-95
69.
Vatutin V. A., Topchii V. A., Yarovaya E., “Catalytic branching random walk and gueuing systems with random number of independent servers”, Abstracts of International Gnedenko conference, june 3-7, 2002 (Ukraine, Kyiv, june 3-7, 2002), Kiev, 2002, 62
70.
E. M. Bondarenko, V. A. Topchii, “Estimates for the expectation of the maximum of a critical Galton–Watson process on a finite interval”, Siberian Math. J., 42:2 (2001), 209–216
71.
Vershinin V.I., Topchij V.A., Medvedovskaya I.I., “Coincidence Tests in Qualitative Chrommatographic Analysis: Taking into Account the Repraducibility of Retention Characteristics”, Journal of Analytical Chemistry, 56 (2001), 324-329
72.
Goltyapin V.V., Topchii V.A., Yakovlev V.M., “Faktornaya model v differentsialnoi diagnostike mitralnogo stenoza”, Meditsinskaya fizika, 2 (2001) , 1 pp.
73.
U. Rösler, V. A. Topchii, V. A. Vatutin, “Convergence conditions for weighted branching processes”, Discrete Math. Appl., 10:1 (2000), 5–21
74.
Goltyapin V. V., Lilo A. G., Morozova N. A., Semikolenov N. A., Topchii V. A., “Faktornyi analiz pri opredelenii gruppy riska v kardiokhirurgii”, Izmerenie, kontrol, informatizatsiya, materialy Mezhdunarodnoi nauchno-tekhnicheskoi konferentsii (Barnaul, 2000), Barnaul, Altaiskii gosudarstvennyi tekhnicheskii universitet im. I.I. Polzunova, 2000, 127-130
75.
Roesler U., Vatutin V. A., Topchii V. A., “Convergense conditions for Weighted Branching Processes”, Workshop Modern Problems in Applied Probability (Novosibirsk, 2000, 20-27 aug), Sponsored by: INTAS Sobolev Institute of Mathematics Liapunov French-Russian Institute of Computer Science and Applied Mathematics Russian Foundation for Basic Research Russian Ministry of Industry, Science, and Technology, Institute of Mathematics,, Novosibirsk, 2000, 16 http://math.nsc.ru/LBRT/v1/workshop2000/abstracts/roessler/roessler.html
76.
V. A. Vatutin, V. A. Topchii, “Maximum of the critical Galton–Watson processes and left-continuous random walks”, Theory of Probability and Its Applications, 42:1 (1997), 17–27 http://db.lib.tsinghua.edu.cn/OpenPDF-SIAM/DATA/97590.pdf
77.
Topchij, V.A., “Left-continuous random walk, general branching processes and maximum in the critical Galton-Watson processes”, Grapf - Image - Vision, Proceedings of the 28 th Symp. on the Interface (Sydney, Australia, July, 8-12, 1996), Computer Science and Statictics, eds. Lynne Billard; Nich I. Fisherolas, Interface Foundation of North America, Sydney, 1997, 521-525
78.
B. A. Rogozin, A. G. Grin, S. A. Klokov, V. A. Topchii, “Issledovanie asimptoticheskikh svoistv nekotorykh klassov sluchainykh protsessov”, Informatsionnyi byulleten RFFI, 4:1 (1996), 32
79.
Topchii V.A., Bondarenko K.V., Dvorkin P.L., “Kontseptsiya graficheskoi podderzhki obuchayuschei sistemy po teorii veroyatnostei v srede WINDOWS”, Tr. Mezhdun. seminara “Iskustvennyi intellekt v obrazovanii”, Pod red. V.G. Ivanova, I.Kh. Galeev. Ch.1. (Topchii V.A., Bondarenko K.V., Dvorkin P.L. Kontseptsiya graficheskoi podderzhki obuchayuschei sistemy po teorii veroyatnostei v srede WINDOWS // Tr. Mezhdun. seminara), KazGU, Kazan, 1996, 48-49
80.
Topchii V.A., “Obschie vetvyaschiesya protsessy i sistemy massovogo obsluzhivaniya tipa nakopleniya zapasov”, Aktualnye problemy sovremennoi matematiki, ISBN 5-88119-066-1, Novosib. gos. un-t, NII mat.-inform. osnov obucheniya, 2, eds. Otv. red. V. P. Chuvakov, Novosibirskii gosudarstvennyi universitet, Novosibirsk, 1996, 146-154
81.
