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Topchii, Valentin Alekseevich

Total publications: 117 (110)
in MathSciNet: 47 (47)
in zbMATH: 36 (35)
in Web of Science: 22 (22)
in Scopus: 30 (29)
Cited articles: 40
Citations in Math-Net.Ru: 105
Citations in Web of Science: 68
Citations in Scopus: 82
Presentations: 3

Number of views:
This page:3446
Abstract pages:5351
Full texts:1469
References:690
Topchii, Valentin Alekseevich
Professor
Doctor of physico-mathematical sciences (1990)
Speciality: 01.01.05 (Probability theory and mathematical statistics)
Phone: +7 (3812) 23 65 67
Fax: +7 (3812) 23 45 84
E-mail: ,
Website: http://ofim.oscsbras.ru/?ref=staff&id=topchij
Keywords: 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.
UDC: 519.2, 519.21, 621.391.1, 621.394.74, 519.218
MSC: 60, 62, 68

Subject:

Theory of Probability and its Applications.

Biography

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:
  1. 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

http://www.mathnet.ru/eng/person28039
List of publications on Google Scholar
http://zbmath.org/authors/?q=ai:au:"topci, v* a*" | au:"topchi, v* a*" | au:"topchii, v* a*" | au:"topchij, v* a*"
https://mathscinet.ams.org/mathscinet/MRAuthorID/211404
http://elibrary.ru/author_items.asp?spin=3136-3967
http://orcid.org/0000-0003-4310-5665
http://www.researcherid.com/rid/E-9553-2013
http://www.scopus.com/authid/detail.url?authorId=55756650200

Full list of publications:
| scientific publications | by years | by types | by times cited in WoS | by times cited in Scopus | common list |


1. V. A. Topchii, V. A. Vatutin, E. E. D'yakonova, “Critical Galton-Watson branching processes with countably infinitely many types and infinite second moments”, Mat. Sb. (to appear)  mathnet

   2020
2. 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  mathnet  crossref  crossref  scopus

   2019
3. Loginov Konstantin Konstantinovich, Pertsev Nikolai Viktorovich, Topchii Valentin Alekseevich, “Stokhasticheskoe modelirovanie kompartmentnykh sistem s trubkami”, Matematicheskaya biologiya i bioinformatika, 14:1 (2019), 188-203  crossref  mathscinet
4. 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 (to appear) http://math.nsc.ru/LBRT/v1/conf2019/abstracts/TitltesAndAbstracts.pdf
5. 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  elib

   2018
6. 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
7. 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  crossref  mathscinet  zmath  isi  scopus

   2017
8. 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
9. 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  zmath
10. 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  mathnet  crossref  mathscinet  zmath  isi  scopus
11. 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  mathnet  crossref  crossref  mathscinet  zmath  elib  elib  scopus

   2016
12. 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
13. 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”, 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
14. 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 (to appear) https://www.degruyter.com/view/j/dma.2016.26.issue-1/dma-2016-0005/dma-2016-0005.xml  mathnet (cited: 2)  crossref  mathscinet  zmath  isi (cited: 1)  scopus (cited: 1)
15. 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  mathnet  crossref  crossref  mathscinet  isi (cited: 1)  elib  scopus (cited: 1)

   2015
16. 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  mathnet  crossref  mathscinet  zmath  zmath  isi (cited: 1)  elib  scopus (cited: 2)
17. 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  mathscinet  zmath
18. 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
19. 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  mathnet

   2014
20. 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  mathscinet
21. 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  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 6)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 5)

   2013
22. 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), 10.1137/S0040585X97986564 , 243-272 pp. http://link.springer.com/article/10.1134  mathnet  mathnet  crossref  crossref  crossref  mathscinet  isi (cited: 4)  elib  elib  scopus (cited: 4)

   2012
23. 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
24. 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 http://www.worldcong2012.org/?p=csessions
25. 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
26. 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  mathnet  mathnet  crossref  crossref  mathscinet  zmath  elib  scopus (cited: 2)

   2013
27. 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  mathnet  crossref  mathscinet  elib  scopus (cited: 5)

