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Sgibnev, Mikhail Sergeyevich
Statistics Math-Net.Ru
Total publications: 46
Scientific articles: 46

Number of views:
This page:1154
Abstract pages:10603
Full texts:4077
References:1449
Candidate of physico-mathematical sciences (1981)
Speciality: 01.01.05 (Probability theory and mathematical statistics)
E-mail:
Keywords: homogeneous Wiener-Hopf equation, system of integral equations, existence of a solution, asymptotic behavior

https://www.mathnet.ru/eng/person11021
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/257299

Publications in Math-Net.Ru Citations
2022
1. M. S. Sgibnev, “The renewal equation with unbounded inhomogeneous term”, Sib. Èlektron. Mat. Izv., 19:1 (2022),  81–90  mathnet  mathscinet  isi
2021
2. M. S. Sgibnev, “On the uniqueness of the solution to the Wiener–Hopf equation with probability kernel”, Sib. Èlektron. Mat. Izv., 18:2 (2021),  1146–1152  mathnet  isi
2020
3. M. S. Sgibnev, “The Wiener–Hopf equation with probability kernel of oscillating type”, Sib. Èlektron. Mat. Izv., 17 (2020),  1288–1298  mathnet  isi 3
4. M. S. Sgibnev, “The discrete wiener–hopf equation whose kernel is a probability distribution with positive drift”, Sibirsk. Mat. Zh., 61:2 (2020),  408–417  mathnet  elib; Siberian Math. J., 61:2 (2020), 322–329  isi  scopus
2019
5. M. S. Sgibnev, “The discrete Wiener–Hopf equation with submultiplicative asymptotics of the solution”, Sib. Èlektron. Mat. Izv., 16 (2019),  1600–1611  mathnet
6. M. S. Sgibnev, “The Wiener–Hopf equation in measures with probability kernel”, Sib. Èlektron. Mat. Izv., 16 (2019),  609–617  mathnet
7. M. S. Sgibnev, “The discrete Wiener–Hopf equation with probability kernel of oscillating type”, Sibirsk. Mat. Zh., 60:3 (2019),  664–675  mathnet  elib; Siberian Math. J., 60:3 (2019), 516–525  isi  scopus 4
2017
8. M. S. Sgibnev, “On Stone's renewal theorem for arithmetic distributions”, Diskr. Mat., 29:2 (2017),  84–95  mathnet  elib; Discrete Math. Appl., 28:6 (2018), 397–404  isi  scopus 1
9. M. S. Sgibnev, “On the inhomogeneous conservative Wiener–Hopf equation”, Sibirsk. Mat. Zh., 58:6 (2017),  1401–1417  mathnet  elib; Siberian Math. J., 58:6 (2017), 1090–1103  isi  scopus 2
10. M. S. Sgibnev, “Exact asymptotics of the solution to a difference equation of general type”, Sib. J. Pure and Appl. Math., 17:1 (2017),  45–54  mathnet; J. Math. Sci., 231:2 (2018), 267–277
2014
11. M. S. Sgibnev, “An asymptotic expansion of the solution of a matrix difference equation of general form”, Mat. Sb., 205:12 (2014),  141–154  mathnet  mathscinet  zmath  elib; Sb. Math., 205:12 (2014), 1815–1828  isi  scopus
12. M. S. Sgibnev, “Behavior at infinity of a solution to a matrix differential-difference equation”, Sibirsk. Mat. Zh., 55:3 (2014),  650–665  mathnet  mathscinet  elib; Siberian Math. J., 55:3 (2014), 530–543  isi  elib  scopus 2
2013
13. M. S. Sgibnev, “On Invertibility Conditions for Elements of Banach Algebras of Measures”, Mat. Zametki, 93:5 (2013),  772–774  mathnet  mathscinet  zmath  elib; Math. Notes, 93:5 (2013), 763–765  isi  elib  scopus 3
2012
14. M. S. Sgibnev, “Behavior at infinity of a solution to a differential-difference equation”, Sibirsk. Mat. Zh., 53:6 (2012),  1413–1432  mathnet  mathscinet  elib; Siberian Math. J., 53:6 (2012), 1139–1154  isi  elib  scopus 4
2010