Topchij, V.A., “Grump-Mode-Jagers branching processes and gueueing systems”, Sydney International Statistical Congress, Final Programm (Sydney, 1996), Sydney, 1996, 179-180
82.
Topchij, V.A., “Left-continuous random walk, general branching processes and maximum in the critical Galton-Watson processes”, 4-th World Congress of the Bernoulli Society, abstr (Austria, Vienna, Österreich, August 26–31 1996), Institute for Statistics and Mathematics, UniversitŠt Wien, Vienna, 1996, 456
83.
P. L. Dvorkin, V. A. Topchii, “Obuchayuschaya sistema po teorii veroyatnostei v srede Windows”, Informatsionnye tekhnologii i radioseti–96, materialy Pervoi Mezhdunar. nauch.-prakt. konf. (Rossiya, Omsk, 6–8 fevr. 1996 g.), eds. Shaptsev V.A., OmGU, 1996, 78-79
84.
P. L. Dvorkin, V. A. Topchii, “Obuchayuschaya sistema po teorii veroyatnostei v srede Windows”, Informatsionnye tekhnologii i radioseti–96, materialy Pervoi Mezhdunar. nauch.-prakt. konf. (Rossiya, Omsk, 6–8 fevr. 1996 g.), eds. Shaptsev V.A., OmGU, 1996, 78-79
85.
V. A. Topchij, “Critical general branching processes with long-living particles”, Branching processes (Varna, 1993), Lecture Notes in Statist., 99, Springer, New York, 1995, 28–35
Topchii, V. A., P. L. Dvorkin, “Elektronnyi uchebnik po teorii veroyatnostei v srede Windows”, Novye informatsionnye tekhnologii v universitetskom obrazovanii, materialy Mezhdunar. nauch.-metod. konf. (Novosibirsk, 14–17 marta 1995 g.), Novosibirskii gosudarstvennyi universitet, Nauchno-issledovatelskii insti-tut matematiko-informatsionnykh osnov obucheniya, Novosibirsk, 1995, 129–131
V. M. Lebedev, V. I. Razumov, V. A. Topchii, “Metodologiya razrabotki i vozmozhnosti elektronnykh obuchayuschikh sistem v obrazovanii”, Innovatsionnye protsessy v prepodavanii otdelnykh predmetov (Novokuznetsk, 18 yanvarya 1994 g.), sb. tez. dokl. i vystuplenii na nauch.-tekhn. konf. «Innovatsionnye protsessy v obrazovanii: opyt, problemy, resheniya», eds. G. A. Verzhitskii, Novokuznetskii gosudarstvennyi institut usovershenstvovaniya uchitelei, Novokuznetsk, 1994, 64-67
90.
Plankova V. A., Topchii V. A., “Dialogovye obuchayuschie sistemy po kombinatorike i teorii veroyatnostei dlya shkolnikov”, Sovremennye problemy metodiki prepodavaniya matematiki i informatiki, materialy I Sibirskikh metodicheskikh chtenii (Omsk, 2 noyab. 1995 g.), Izdatelstvo OmGU, 1994, 52-59
91.
TOPCHII, VA, “Critical general branching processes with long-living particles”, First World Conference on Branching Processes, Branching processes (Bulgaria, Varna, September 5–12, 1993), Lect. Notes Stat., Springer, New York, 1993, 28–35
92.
A. L. Agafonov, S. M. Dobrovolskii, V. M. Lebedev, V. A.Topchii, “Metodologiya razrabotki obuchayuschikh sistem i ikh instrumentalnykh sredstv”, Mikrosistema-92 (Tomsk, sentyabr 1992.), Rossiiskoe obschestvo informatiki i vychislitelnoi tekhniki, Moskovskii institut elektronnogo mashinostroeniya, Tomskii gosudarstvennyi universitet, Mezhdunarodnyi tsentr nauchnoi kultury «Vsemir. lab.» (Pribaltiiskii i Tomskii predstavitelstva), eds. A. M. Gortsev, Izd-vo Tomskogo gosudarstvennogo universiteta, Tomsk, 1992, 3-4
93.
VI USSR-Japan symposium on probability theory and mathematical statistics, IM, Kiev, 1991
94.