   2011
28. 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

   2012
29. 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.  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 2)  elib  elib  scopus (cited: 4)

   2010
30. Yueyun Hu (LAGA), Vladimir Vatutin, Valentin Topchii, Branching random walk in $\mathbb Z^4$ with branching at the origin only, 2010 , arXiv: 1006.4769v1  mathscinet  zmath
31. V. A. Topchii, “Derivative of renewal density with infinite moment with $\alpha\in(0,1/2]$”, Siberian Electronic Mathematical Reports, 7 (2010), 340–349 http://semr.math.nsc.ru/v7/p340-349.pdf  mathnet  mathscinet  elib
32. V. Topchii, “Renewal measure density for distributions with regularly varying tails of order $\alpha\in(0,1/2]$”, González Velasco, M.; Puerto, I.M.; Martínez, R.; Molina, M.; Mota, M.; Ramos, A. (Eds.),, 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 González Velasco,Inés M. Puerto, Rodrigo Martínez, Manuel Molina, Manuel Mota,, Springer, Berlin, 2010, 109–118 http://www.springer.com/gp/book/9783642111549?wt_mc=GoogleBooks.GoogleBooks.3.EN&token=gbgen#  crossref  mathscinet
33. 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  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus

   2009
34. 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

   2007
35. 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

   2006
36. S. A. Klokov, V. A. Topchii, “Mean fixation time estimates in constant size populations”, Siberian Mathematical Journal, 47:6 (2006), 1042–1053  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus

   2005
37. 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  mathnet  mathscinet  mathscinet  zmath

   2006
38. 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  mathscinet
39. 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  mathscinet
40. 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  mathnet  mathscinet  elib

   2005
41. 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  mathnet  crossref  mathscinet  zmath  elib (cited: 2)  elib (cited: 2)  scopus (cited: 4)
42. Vatutin, V.A., Topchii, V.A., “Limit theorem for critical catalytic branching random walks”, Theory of Probability and its Applications, 49:3 (2005), 498-518  crossref  mathscinet  zmath  scopus (cited: 7)
43. 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  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 12)  elib (cited: 2)  scopus (cited: 7)

   2004
44. 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  mathscinet  zmath  isi (cited: 6)
45. 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
46. 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  mathscinet
47. 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  crossref  mathscinet  scopus (cited: 32)

   2003
48. V. Topchii, V. Vatutin, “Individuals at the origin in the critical catalytic branching random walk”, Discrete random walks, Discrete Mathematics & Theoretical Computer Science, Discrete Math. Theor. Comput. Sci. Proc., 6, Assoc. Discrete Math. Theor. Comput. Sci., Nancy, 2003, 325–332  mathscinet
49. 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  mathscinet
50. 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  mathscinet

   2002
51. 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  mathnet  mathscinet  zmath  elib
52. 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  mathscinet
53. Topchii V.A., Dvorkin P.L., Bondarenko K.V., “Internet-sait "Elektronnyi uchebnik po teorii veroyatnostei”, Otkrytoe i distantsionnoe obrazovanie, 4 (2002), 93-95
54. 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  mathscinet
55. Topchii, A.V., “Multidimensional non-parametric methods for the two-sample shift problem”, Russian Mathematical Surveys, 57:3 (2002), 611–612 (to appear) http://iopscience.iop.org/article/10.1070/RM2002v057n03ABEH000525  mathnet  crossref  mathscinet  zmath  scopus

   2001
56. 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  mathnet  crossref  mathscinet  zmath  isi (cited: 2)  elib (cited: 3)  scopus (cited: 2)
57. 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  crossref  mathscinet  isi (cited: 4)  elib (cited: 2)  scopus
58. Goltyapin V.V., Topchii V.A., Yakovlev V.M., “Faktornaya model v differentsialnoi diagnostike mitralnogo stenoza”, Meditsinskaya fizika, 2 (2001) , 1 pp.
59. Vershinin, V.I., Topchij, V.A., Medvedovskaya, I.I., “Peak coincidence tests in qualitative chromatographic analysis: Taking into account the reproducibility of retention characteristics”, Journal of Analytical Chemistry, 56:4 (2001), 324-329  crossref  mathscinet  scopus

