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 2024 |
| 1. |
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. |
Eremeev A.V., Silaev D.V., Topchii V.A., “Obobschennaya mutatsiya s tyazhelymi khvostami dlya evolyutsionnykh algoritmov”, Sibirskie elektronnye matematicheskie izvestiya, 21:2 (2024), 940-959 |
| 3. |
Eremeev A., Topchii V., “Generalization of the Heavy-Tailed Mutation in the (1+(λ,λ)) Genetic Algorithm”, GECCO '24 Companion: Proceedings of the Genetic and Evolutionary Computation Conference Companion (Melbourne VIC Australia July 14 - 18, 2024), 979-8-4007-0495-6, eds. Xiaodong Li, Program Chair:Author PictureJulia Handl, Association for Computing MachineryNew YorkNYUnited States, 2024, 93–94 |
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| 2023 |
| 4. |
V. A. Topchii, “Properties of critical branching random walks on the line under non-extinction condition”, Diskretnaya Matematika, 35:1 (2023), 107-127 |
| 5. |
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 |
| 6. |
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  |
| 7. |
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 |
| 8. |
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) |
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| 2022 |
| 9. |
Topchii Valentin Alekseevich, biobibliograficheskii ukazatel / sost.: R.Kh. Bagautdinova; otv. red. V. A. Topchii, 2022 |
| 10. |
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 |
| 11. |
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 |
| 12. |
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 |
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| 2021 |
| 13. |
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    |
| 14. |
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  |
| 15. |
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 |
| 16. |
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) |
| 17. |
Loginov K.K., Topchii V.A., Pertsev N.V., (20-22 oktyabrya 2021 goda, g. Sankt-Peterburg), eds. Plotnikov A.M., Dolmatov M.A., Smirnova E.P., AO «TsTSS», 2021 "simulation.su/uploads/files/default/2021-immod-284-291.pdf |
| 18. |
N.V. Pertsev, V.A. Topchii, K.K. Loginov (20-22 oktyabrya 2021 goda, g. Sankt-Peterburg), eds. Plotnikov A.M., Dolmatov M.A., Smirnova E.P., AO «TsTSS», 2021 "simulation.su/uploads/files/default/2021-immod-344-351.pdf |
| 19. |
Loginov K.K., Pertsev N.V., Topchii V.A., “Chislennoe modelirovanie epidemicheskogo protsessa na osnove nepreryvno-diskretnoi stokhasticheskoi modeli”, Sbornik tezisov Evraziiskoi konferentsii po prikladnoi matematike (Novosibirsk, Akademgorodok, 16-22 dekabrya 2021 g.), 2021, 56 http://conf.nsc.ru/files/conferences/ecam2021/678167/document.pdf |
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| 2020 |
| 20. |
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 |
| 21. |
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 |
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| 2019 |
| 22. |
Loginov K. K., Pertsev N. V., Topchii V.A., “Stokhasticheskoe modelirovanie kompartmentnykh sistem s trubkami”, Matematicheskaya biologiya i bioinformatika, 14:1 (2019), 188-203 |
| 23. |
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 |
| 24. |
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 |
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| 2018 |
| 25. |
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 |
| 26. |
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 |
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| 2017 |
| 27. |
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 |
| 28. |
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 |
| 29. |
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 |
| 30. |
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 |
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| 2016 |
| 31. |
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 |
| 32. |
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 |
| 33. |
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 |
| 34. |
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 |
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| 2015 |
| 35. |
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 |
| 36. |
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 |
| 37. |
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 |
| 38. |
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 |
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| 2014 |
| 39. |
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 |
| 40. |
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) |
| 41. |
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 |
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| 2013 |
| 42. |
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 |
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| 2012 |
| 43. |
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 |
| 44. |
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 |
| 45. |
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 |
| 46. |
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 |
| 47. |
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 |
| 48. |
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 |
| 49. |
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 |
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| 2013 |
| 50. |
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 |
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| 2011 |
| 51. |
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 |
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| 2012 |
| 52. |
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. |
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| 2010 |
| 53. |
Yueyun Hu (LAGA), Vladimir Vatutin, Valentin Topchii, Branching random walk in $\mathbb Z^4$ with branching at the origin only, 2010 , arXiv: 1006.4769v1 |
| 54. |
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 |
| 55. |
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, M, Springer, Berlin, 2010, 109–118 http://www.springer.com/gp/book/9783642111549?wt_mc=GoogleBooks.GoogleBooks.3.EN&token=gbgen# |
| 56. |
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 |
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| 2009 |
| 57. |
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 |
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