Chani, A. S. On stability with probability one of one class of linear stochastic systems. (Russian) Zbl 1137.60326 Tr. Inst. Prikl. Mat. Mekh. 11, 148-154 (2006). Reviewer: S. Ya. Makhno MSC: 60G44 PDFBibTeX XMLCite \textit{A. S. Chani}, Tr. Inst. Prikl. Mat. Mekh. 11, 148--154 (2006; Zbl 1137.60326)
Chani, Aleksandr S. Minors of a linear stochastic system. (Russian. English summary) Zbl 1157.60334 Ukr. Mat. Visn. 2, No. 2, 281-294 (2005); translation in Ukr. Math. Bull. 2, No. 2, 285-298 (2005). MSC: 60H25 60H10 60G20 PDFBibTeX XMLCite \textit{A. S. Chani}, Ukr. Mat. Visn. 2, No. 2, 281--294 (2005; Zbl 1157.60334); translation in Ukr. Math. Bull. 2, No. 2, 285--298 (2005)
Chani, A. C. On the stability with probability one of a class of stochastic semigroups. (English) Zbl 1142.60373 Theory Stoch. Process. 11, No. 27, Part 3-4, 58-62 (2005). MSC: 60H25 PDFBibTeX XMLCite \textit{A. C. Chani}, Theory Stoch. Process. 11(27), No. 3--4, 58--62 (2005; Zbl 1142.60373)
Chani, A. The index of exponential growth for one class of stochastic semigroups in the Bernoulli scheme. (Russian) Zbl 1114.60300 Tr. Inst. Prikl. Mat. Mekh. 9, 205-208 (2004). Reviewer: S.Ya. Makhno MSC: 60B15 60F15 60H25 PDFBibTeX XMLCite \textit{A. Chani}, Tr. Inst. Prikl. Mat. Mekh. 9, 205--208 (2004; Zbl 1114.60300)
Chani, A. S. Characteristic equation for discrete semigroup in the Bernoulli scheme. (Russian) Zbl 1080.60004 Tr. Inst. Prikl. Mat. Mekh. 7, 218-224 (2002). Reviewer: S. Ya. Makhno MSC: 60B15 PDFBibTeX XMLCite \textit{A. S. Chani}, Tr. Inst. Prikl. Mat. Mekh. 7, 218--224 (2002; Zbl 1080.60004)
Chani, Alexander S. Asymptotic behaviour of solutions of 2-nd order difference equation with random coefficients. (English) Zbl 1064.60155 Theory Stoch. Process. 7(23), No. 3-4, 30-37 (2001). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 60H25 60F15 PDFBibTeX XMLCite \textit{A. S. Chani}, Theory Stoch. Process. 7(23), No. 3--4, 30--37 (2001; Zbl 1064.60155)
Chani, Alexander S. Discrete stochastic semigroups and associated difference equations with random coefficients. (English) Zbl 0987.60012 Theory Stoch. Process. 6(22), No. 1-2, 17-25 (2000). Reviewer: Mikhail Moklyachuk (Kyïv) MSC: 60B12 60H25 PDFBibTeX XMLCite \textit{A. S. Chani}, Theory Stoch. Process. 6(22), No. 1--2, 17--25 (2000; Zbl 0987.60012)
Chani, Alexander S. Connection of Lyapunov exponent of some class of the stochastic semigroups with the solutions of linear difference equations. (English) Zbl 0995.60011 Theory Stoch. Process. 5(21), No. 3-4, 40-45 (1999). Reviewer: Mikhail Moklyachuk (Kyïv) MSC: 60B12 60H25 60F17 PDFBibTeX XMLCite \textit{A. S. Chani}, Theory Stoch. Process. 5(21), No. 3--4, 40--45 (1999; Zbl 0995.60011)
Chani, Alexander S. Exact value of Lyapunov exponential for products of random matrices. (English) Zbl 0940.60017 Theory Stoch. Process. 4(20), No. 1-2, 89-94 (1998). Reviewer: Yu.V.Kozachenko (Kyïv) MSC: 60B12 60F17 15B52 PDFBibTeX XMLCite \textit{A. S. Chani}, Theory Stoch. Process. 4(20), No. 1--2, 89--94 (1998; Zbl 0940.60017)
Chani, A. S. Lower and upper exact estimations for products of random matrices. (English) Zbl 0913.60010 Random Oper. Stoch. Equ. 6, No. 4, 353-358 (1998). Reviewer: R.E.Maiboroda (Kyïv) MSC: 60E15 60B12 PDFBibTeX XMLCite \textit{A. S. Chani}, Random Oper. Stoch. Equ. 6, No. 4, 353--358 (1998; Zbl 0913.60010) Full Text: DOI
Chani, Alexander S. Lower and upper exact estimations for products of random matrices. (English) Zbl 0943.60009 Theory Stoch. Process. 3(19), No. 1-2, 141-146 (1997). Reviewer: A.V.Swishchuk (Kyïv) MSC: 60B12 60H25 60F17 PDFBibTeX XMLCite \textit{A. S. Chani}, Theory Stoch. Process. 3(19), No. 1--2, 141--146 (1997; Zbl 0943.60009)
