01.01.05 (Probability theory and mathematical statistics)
Birth date:
23.07.1957
E-mail:
Keywords:
Process, random walks, estimation, semimartingale, simulation.
UDC:
519.246, 577.71:519.95
Subject:
1) stochastic processes;
2) random walks in random environments;
3) stochastic models of biological systems;
4) prediction of destruction events in engineering.
Main publications:
Butov A.A., “Martingalnye metody izucheniya sluchainykh bluzhdanii v odnomernoi sluchainoi srede”, Teoriya veroyatnostei i ee primeneniya, 39:4 (1994), 681–698
D. S. Andreev, A. A. Butov, “A study of road traffic using the methods of simulation modelling”, Uchenyye zapiski UlGU. Seriya "Matematika i informatsionnyye tekhnologii", 2024, no. 1, 1–6
2023
2.
A. S. Khurtin, A. A. Butov, “Simulation modeling of the road fence assembly process”, Uchenyye zapiski UlGU. Seriya "Matematika i informatsionnyye tekhnologii", 2023, no. 2, 121–131
3.
N. A. Dementev, A. A. Butov, “Image filtering based on discrete cosine transform using robust indicators of non-Gaussian distributions”, Uchenyye zapiski UlGU. Seriya "Matematika i informatsionnyye tekhnologii", 2023, no. 1, 19–27
4.
A. A. Butov, I. A. Maksimov, “Model of information system support in terms of queuing systems”, Uchenyye zapiski UlGU. Seriya "Matematika i informatsionnyye tekhnologii", 2023, no. 1, 6–12
5.
A. A. Butov, I. A. Maksimov, “Model of information system support in terms of queuing systems”, Uchenyye zapiski UlGU. Seriya "Matematika i informatsionnyye tekhnologii", 2023, no. 1, 1–5
2022
6.
A. A. Butov, I. R. Suleymanov, T. S. Leushkina, “Analysis of the node for receiving one-time commands of the mathematical model of the heating control unit”, Uchenyye zapiski UlGU. Seriya "Matematika i informatsionnyye tekhnologii", 2022, no. 2, 15–20
7.
A. A. Butov, A. S. Shabalin, “Forecast and study of time series dependencies on the example of an increase in the incidence of COVID-19”, Uchenyye zapiski UlGU. Seriya "Matematika i informatsionnyye tekhnologii", 2022, no. 1, 1–7
2021
8.
A. A. Butov, D. I. Khisamutdinov, “Model of circadian rhythm disturbances under the influence of changes in the external environment”, Uchenyye zapiski UlGU. Seriya "Matematika i informatsionnyye tekhnologii", 2021, no. 1, 8–12
2020
9.
A. A. Butov, “Estimating the parameters of distributed productive just-in-time systems”, Avtomat. i Telemekh., 2020, no. 3, 14–27; Autom. Remote Control, 81:3 (2020), 387–397
A. A. Butov, O. A. Lavrova, “Distribution approximation in multi-stage aging models”, Uchenyye zapiski UlGU. Seriya "Matematika i informatsionnyye tekhnologii", 2020, no. 2, 7–12
11.
A. A. Butov, I. A. Shevaldov, “Model of a multidimensional productive system “just-in-time””, Uchenyye zapiski UlGU. Seriya "Matematika i informatsionnyye tekhnologii", 2020, no. 1, 25–31
12.
A. A. Butov, M. V. Samokhvalov, “Mathematical models multi-stage wear of productive systems”, Uchenyye zapiski UlGU. Seriya "Matematika i informatsionnyye tekhnologii", 2020, no. 1, 17–24
13.
A. A. Butov, I. V. Krysov, “Application of the Gompertz-Makeham model in the analysis of technical systems”, Uchenyye zapiski UlGU. Seriya "Matematika i informatsionnyye tekhnologii", 2020, no. 1, 13–16
2019
14.
A. A. Butov, M. V. Samokhvalov, “Mathematical model of cartilage depletion in cycling training”, Uchenyye zapiski UlGU. Seriya "Matematika i informatsionnyye tekhnologii", 2019, no. 2, 20–23
15.
A. A. Butov, A. A. Kovalenko, M. V. Samokhvalov, “Computer simulation of discrete multistage destruction processes and operations in stochastic productive systems”, Uchenyye zapiski UlGU. Seriya "Matematika i informatsionnyye tekhnologii", 2019, no. 1, 20–23
16.
A. A. Butov, A. A. Kovalenko, “Stochastic models of just-in-time systems and windows of vulnerability in terms of the processes of birth and death”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 23:3 (2019), 525–540
A. A. Butov, P. V. Kareva, “Methods of simulation modeling of multivariant processes”, Uchenyye zapiski UlGU. Seriya "Matematika i informatsionnyye tekhnologii", 2018, no. 2, 21–23
18.