V. A. Topchii, “Joint distributions for critical general branching processes with long-living particles of a certain type”, Siberian Math. J., 32:4 (1991), 665–674
95.
Topchii V.A., “Asimptotika veroyatnostei uklonenii obschei chislennosti chastits v obschikh kriticheskikh vetvyaschikhsya protsessakh”, Stokhasticheskie modeli slozhnykh sistem, sbornik nauchnykh trudov, eds. V. A. Topchii, Vychislitelnyi tsentr SO RAN, Novosibirsk, 1990, 88-94
96.
Topchii V.A., Predelnye teoremy dlya kriticheskikh obschikh vetvyaschikhsya protsessov, avtoreferat dissertatsii na soiskanie uchenoi stepeni doktora fiziko-matematicheskikh nauk, LOMI, Leningrad, 1989 , 25 pp. http://elibrary.ru/item.asp?id=15676000
97.
Vershinin V.I., Topchii V.A., “Number of spectral coincidences as a criterion for identification of components from the line spectrum of a test sample - refined calculation of the criterial parameters”, Journal of Analytic Chemistry of the USSR, 44:2 (1989), 885-893 (http://www.mathnet.ru/personal/personpubs.phtml?option_lang=rus&wshow=personpubsedit#)
98.
Topchii V.A., “Svoistva kriticheskikh obschikh protsessov s dolgozhivuschimi chastitsami”, Pyataya Mezhdunarodnaya Vilnyusskaya konferentsiya po teorii veroyatnostei i matematicheskoi statistike, tezisy dokladov (Vilnyus, 1989), 4, 1989, 283-284
99.
V. A. Topchiǐ, “Moderate Deviations for Total Number of Particles in Critical Branching Processes”, Theory Probab. Appl., 33:2 (1988), 382–385
100.
Topchij, V.A., Stochastic and deterministic models of complex systems. Collection of scientific works, Zbl 0713.00015 Sbornik nauchnykh trudov, Stokhasticheskie i determinirovannye modeli slozhnykh sistem, Novosibirsk:Vychislitel'nyj Tsentr SO AN SSSR, Novosibirsk, 1988 , 39 pp.
101.
Topchij, V.A., “Properties of the total number of particles on degenerate trajectories of branching processes”, Siberian Mathematical Journal, 29:6 (1988), 980-986
102.
Topchii V.A., “Predelnye teoremy dlya kriticheskikh obschikh protsessov s dolgozhivuschimi chastitsami”, Stokhasticheskie i determinirovannye modeli slozhnykh sistem, Akademiya nauk SSSR. Sibirskoe otdelenie. Vychislitelnyi tsentr, eds. V.A. Topchii, VTs SO AN, Novosibirsk, 1988, 114-153
103.
V. A. Topchiǐ, “Limit theorems for a critical branching Crump-Mode-Jagers processing”, Proceedings of the 1st World Congress of the Bernoulli Society (Tashkent, 1986), v. 2, VNU Sci. Press, Utrecht, 1987, 717–720
104.
Topchii V.A., “The probability of continuation of critical branching-processes”, Theory of Probability and Its Applications, 31:1, http://www.mathnet.ru/personal/personpubs.phtml?option_lang=rus&wshow=personpubsedit# (1987), 163-164
105.
V. I. Vershinin, V. A. Topchii, S. E. Naumov,, “Number of Spectral Coincidences as a Criterion for Identifying Components from Line Spectra”, Journal of Analytical Chemistry of the USSR, 42:5 (1987), 658–665
106.
V. A. Topchii, “Properties of the probability of nonextinction of general critical branching processes under weak restrictions”, Siberian Math. J., 28:5 (1987), 832–845
107.
Topchii V.A., “Obobschenie rezultatov o veroyatnosti prodolzheniya obschikh kriticheskikh vetvyaschikhsya protsessov”, Stokhasticheskie modeli i informatsionnye sistemy, eds. V. A. Topchii, Vychislitelnyi tsentr SO RAN, Novosibirsk, 1987, 143-178
108.
Topchij, V.A., “Asymptotics of the probability of continuation for critical general branching processes with no second moment for the number of descendants. (English) Advances in probability theory: Limit theorems for sums of random variables,”, Transl. Ser. Math. Eng., 1986, 269-296 , MSC2000: *60J80
109.