   2000
60. U. Rösler, V. A. Topchii, V. A. Vatutin, “Convergence conditions for weighted branching processes”, Discrete Math. Appl., 10:1 (2000), 5–21  mathnet  crossref  mathscinet  zmath  elib (cited: 3)  scopus
61. 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
62. 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

   1997
63. V. A. Vatutin, V. A. Topchii, “Maximum of the critical Galton–Watson processes and left-continuous random walks”, Theory of Probability and Its Applications (TVP), 42:1 (1997), 17–27 http://db.lib.tsinghua.edu.cn/OpenPDF-SIAM/DATA/97590.pdf  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 9)  elib  scopus
64. Topchij, V.A., “Left-continuous random walk, general branching processes and maximum in the critical Galton-Watson processes”, Computing Science and Statistictis, Proceedings of the 28 th Symp. on the interface (Sydney, Australia, 1997), Sydney, 1997, 521-525  mathscinet

   1996
65. 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  elib
66. 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
67. 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, Novosibirsk, 1996, 146-154
68. Topchij, V.A., “Grump-Mode-Jagers branching processes and gueueing systems”, Sydney International Statistical Congress, Final Programm (Sydney, 1996), Sydney, 1996, 179-180
69. 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 (Viena, 1996), Vienna, 1996, 456

   1995
70. 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  crossref  mathscinet  zmath

   1994
71. Topchii V.A., “Elektronnye dialogovye obuchayuschie sistemy dlya pervichnogo znakomstva s kombinatorikoi i teoriei veroyatnostei”, Sb.tr, Mnogourovnevoe vysshee obrazovanie, OmPI, Omsk, 1994, 1?
72. V. M. Lebedev, V. I. Razumov, V. A. Topchii, “Metodologiya razrabotki i vozmozhnosti elektronnykh obuchayuschikh sistem v obrazovanii”, NPI-94 (Novokuznetsk, 1994), 1994
73. Plankova V. A. , Topchii V. A., “Dialogovye obuchayuschie sistemy po kombinatorike i teorii veroyatnostei dlya shkolnikov”, Doklady Pervykh Sibirskikh metodologicheskikh chtenii (Omsk, 1994), Izdatelstvo OmGU, 1994, 52-59

   1993
74. TOPCHII, VA, “Critical general branching processes with long-living particles”, First World Conference on Branching Processes, Branching processes (Varna, 1993), Lect. Notes Stat., Springer, New York, 1993, 28–35  mathscinet

   1992
75. A. L. Agafonov, S. M. Dobrovolskii, V. M. Lebedev, V. A.Topchii, “metodologiya razrabotki obuchayuschikh sistem i ikh instrumentalnykh sredstv”, Mikrosistema-92 (Tomsk, 1992), Izd-vo Tomskogo gosudarstvennogo universiteta, Tomsk, 1992, 3-4

   1994
76. TOPCHII, VA, “Joint distributions for critical general branching processes with one type of long-lived particles”, Siberian Mathematical Journal, 32:4 (1994), A1991HU45000013 , 10 pp.  crossref  mathscinet  isi  scopus

   1991
77. Topchii V.A., “Sovmestnye raspredeleniya dlya kriticheskikh obschikh vetvyaschikhsya protsessov”, VI sovetsko-yaponskii simpozium po teorii veroyatnostei i matematicheskoi statistike, tezisy dokladov (Kiev, 1991), IM AN USSSR, Kiev, 1991, 141

   1990
78. Topchii V.A., “Asimptotika veroyatnostei uklonenii obschei chislennosti chastits v obschikh kriticheskikh vetvyaschikhsya protsessakh”, Stokhasticheskie modeli slozhnykh sistem, sbornik nauchnykh trudov, eds. V. A. Topchiya, VTs SO RAN, Novosibirsk, 1990, 88-94

   1989
79. 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  elib
80. VERSHININ, VI; TOPCHII, VA, “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 ANALYTICAL CHEMISTRY OF THE USSR, 44:2 (1989), 885-893 (http://www.mathnet.ru/personal/personpubs.phtml?option_lang=rus&wshow=personpubsedit#)
81. 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

