Portenko, M. I. The origin and development of the ideas of the theory of stochastic differential equations in the Ukrainian school of mathematics. (Ukrainian. English summary) Zbl 1538.60102 Zb. Pr. Inst. Mat. NAN Ukr. 20, No. 1, 712-728 (2023). MSC: 60H10 01A60 PDFBibTeX XMLCite \textit{M. I. Portenko}, Zb. Pr. Inst. Mat. NAN Ukr. 20, No. 1, 712--728 (2023; Zbl 1538.60102) Full Text: DOI OA License
Kopytko, B. I.; Portenko, M. I. On a multidimensional Brownian motion with a membrane located on a given hyperplane. (English) Zbl 1511.60117 Stochastic Processes Appl. 160, 371-385 (2023). MSC: 60J65 60J60 PDFBibTeX XMLCite \textit{B. I. Kopytko} and \textit{M. I. Portenko}, Stochastic Processes Appl. 160, 371--385 (2023; Zbl 1511.60117) Full Text: DOI
Kopytko, B. I.; Portenko, M. I. Brownian motion in a Euclidean space with a membrane located on a given hyperplane. (Ukrainian. English summary) Zbl 1499.60276 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2022, No. 1, 3-10 (2022). MSC: 60J65 60J60 PDFBibTeX XMLCite \textit{B. I. Kopytko} and \textit{M. I. Portenko}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2022, No. 1, 3--10 (2022; Zbl 1499.60276) Full Text: DOI OA License
Osypchuk, M. M.; Portenko, M. I. Pseudodifferential equations and \(\alpha\)-stable stochastic processes. (Ukrainian. English summary) Zbl 1488.60089 Zb. Pr. Inst. Mat. NAN Ukr. 17, No. 2, 283-337 (2020). MSC: 60G17 60G52 PDFBibTeX XMLCite \textit{M. M. Osypchuk} and \textit{M. I. Portenko}, Zb. Pr. Inst. Mat. NAN Ukr. 17, No. 2, 283--337 (2020; Zbl 1488.60089)
Osypchuk, M. M.; Portenko, M. I. On some Markov processes related to a symmetric \(\alpha\)-stable process. (English) Zbl 1498.60312 Stochastics 90, No. 7, 972-991 (2018). MSC: 60J25 60G50 60G52 PDFBibTeX XMLCite \textit{M. M. Osypchuk} and \textit{M. I. Portenko}, Stochastics 90, No. 7, 972--991 (2018; Zbl 1498.60312) Full Text: DOI
Berezans’kyi, Yu. M.; Korolyuk, V. S.; Lukovs’kyi, I. O.; Makarov, V. L.; Marchenko, V. O.; Pastur, L. A.; Perestyuk, M. O.; Khruslov, E. Ya.; Sharkovs’kyi, O. M.; Boichuk, O. A.; Hutlyans’kyi, V. Ya.; Kochubei, A. N.; Kushnir, R. M.; Nikitin, A. H.; Portenko, M. I.; Antonyuk, O. V.; Parasyuk, I. O.; Ronto, M. I.; Tkachenko, V. I.; Trofimchuk, S. I. Anatolii Mykhailovych Samoilenko (on his 80th birthday). (English. Ukrainian original) Zbl 1419.01007 Ukr. Math. J. 70, No. 1, 1-4 (2018); translation from Ukr. Mat. Zh. 70, No. 1, 3-6 (2018). MSC: 01A70 PDFBibTeX XMLCite \textit{Yu. M. Berezans'kyi} et al., Ukr. Math. J. 70, No. 1, 1--4 (2018; Zbl 1419.01007); translation from Ukr. Mat. Zh. 70, No. 1, 3--6 (2018) Full Text: DOI
Osypchuk, M. M.; Portenko, M. I. On constructing a sticky membrane located on a given surface for a symmetric \(\alpha\)-stable process. (English) Zbl 1424.60067 Theory Stoch. Process. 23, No. 1, 66-72 (2018). MSC: 60G52 35S11 PDFBibTeX XMLCite \textit{M. M. Osypchuk} and \textit{M. I. Portenko}, Theory Stoch. Process. 23, No. 1, 66--72 (2018; Zbl 1424.60067) Full Text: Link
Portenko, Mykola A 100th anniversary tribute to Iosif Il’ich Gikhman. (English) Zbl 1424.01019 Theory Stoch. Process. 23, No. 1, 1-5 (2018). MSC: 01A70 PDFBibTeX XMLCite \textit{M. Portenko}, Theory Stoch. Process. 23, No. 1, 1--5 (2018; Zbl 1424.01019) Full Text: Link
Osypchuk, M. M.; Portenko, M. I. On the distribution of a rotationally invariant \(\alpha\)-stable process at the hitting time of a given hyperplane. (English) Zbl 1424.60066 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2018, No. 12, 14-20 (2018). MSC: 60G52 PDFBibTeX XMLCite \textit{M. M. Osypchuk} and \textit{M. I. Portenko}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2018, No. 12, 14--20 (2018; Zbl 1424.60066) Full Text: DOI OA License
Osypchuk, M. M.; Portenko, M. I. On the third initial-boundary value problem for some class of pseudo-differential equations related to a symmetric \(\alpha\)-stable process. (English) Zbl 1402.35327 J. Pseudo-Differ. Oper. Appl. 9, No. 4, 811-835 (2018). MSC: 35S11 60G52 PDFBibTeX XMLCite \textit{M. M. Osypchuk} and \textit{M. I. Portenko}, J. Pseudo-Differ. Oper. Appl. 9, No. 4, 811--835 (2018; Zbl 1402.35327) Full Text: DOI
Osypchuk, M. M.; Portenko, M. I. Symmetric \(\alpha\)-stable stochastic process and the third initial-boundary-value problem for the corresponding pseudodifferential equation. (English. Ukrainian original) Zbl 1516.35585 Ukr. Math. J. 69, No. 10, 1631-1650 (2018); translation from Ukr. Mat. Zh. 69, No. 10, 1406-1421 (2017). MSC: 35S16 60G52 PDFBibTeX XMLCite \textit{M. M. Osypchuk} and \textit{M. I. Portenko}, Ukr. Math. J. 69, No. 10, 1631--1650 (2018; Zbl 1516.35585); translation from Ukr. Mat. Zh. 69, No. 10, 1406--1421 (2017) Full Text: DOI
Osypchuk, M. M.; Portenko, M. I. On simple-layer potentials for one class of pseudodifferential equations. (English. Ukrainian original) Zbl 1387.35649 Ukr. Math. J. 67, No. 11, 1704-1720 (2016); translation from Ukr. Mat. Zh. 67, No. 11, 1512-1524 (2015). MSC: 35S15 47D07 60G52 PDFBibTeX XMLCite \textit{M. M. Osypchuk} and \textit{M. I. Portenko}, Ukr. Math. J. 67, No. 11, 1704--1720 (2016; Zbl 1387.35649); translation from Ukr. Mat. Zh. 67, No. 11, 1512--1524 (2015) Full Text: DOI
Andreichenko, Dmitry K.; Andreichenko, Konstantin P.; Melnichuk, Dmitry V.; Portenko, Marina S. Adaptive algorithm of parametric synthesis of hybrid dynamical systems. (Russian. English summary) Zbl 1377.93070 Izv. Sarat. Univ. (N.S.), Ser. Mat. