Bakhtin Victor Ivanovich

Publications in Math-Net.Ru

1. Packing dimensions of basins generated by distributions on a finite alphabet
   
   Journal of the Belarusian State University. Mathematics and Informatics, 2 (2021),  6–16
2. Hausdorff dimensions of narrow basins in the space of sequences
   
   Tr. Inst. Mat., 27:1-2 (2019),  3–12
3. Spectral potential, Kullback action, and large deviation principlefor finitely-additive measures
   
   Tr. Inst. Mat., 23:2 (2015),  11–23
4. Spectral potential, Kullback action, and large deviations of empirical measures on measurable spaces
   
   Teor. Veroyatnost. i Primenen., 59:4 (2014),  625–638
5. Estimators for an exponential family of distributions based on indirect observations
   
   Tr. Inst. Mat., 21:2 (2013),  54–62
6. Riesz Theorem for Positive Multilinear Functions
   
   Mat. Zametki, 92:4 (2012),  628–631
7. An approach to the Lebesgue integral by means of outer integral norm
   
   Tr. Inst. Mat., 20:1 (2012),  22–32
8. Crossed product of a $C^*$-algebra by an endomorphism, coefficient algebras and transfer operators
   
   Mat. Sb., 202:9 (2011),  3–34
9. A conditional extremum necessary condition in terms of local algebras
   
   Tr. Inst. Mat., 19:2 (2011),  3–6
10. Optimality conditions of first and second order in vector optimization problems on metric spaces
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 15:4 (2009),  32–43
11. Cramér Asymptotics in the Averaging Method for Systems with Fast Hyperbolic Motions
    
    Trudy Mat. Inst. Steklova, 244 (2004),  65–86
12. Foliated Functions and an Averaged Weighted Shift Operator for Perturbations of Hyperbolic Mappings
    
    Trudy Mat. Inst. Steklova, 244 (2004),  35–64
13. Cramér asymptotics in a system with slow and fast Markovian motions
    
    Teor. Veroyatnost. i Primenen., 44:1 (1999),  14–33
14. Large deviations of random variables with a finite number of approximately evaluated cumulants
    
    Teor. Veroyatnost. i Primenen., 42:3 (1997),  603–608
15. Averaging Along a Markov Chain
    
    Funktsional. Anal. i Prilozhen., 30:1 (1996),  54–56
16. Large deviations under power mixing
    
    Teor. Veroyatnost. i Primenen., 40:4 (1995),  878–881
17. Random processes generated by a hyperbolic sequence of mappings. II
    
    Izv. RAN. Ser. Mat., 58:3 (1994),  184–195
18. Random processes generated by a hyperbolic sequence of mappings. I
    
    Izv. RAN. Ser. Mat., 58:2 (1994),  40–72
19. A direct method of constructing an invariant measure on a hyperbolic attractor
    
    Izv. RAN. Ser. Mat., 56:5 (1992),  934–957
20. Averaging in a single-frequency system in general position
    
    Differ. Uravn., 27:9 (1991),  1493–1505
21. Weierstrass–Malgrange preparation theorem in the finitely smooth case
    
    Funktsional. Anal. i Prilozhen., 24:2 (1990),  3–15
22. On the transversality of mappings, pre-images of mappings, and the representation of sets of degenerate matrices as images
    
    Uspekhi Mat. Nauk, 42:2(254) (1987),  217–218
23. The topological normal forms of metamorphoses of caustics of the series $\mathbf{D}_\mu$
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1987, no. 4,  58–61
24. A strengthened extremal property of Chebyshev polynomials
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1987, no. 2,  45–46
25. Averaging in multifrequency systems
    
    Funktsional. Anal. i Prilozhen., 20:2 (1986),  1–7
26. Topological equivalence of germs of functions
    
    Mat. Zametki, 35:4 (1984),  579–588
27. Properties of the entropy and Hausdorff dimensions
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1982, no. 5,  25–29


28. Sessions of the Petrovskii seminar on differential equations and mathemathical problems of physics
    
    Uspekhi Mat. Nauk, 40:5(245) (1985),  295–307