Chani, A. S. Upper estimation for the Lyapunov exponent of products of a certain class of random matrices. (English) Zbl 0941.60031 Theory Stoch. Process. 2(18), No. 3-4, 11-16 (1996). Reviewer: Yu.V.Kozachenko (Kyïv) MSC: 60E05 60C05 PDFBibTeX XMLCite \textit{A. S. Chani}, Theory Stoch. Process. 2(18), No. 3--4, 11--16 (1996; Zbl 0941.60031)
Chani, A. S. Asymptotic behaviour of a class of stochastic semigroups. (Russian) Zbl 1026.60506 Theory Stoch. Process. 1(17), No. 1, 102-104 (1995). Reviewer: N.M.Zinchenko (Kyïv) MSC: 60H25 PDFBibTeX XMLCite \textit{A. S. Chani}, Theory Stoch. Process. 1(17), No. 1, 102--104 (1995; Zbl 1026.60506)
Chani, A. S. Asymptotic behavior of a class of stochastic semigroups in the Bernoulli scheme. (English. Russian original) Zbl 0852.15017 Ukr. Math. J. 45, No. 11, 1779-1784 (1993); translation from Ukr. Mat. Zh. 45, No. 11, 1580-1584 (1993). MSC: 15B52 60E99 15A30 20M20 PDFBibTeX XMLCite \textit{A. S. Chani}, Ukr. Math. J. 45, No. 11, 1779--1784 (1993; Zbl 0852.15017); translation from Ukr. Mat. Zh. 45, No. 11, 1580--1584 (1993) Full Text: DOI
Chani, A. S. Asymptotic behaviour of products of some classes of random matrices in the Bernoulli scheme. (English) Zbl 0841.60003 Random Oper. Stoch. Equ. 1, No. 3, 231-236 (1993). Reviewer: N.G.Gamkrelidze (Moskva) MSC: 60B15 60F15 PDFBibTeX XMLCite \textit{A. S. Chani}, Random Oper. Stoch. Equ. 1, No. 3, 231--236 (1993; Zbl 0841.60003) Full Text: DOI
Chani, A. S. Asymptotic behavior of the products of random matrices with values on a solvable Lie algebra. (English. Russian original) Zbl 0842.60007 Ukr. Math. J. 45, No. 7, 1166-1169 (1993); translation from Ukr. Mat. Zh. 45, No. 7, 1045-1048 (1993). Reviewer: A.Mukherjea (Tampa) MSC: 60B15 PDFBibTeX XMLCite \textit{A. S. Chani}, Ukr. Math. J. 45, No. 7, 1166--1169 (1993; Zbl 0842.60007); translation from Ukr. Mat. Zh. 45, No. 7, 1045--1048 (1993) Full Text: DOI
Chani, A. S. The index of exponential growth for stochastic semigroups of triangular form. (English. Russian original) Zbl 0837.47034 Theory Probab. Math. Stat. 45, 129-135 (1992); translation from Teor. Veroyatn. Mat. Stat., Kiev 45, 135-142 (1991). MSC: 47D07 60J35 PDFBibTeX XMLCite \textit{A. S. Chani}, Theory Probab. Math. Stat. 45, 1 (1991; Zbl 0837.47034); translation from Teor. Veroyatn. Mat. Stat., Kiev 45, 135--142 (1991)
Chani, A. S. The integral representation of the exponential product of stochastic semigroups. (English. Russian original) Zbl 0724.60079 J. Sov. Math. 53, No. 4, 453-456 (1991). MSC: 60H25 47D07 60J99 PDFBibTeX XMLCite \textit{A. S. Chani}, J. Sov. Math. 53, No. 4, 453--456 (1991; Zbl 0724.60079) Full Text: DOI
Chani, A. S. The generating process of the Trotter product of stochastic semigroups. (English. Russian original) Zbl 0712.60070 J. Sov. Math. 53, No. 1, 98-100 (1991); translation from Teor. Sluchajnykh Protsessov 14, 94-96 (1986). MSC: 60H25 47D07 60J99 PDFBibTeX XMLCite \textit{A. S. Chani}, J. Sov. Math. 53, No. 1, 98--100 (1991; Zbl 0712.60070); translation from Teor. Sluchajnykh Protsessov 14, 94--96 (1986) Full Text: DOI
Chani, A. S. The determinant of a linear stochastic system. (English. Russian original) Zbl 0800.60028 Lin’kov, Yu. N. (ed.), Theory of random processes and its applications. Kiev: Naukova Dumka. 148-155 (1990). MSC: 60H20 PDFBibTeX XMLCite \textit{A. S. Chani}, in: Теория случайных процессов и ее приложения. Kiev: Naukova Dumka. 148--155 (1990; Zbl 0800.60028)