   1988
82. V. A. Topchiǐ, “Moderate Deviations for Total Number of Particles in Critical Branching Processes”, Theory Probab. Appl., 33:2 (1988), 382–385  mathnet  crossref  mathscinet  zmath  isi  scopus
83. 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.  mathscinet
84. Topchiǐ, V. A., “Properties of the total number of particles on degenerate trajectories of branching processes. (Russian) (1989) (Reviewer: I. Rakhimov), 60J80”, MR0985294 (90g:60078), Siberian Mathematical Journal, 29, http://www.mathnet.ru/personal/personpubs.phtml?option_lang=rus&wshow=personpubsedit#:6 (1988), 980–986 , (Reviewer: I. Rakhimov), 60J80  crossref  mathscinet  zmath  scopus (cited: 2)
85. Topchij, V.A., “Properties of the total number of particles on degenerate trajectories of branching processes”, SIBERIAN MATHEMATICAL JOURNAL, 29:6 (1988), 980-986  crossref  mathscinet  zmath  scopus (cited: 2)

   1987
86. 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  mathscinet  zmath
87. TOPCHII VA, “The probability of continuation of critical branching-processes”, theory of probability and its applications”, THEORY OF PROBABILITY AND ITS APPLICATIONS, 31:1, http://www.mathnet.ru/personal/personpubs.phtml?option_lang=rus&wshow=personpubsedit# (1987), 163-164  mathscinet  isi
88. 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 , PLENUM PUBL CORP, CONSULTANTS BUREAU 233 SPRING ST, NEW YORK, NY 10013  mathscinet  isi
89. TOPCHII VA, “Properties of the nonextinction probability of general critical branching processes under weak constrainis”, SIBERIAN MATHEMATICAL JOURNAL, 28:5 (1987), 10.1007/BF00969331 , 832-845 pp.  crossref  mathscinet  scopus (cited: 1)

   1986
90. 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  mathscinet  zmath

   1985
91. Topchii V.A., Alenin A.P., Kolobanova T.S., “Kriminalisticheskoe issledovanie izdelii, izgotovlennykh pri pomoschi shveinykh mashin nekotorykh klassov statisticheskimi metodami”, Ekspertnaya praktika i novye metody issledovaniya ekspress-informatsii:, 6, VNIISZ, ­Moskva, 1985, 1-25
92. 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, Saratovskii gosuniversitet, Saratov, 1985, 22-24

   1984
93. Topchij, V.A., “Asymptotics of the survival probability of critical general branching processes without second moment of quantity of offspring. (Russian) Predel'nye Teoremy dlya Summ Sluchajnykh Velichin, Tr. Inst. Mat. 3, 181-197 (1984). MSC2000: *60J80, Reviewer: E.Seneta”, Tr. Inst. Mathem, 3 (1984), 181-197 , MSC2000: *60J80, Reviewer: E.Seneta  zmath
94. 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, VNIISE, Moskva, 1984, 100-102.
95. Topchii V.A., “Asimptotika veroyatnosti prodolzheniya kriticheskikh obschikh vetvyaschikhsya protsessov bez vtorogo momenta u chislennosti potomstva”, Trudy Instituta matematiki SO RAN, 3, Izd-vo Instituta matematiki SO AN SSSR, Novosibirsk, 1984, 181-197
96. TOPCHII, VA, “ON DEGENERATION OF CRITICAL-GENERAL BRANCHING-PROCESSES Volume: 28 Issue: 3 Pages: Published:”, Theory of Probability and Its Applications, 28:3 (1984), WOS:A1984SY24800023 , 2 pp.  crossref  mathscinet

   1983
97. V. A. Topchii, “Asymptotics of the extinction probability for critical-general branching-processes”, Theory Probab. Appl., 27:4 (1983), 715–733  mathnet  crossref  mathscinet  zmath  isi