V. I. Vershinin, V. A. Topchii, “Povyshenie nadezhnosti mashinnoi identifikatsii soedinenii v IPS putem otseivaniya sluchainykh spektralnykh sovpadenii”, Ispolzovanie vychislitelnykh mashin v khimicheskikh issledovaniyakh i spektroskopii molekul, tez. dokl. (SSSR, Riga, 21–23 okt. 1986 g.), Akademiya nauk SSSR. Sibirskoe otdelenie, Novosibirskii institut organicheskoi khimii, Akademiya nauk Latviiskoi SSR. Nauchno-informatsionnyi tsentr po molekulyarnoi spektroskopii, Institut organicheskogo sinteza, Riga, 1986, 154–156
Topchii V.A., “Usloviya spravedlivosti teoremy Kholte. O veroyatnosti prodolzheniya obschikh vetvyaschikhsya protsessov Saratovskii gosuniversitet,”, Markovskie sluchainye protsessy i ikh primenenie v teorii massovogo obsluzhivaniya, sb. st., eds. I. D. Cherkasov, Saratovskii gosuniversitet, Saratov, 1985, 22-24
112.
Topchii V.A., “Veroyatnost prodolzheniya obschikh kriticheskikh vetvyaschikhsya protsessov bez momentnykh ogranichenii”, Chetvertaya Mezhdunarodnaya Vilnyusskaya konferentsiya po teorii veroyatnostei i matematicheskoi statistike, tez. dokl. (SSSR, Vilnyus, 24–29 iyunya 1985 g.), t. 3, Institut matematiki i kibernetiki Akademii nauk Litovskoi SSR, 1985, 198-200
113.
Topchii V.A., A.P.Alenin., “O vozmozhnosti trassologicheskogo raspoznavaniya nekotorykh klassov shveinykh mashin matematicheskimi metodami Problemy matematicheskogo i informatsionnogo obespecheniya ekspertnykh issledovanii v tselyakh resheniya zadach sudebnoi ekspertizy”, Problemy matematicheskogo i informatsionnogo obespecheniya ekspertnykh issledovanii v tselyakh resheniya zadach sudebnoi ekspertizy (Moskva, noyabr 1983 g.), eds. redkol.: V. F. Orlova, VNIISE, Moskva, 1984, 100-102.
114.
V. A. Topchii, “Asymptotic behavior of the probability of nonextinction of critical general branching processes without a second moment in the number of descendants”, Trudy Inst. Mat. Sib. Otd. AN SSSR, 3 (1984), 181–197
115.
Topchii V.A., “On degeneration of Critical-Ganeral Branching-Processes”, Theory of Probability and Its Applications, 28:3 (1984) , 2 pp.
116.
V. A. Topchii, “Asymptotics of the extinction probability for critical-general branching-processes”, Theory Probab. Appl., 27:4 (1983), 715–733
117.
Topchij, V.A., “Local limit theorem for critical Bellman-Harris processes with discrete time”, Zbl 0507.60079, Tr. Inst. Mat., 1 (1982), 97-122 , MSC2000: *60J80
118.
Topchii V.A., “Predelnye teoremy dlya kriticheskikh vetvyaschikhsya protsessov”, Teoriya veroyatnostei i ee primenenie, 27:1 (1982) , 205-206 pp.
119.
Topchii V.A., “A local theorem for Bellman – Harris critical processes with discrete time”, Advances in probability theory: Limit theorems and related problems, 1, 1982, 97–122
120.
V. A. Topchii, “A local limit theorem for critical Bellman–Harris processes with discrete time”, Trudy Inst. Mat. Sib. Otd. AN SSSR, 1 (1982), 97–122
121.
V. A. Topchii, “On the asymptotics of the probability of the continuation of critical general branching processes”, MR0572122 (82d:60167), Doklady Akademii Nauk SSSR, 25:1 (1980), 55–57 , (Reviewer: Harry I. Cohn), 60J80 (1981)
122.
Topchii V.A., “Inversion of the theorem on the asymptotic behavior of the probability o| continuation of the Crump-Mode-Jager critical processes”, Theory of Probability and Its Applications, 25:1 (1980), 208-209
123.