15. M. S. Sgibnev, “On the existence of a solution of a homogeneous system of generalized Wiener–Hopf equations”, Izv. RAN. Ser. Mat., 74:3 (2010),  157–168  mathnet  mathscinet  zmath  elib; Izv. Math., 74:3 (2010), 595–606  isi  elib  scopus
16. M. S. Sgibnev, “An asymptotic property of the solution to the homogeneous generalized Wiener–Hopf equation”, Sibirsk. Mat. Zh., 51:6 (2010),  1430–1434  mathnet  mathscinet  elib; Siberian Math. J., 51:6 (2010), 1131–1134  isi  scopus 1
17. M. S. Sgibnev, “The uniqueness of a solution to the renewal type system of integral equations on the line”, Sibirsk. Mat. Zh., 51:1 (2010),  204–211  mathnet  mathscinet  elib; Siberian Math. J., 51:1 (2010), 168–173  isi  elib  scopus 2
2008
18. M. S. Sgibnev, “Semimultiplicative moments of factors in Wiener–Hopf matrix factorization”, Mat. Sb., 199:2 (2008),  115–130  mathnet  mathscinet  zmath  elib; Sb. Math., 199:2 (2008), 277–290  isi  elib  scopus 5
19. M. S. Sgibnev, “An asymptotic expansion of the solution to a system of integrodifferential equations with exact asymptotics for the remainder”, Sibirsk. Mat. Zh., 49:3 (2008),  650–667  mathnet  mathscinet  zmath; Siberian Math. J., 49:3 (2008), 524–538  isi  scopus 2
2007
20. M. S. Sgibnev, “Homogeneous conservative Wiener–Hopf equation”, Mat. Sb., 198:9 (2007),  123–132  mathnet  mathscinet  zmath  elib; Sb. Math., 198:9 (2007), 1341–1350  isi  scopus 8
2006
21. M. S. Sgibnev, “Asymptotics of solutions of an integro-differential and an integral equation”, Differ. Uravn., 42:9 (2006),  1222–1232  mathnet  mathscinet; Differ. Equ., 42:9 (2006), 1291–1301 1
22. M. S. Sgibnev, “Exact asymptotic expansions for solutions of multi-dimensional renewal equations”, Izv. RAN. Ser. Mat., 70:2 (2006),  159–178  mathnet  mathscinet  zmath  elib; Izv. Math., 70:2 (2006), 363–383  isi  elib  scopus 1
23. M. S. Sgibnev, “The matrix analogue of the Blackwell renewal theorem on the real line”, Mat. Sb., 197:3 (2006),  69–86  mathnet  mathscinet  zmath  elib; Sb. Math., 197:3 (2006), 369–386  isi  scopus 9
2004
24. M. S. Sgibnev, “Systems of Renewal-Type Integral Equations on the Line”, Differ. Uravn., 40:1 (2004),  128–137  mathnet  mathscinet; Differ. Equ., 40:1 (2004), 137–147 3
2002
25. M. S. Sgibnev, “Exact asymptotic behaviour of the renewal measure in the “critical” case”, Fundam. Prikl. Mat., 8:3 (2002),  911–920  mathnet  mathscinet  zmath
26. M. S. Sgibnev, “Semimultiplicative estimates for the solution of the multidimensional renewal equation”, Izv. RAN. Ser. Mat., 66:3 (2002),  159–174  mathnet  mathscinet  zmath; Izv. Math., 66:3 (2002), 595–610  scopus 1
2001
27. M. S. Sgibnev, “Stone decomposition for a matrix renewal measure on a half-line”, Mat. Sb., 192:7 (2001),  97–106  mathnet  mathscinet  zmath  elib; Sb. Math., 192:7 (2001), 1025–1033  isi  scopus 7
1999
28. B. A. Rogozin, M. S. Sgibnev, “Strongly subexponential distributions, and Banach algebras of measures”, Sibirsk. Mat. Zh., 40:5 (1999),  1137–1146  mathnet  mathscinet  zmath; Siberian Math. J., 40:5 (1999), 963–971  isi 9
29. B. A. Rogozin, M. S. Sgibnev, “Banach algebras of measures on the line with given asymptotics of distributions at infinity”, Sibirsk. Mat. Zh., 40:3 (1999),  660–672  mathnet  mathscinet  zmath; Siberian Math. J., 40:3 (1999), 565–576  isi 19
1998
30. M. S. Sgibnev, “On the distribution of the supremumof a random walk when the characteristic equation has roots”, Teor. Veroyatnost. i Primenen., 43:2 (1998),  383–390  mathnet  mathscinet  zmath; Theory Probab. Appl., 43:2 (1999), 322–329  isi 1