Chani, A. S. Index of exponential growth for a class of stochastic semigroups. (English. Russian original) Zbl 0793.60072 J. Sov. Math. 67, No. 4, 3229-3233 (1993). MSC: 60H25 15B51 15B52 PDFBibTeX XMLCite \textit{A. S. Chani}, J. Sov. Math. 67, No. 4, 1 (1988; Zbl 0793.60072) Full Text: DOI
Chani, A. S. An index of exponential growth for a class of stochastic semigroups. (Russian) Zbl 0687.60062 Teor. Sluch. Protsess. 16, 78-84 (1988). Reviewer: A. B. Buche (Nagpur) MSC: 60H25 15B51 15B52 PDFBibTeX XMLCite \textit{A. S. Chani}, Teor. Sluch. Protsess. 16, 78--84 (1988; Zbl 0687.60062)
Chani, A. S. An integral representation of the exponential product of stochastic semigroups. (Russian) Zbl 0712.60071 Teor. Sluch. Protsess. 15, 106-110 (1987). MSC: 60H25 47D07 60J99 PDFBibTeX XMLCite \textit{A. S. Chani}, Teor. Sluch. Protsess. 15, 106--110 (1987; Zbl 0712.60071)
Chani, A. S. The Trotter and exponential products of stochastic semigroups. (Russian) Zbl 0626.60011 Teor. Sluchajnykh Protsessov 13, 97-104 (1985). Reviewer: Yu Xintai MSC: 60B15 60H99 PDFBibTeX XMLCite \textit{A. S. Chani}, Teor. Sluch. Protsess. 13, 97--104 (1985; Zbl 0626.60011)
Chani, A. S. A necessary and sufficient condition for representation of stochastic semigroups. (Russian) Zbl 0626.60010 Teor. Sluchajnykh Protsessov 12, 90-95 (1984). Reviewer: Yu Xintai MSC: 60B15 60H99 PDFBibTeX XMLCite \textit{A. S. Chani}, Teor. Sluch. Protsess. 12, 90--95 (1984; Zbl 0626.60010)
Chani, A. S. Stochastic semigroups without discontinuities of the second kind. (Russian) Zbl 0564.60065 Teor. Sluch. Protsess. 11, 102-105 (1983). Reviewer: A. B. Buche (Nagpur) MSC: 60H99 60J99 PDFBibTeX XMLCite \textit{A. S. Chani}, Teor. Sluch. Protsess. 11, 102--105 (1983; Zbl 0564.60065)
Chani, A. S. An integral representation for stochastic semigroups. (Russian) Zbl 0512.60070 Teor. Sluch. Protsess. 10, 91-96 (1982). MSC: 60J99 60G07 60H10 PDFBibTeX XMLCite \textit{A. S. Chani}, Teor. Sluch. Protsess. 10, 91--96 (1982; Zbl 0512.60070)
Chani, A. S. The group structure of the set of stochastic multiplicative semigroups. (Russian) Zbl 0492.60070 Teor. Sluch. Protsess. 9, 117-124 (1981). MSC: 60J99 47D03 PDFBibTeX XMLCite \textit{A. S. Chani}, Teor. Sluch. Protsess. 9, 117--124 (1981; Zbl 0492.60070)
Chani, A. S. Stochastic semigroups with independent increments. (Russian) Zbl 0492.60069 Teor. Sluch. Protsess. 9, 109-116 (1981). MSC: 60J99 47D03 PDFBibTeX XMLCite \textit{A. S. Chani}, Teor. Sluch. Protsess. 9, 109--116 (1981; Zbl 0492.60069)
Chani, A. S. The generator of the semigroup generated by a multiplicative process. (Russian) Zbl 0429.60077 Teor. Sluch. Protsess. 5, 96-99 (1977). MSC: 60J35 47D03 PDFBibTeX XMLCite \textit{A. S. Chani}, Teor. Sluch. Protsess. 5, 96--99 (1977; Zbl 0429.60077)
Chani, A. S. Martingales in the Banach space. (Russian) Zbl 0414.60009 Behaviour of systems in random media, Work Collect., Kiev 1976, 39-47 (1976). MSC: 60B11 60G44 PDFBibTeX XML
Chani, A. S. Multiplicative processes in a symmetric Banach ring. (Multiplikative Prozesse in einem symmetrischen Banachring.) (Russian) Zbl 0369.60064 Teor. Sluch. Protsess. 4, 94-98 (1976). Reviewer: Peter Süss MSC: 60B99 60H10 60G44 47D99 PDFBibTeX XML
Khametova, Z. Ya.; Chani, A. S. A limit theorem for certain functionals of a sequence of Markov chains. (Ein Grenzwertsatz für einige Funktionale aus einer Folge Markovscher Ketten.) (Russian) Zbl 0293.60027 Teor. Sluch. Protsess. 2, 109-113 (1974). Reviewer: O. K. Zakusilo MSC: 60F05 60J10 60J60 60H20 PDFBibTeX XML