Topchii V.A., Predelnye teoremy dlya kriticheskikh vetvyaschikhsya protsessov, dissertatsiya k. f.-m. n. Leningradskoe otdelenie Matematicheskogo instituta im. Steklova RAN. Nauchnyi rukovoditel - prof. S.V. Nachaev. Spetsialnost 01.01.05 Teoriya veroyatnostei i matematicheskaya statistika, AN SSSR. Sibirskoe otdelenie. Institut matematiki, Novosibirsk, 1979 , 104 pp.
124.
Uchaikin V.V., Topchii V.A., “Stable law with index α=1 in the problem of fluctuations of ionization losses of charged particles”, Russian Physics Journal, 21:4 (1978), 459-462
Topchii V.A., Integralnaya predelnaya teorema dlya kriticheskikh vetvyaschikhsya protsessov Krampa – Moda – Yagersa s diskretnym vremenem, preprint, Institut matematiki SO AN SSSR, Novosibirsk, 1977 , 12 pp.
129.
Topchii V.A., Integralnaya predelnaya teorema dlya kriticheskikh vetvyaschikhsya protsessov Krampa – Moda – Yagersa s diskretnym vremenem, IM SO RAN, Novosibirsk, 1977 , 12 pp.
130.
Topchii V.A., “Asimptotika veroyatnosti prodolzheniya kriticheskogo neodnorodnogo vetvyaschegosya protsessa”, III Sovetsko-yaponskii simpozium po teorii veroyat-nostei, tezisy dokladov (SSSR, Tashkent, 26 avg. – 3 sent. 1975 g.), Matematicheskii institut im. V. A. Steklova AN SSSR, Institut matematiki im. V. I. Romanovskogo AN UzSSR., FAN, Tashkent, 1975, 30
131.
Topchii V.A., “Asimptotika veroyatnosti prodolzheniya i lokalnaya teorema dlya kriticheskikh zavisyaschikh ot vozrasta vetvyaschikhsya protsessov”, Mezhdunarodnaya konferentsiya po teorii veroyatnostei i matematicheskoi statistike, Tez. dokl. T. 2. (Vilnyus, 25-30 iyunya 1973 goda), eds. Gyachyauskas E., Vilnyusskii gosudarstvennyi universitet, Vilnyus, 1973, 281-282
132.
Topchii Valentin Alekseevich, biobibliograficheskii ukazatel / sost.: R.Kh. Bagautdinova; otv. red. V. A. Topchii, 2022
133.
Khruschev S.A., Topchii V.A., Primenenie massivno-parallelnykh sistem v chislennom integrirovanii bystro menyayuschikhsya funktsii. Novosibirsk (Akademgorodok), 24-25 aprelya 2014 g., 6-oi Sibirskii forum industrii informatsionnykh sistem - SIIS 2014, Novosibirsk (Akademgorodok), 24-25 aprelya 2014 g. Sektsionnyi doklad, 2014 (to appear)
134.
V. A. Topchii, Usloviya regulyarnosti priraschenii i plotnostei funktsii vosstanovleniya dlya raspredelenii bez pervogo momenta, Bolshoi seminar kafedry teorii veroyatnostei MGU, 2012 http://www.mathnet.ru/php/seminars.phtml?option_lang=rus&presentid=4469
135.
V. A. Topchii, Srednee vremya zhizni protsessov Galtona–Vatsona, ogranichennykh fiksirovannym urovnem, Seminar otdela diskretnoi matematiki MIAN 13 noyabrya 2007 g. 16:00, g. Moskva, MIAN, komn. 511 (ul. Gubkina, 8), 2012 http://www.mathnet.ru/php/seminars.phtml?option_lang=rus&presentid=1071
136.
V. A. Topchii, Issledovanie priraschenii i plotnostei funktsii vosstanovleniya dlya raspredelenii bez pervogo momenta, Seminar otdela diskretnoi matematiki MIAN 6 marta 2012 g. 16:00, g. Moskva, MIAN, komn. 511 (ul. Gubkina, 8), 2012 http://www.mathnet.ru/php/seminars.phtml?option_lang=rus&presentid=4472
137.
V. A. Topchii, “Review on the book: H. Chen, D. D. Yao. "Fundamentals of Queueing Networks”, Theory of Probability and Its Applications, 48:3 (2004), 569–570
138.
Topchii V.A., Vysshaya matematika (Razd. Teoriya veroyatnostei), Ucheb posobie, OmTI, Omsk, 1996 , 87 pp.
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