1997
31. M. S. Sgibnev, “Asymptotics of the generalized renewal functions when the variance is finite”, Teor. Veroyatnost. i Primenen., 42:3 (1997),  632–637  mathnet  mathscinet  zmath; Theory Probab. Appl., 42:3 (1998), 536–541  isi 3
1993
32. M. S. Sgibnev, “Asymptotics of the densities of higher-order renewal epochs”, Trudy Inst. Mat. SO RAN, 20 (1993),  246–256  mathnet  mathscinet  zmath
1991
33. M. S. Sgibnev, “Exponential estimates for the rate of convergence of higher renewal moments”, Sibirsk. Mat. Zh., 32:4 (1991),  143–152  mathnet  mathscinet  zmath; Siberian Math. J., 32:4 (1991), 657–664  isi 4
34. M. S. Sgibnev, “Asymptotic behavior of higher-order moments of renewals”, Teor. Veroyatnost. i Primenen., 36:3 (1991),  494–504  mathnet  mathscinet  zmath; Theory Probab. Appl., 36:3 (1991), 508–518  isi 2
1990
35. M. S. Sgibnev, “Asymptotics of infinitely divisible distributions on $\mathbf{R}$”, Sibirsk. Mat. Zh., 31:1 (1990),  135–140  mathnet  mathscinet  zmath; Siberian Math. J., 31:1 (1990), 115–119  isi 22
1989
36. M. S. Sgibnev, “Asymptotics of infinitely divisible distributions in $\mathbf{R}^n$”, Trudy Inst. Mat. Sib. Otd. AN SSSR, 13 (1989),  100–116  mathnet  mathscinet  zmath
37. M. S. Sgibnev, “Banach algebras and infinitely divisible distributions”, Mat. Zametki, 46:4 (1989),  60–65  mathnet  mathscinet  zmath; Math. Notes, 46:4 (1989), 794–798  isi
1988
38. M. S. Sgibnev, “Banach algebras of measures of class”, Sibirsk. Mat. Zh., 29:4 (1988),  162–171  mathnet  mathscinet  zmath; Siberian Math. J., 29:4 (1988), 647–655  isi 8
1981
39. M. S. Sgibnev, “On the renewal theorem in the case of infinite variance”, Sibirsk. Mat. Zh., 22:5 (1981),  178–189  mathnet  mathscinet  zmath; Siberian Math. J., 22:5 (1981), 787–796  isi 23
40. M. S. Sgibnev, “Banach algebras of functions that have identical asymptotic behavior at infinity”, Sibirsk. Mat. Zh., 22:3 (1981),  179–187  mathnet  mathscinet  zmath; Siberian Math. J., 22:3 (1981), 467–473  isi 4
1980
41. B. A. Rogozin, M. S. Sgibnev, “Banach algebras of measures on the line”, Sibirsk. Mat. Zh., 21:2 (1980),  160–169  mathnet  mathscinet  zmath; Siberian Math. J., 21:2 (1980), 265–273  isi 12
1979
42. M. S. Sgibnev, “Asymptotic analysis of the density of the renewal function”, Sibirsk. Mat. Zh., 20:1 (1979),  141–151  mathnet  mathscinet  zmath; Siberian Math. J., 20:1 (1979), 101–108  isi 3
43. B. A. Rogozin, M. S. Sgibnev, “Banach algebras of absolutely continuous measures on the line”, Sibirsk. Mat. Zh., 20:1 (1979),  119–127  mathnet  mathscinet  zmath; Siberian Math. J., 20:1 (1979), 86–92  isi 4
1978
44. B. A. Rogozin, M. S. Sgibnev, “Maximal ideals of Banach algebras of measures on the real line”, Mat. Zametki, 24:3 (1978),  315–318  mathnet  mathscinet  zmath; Math. Notes, 24:3 (1978), 669–671 1
1977
45. B. A. Rogozin, M. S. Sgibnev, “Banach algebras of absolutely continuous measures on a straight line”, Funktsional. Anal. i Prilozhen., 11:3 (1977),  92–93  mathnet  mathscinet  zmath; Funct. Anal. Appl., 11:3 (1977), 239–241
46. M. S. Sgibnev, “Distribution of the supremum of sums of independent variables with negative drift”, Mat. Zametki, 22:5 (1977),  763–770  mathnet  mathscinet  zmath; Math. Notes, 22:5 (1977), 916–920

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