A. A. Butov, O. V. Verentsova, “Mathematical and computer model of circadian rhythms of blood pressure measurements”, Uchenyye zapiski UlGU. Seriya "Matematika i informatsionnyye tekhnologii", 2018, no. 2, 15–20
19.
A. A. Butov, O. V. Verentsova, “Simulation model of spontaneous resorption of a tumor”, Uchenyye zapiski UlGU. Seriya "Matematika i informatsionnyye tekhnologii", 2018, no. 2, 8–14
20.
A. A. Butov, A. S. Shabalin, T. S. Chibrikova, “Mathematical model of multistage aging with restoration”, Uchenyye zapiski UlGU. Seriya "Matematika i informatsionnyye tekhnologii", 2018, no. 1, 34–37
A. A. Butov, A. Yu. Sukhareva, “The methods of mathematical modelling and simulation of the randomization for the processes with reflection”, Uchenyye zapiski UlGU. Seriya "Matematika i informatsionnyye tekhnologii", 2018, no. 1, 29–33
22.
A. A. Butov, A. Yu. Sukhareva, “Computer simulation of random walks by method of randomization”, Uchenyye zapiski UlGU. Seriya "Matematika i informatsionnyye tekhnologii", 2018, no. 1, 22–28
23.
A. A. Butov, A. F. Enikeeva, “Simulation of the systems under the Gronwall–Bellman inequality”, Uchenyye zapiski UlGU. Seriya "Matematika i informatsionnyye tekhnologii", 2018, no. 1, 16–21
24.
A. A. Butov, E. Yu. Guskov, “Mathematical modeling of system of the analysis of windows of vulnerability”, Uchenyye zapiski UlGU. Seriya "Matematika i informatsionnyye tekhnologii", 2018, no. 1, 13–15
A. A. Butov, A. A. Kovalenko, “Stochastic models of simple controlled systems just-in-time”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 22:3 (2018), 518–531
M. S. Gavrilova, A. A. Butov, V. I. Ruzov, V. A. Razin, “Mathematical model of system of two-phase
homeostasis at the time of stress”, News of the Kabardin-Balkar scientific center of RAS, 2011, no. 5, 15–21
2005
27.
T. Z. Biktimirov, A. A. Butov, Yu. G. Savinov, “Optimal control of the moment of spontaneous tumor regression”, Avtomat. i Telemekh., 2005, no. 4, 170–175; Autom. Remote Control, 66:4 (2005), 658–663
A. A. Butov, M. A. Volkov, “Optimal control in the change-point problem as a model of energy production optimization in aging”, Probl. Upr., 2004, no. 4, 54–57
A. A. Butov, “Martingale methods for random walks in a one-dimensional random environment”, Teor. Veroyatnost. i Primenen., 39:4 (1994), 681–698; Theory Probab. Appl., 39:4 (1994), 558–572
A. A. Butov, “Some estimates for a one-dimensional birth and death process in a random environment”, Teor. Veroyatnost. i Primenen., 36:3 (1991), 561–565; Theory Probab. Appl., 36:3 (1991), 578–583
A. A. Butov, “A limit theorem for a birth and death process in a random medium of functional type”, Uspekhi Mat. Nauk, 45:3(273) (1990), 183–184; Russian Math. Surveys, 45:3 (1990), 216–217
A. A. Butov, E. V. Krichagina, “A functional limit theorem for a symmetric walk in a random environment”, Uspekhi Mat. Nauk, 43:2(260) (1988), 133–134; Russian Math. Surveys, 43:2 (1988), 163–164
A. A. Butov, “On the problem of weak convergence of a sequence of semimartingales to a process of diffusion type”, Uspekhi Mat. Nauk, 38:5(233) (1983), 181–182; Russian Math. Surveys, 38:5 (1983), 135–136
1982
35.
A. A. Butov, “The equivalence of measures corresponding to canonical Gaussian processes”, Uspekhi Mat. Nauk, 37:5(227) (1982), 169–170; Russian Math. Surveys, 37:5 (1982), 162–163
A. A. Butov, “Optimal linear filtering in noise degeneration in observations”, Avtomat. i Telemekh., 1980, no. 11, 33–39; Autom. Remote Control, 41:11 (1981), 1506–1511
A. A. Butov, “Method for functional division of a completely determined Boolean function”, Avtomat. i Telemekh., 1978, no. 9, 121–125; Autom. Remote Control, 39:9 (1979), 1361–1365
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