   1982
98. Topchij, V.A., “Zbl 0507.60079 Topchij, V.A. Local limit theorem for critical Bellman-Harris processes with discrete time. (Russian) Predel'nye Teoremy Teorii Veroyatnoste i Smezhnye Voprosy,”, Zbl 0507.60079, Tr. Inst. Mat., 1 (1982), 97-122 , MSC2000: *60J80  mathscinet  zmath
99. Topchii V.A., “Lokalnaya predelnaya teorema dlya kriticheskikh protsessov bellmana-Kharrisa s diskretnym vremenem”, Predelnye teoremy teorii veroyatnostei i smezhnye voprosy, Gl. red. S. L. Sobolev, izd-vo Instituta matematiki AN SSSR, 1982, 97-122
100. Topchii V.A., “Predelnye teoremy dlya kriticheskikh vetvyaschikhsya protsessov”, Teoriya veroyatnostei i ee primenenie, 1982, no. 27 , 2 pp.

   1980
101. 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)  mathnet  mathscinet  mathscinet  zmath  isi (cited: 20)
102. TOPCHII VA, “INVERSION OF THE THEOREM ON THE ASYMPTOTIC-BEHAVIOR OF THE PROBABILITY OF CONTINUATION OF THE CRUMP-MODE-JAGER CRITICAL PROCESSES”, THEORY OF PROBABILITY AND ITS APPLICATIONS, 25:1 (1980), 208-209  mathscinet  isi

   1979
103. Topchii V.A., Predelnye teoremy dlya kriticheskikh vetvyaschikhsya protsessov: dissertatsiya k. f.-m. n., 1979, Leningradskoe otdelenie matematicheskogo instituta im. Steklova RAN. Nauchnyi rukovoditel - prof. S.V. Nachaev. Spetsialnost 01.01.05, AN SSSR. Sibirskoe otdelenie. Institut matematiki., Novosibirsk, 1979 , 104 pp.

   1978
104. 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  crossref  isi  elib  scopus (cited: 1)

   1977
105. Topcii, V.A., “Limessätze für kritische, vom Teilchenalter abhängige, inhomogene Verzweigungsprozesse. (Russian)”, Zbl 0391.60080, Sib. Mat. Zh, 18 (1977), 1176-1187 , MSC2000: *60J80  mathscinet  zmath
106. Topchii V.A., “Lokalnaya predelnaya teorema dlya kriticheskikh protsessov Bellman-Kharrisa s diskretnym vremenem”, Sibirskii matematicheskii zhurnal, 18:1 (1977), 235

   1978
107. Topchij, V.A., “Asymptotic expansion for probability of continuation of critical Bellman-Harris processes.”, Sib. Math. Journal, 18:3 (1978), 665-674  crossref  mathscinet  mathscinet  zmath  scopus
108. Topchii, V.A., “Limit theorems for critical age-dependent nonhomogeneous branching processes”, Sib. Math. Journal, 1978, 835-844  crossref  mathscinet  zmath  scopus

   1975
109. Topchii V.A., “Asimptotika veroyatnosti prodolzheniya kriticheskogo neodnorodnogo vetvyaschegosya protsessa 1975.”, Sh Sov.- Yap. simp. po teorii veroyatnostei: Tez. dokl., Tashkent, 1975, 30

   1973
110. Topchii V.A., “Asimptotika veroyatnosti prodolzheniya i lokalnaya teorema dlya kriticheskikh zavisyaschikh ot vozrasta vetvyaschikhsya protsessov”, Mezhdun. konf. po teorii veroyatnostei i mat. statistike: Tez. dokl., Vilnyus, 1973, 281-282

Presentations in Math-Net.Ru
1. Исследование приращений и плотностей функции восстановления для распределений без первого момента
V. A. Topchii
Seminar by Department of Discrete Mathematic, Steklov Mathematical Institute of RAS
March 6, 2012 16:00
2. Conditions for regularity of increases and densities of the renewal function for distributions without first moment
V. A. Topchii
Principle Seminar of the Department of Probability Theory, Moscow State University
February 29, 2012 16:45
3. Среднее время жизни процессов Гальтона–Ватсона, ограниченных фиксированным уровнем
V. A. Topchii
Seminar by Department of Discrete Mathematic, Steklov Mathematical Institute of RAS
November 13, 2007 16:00

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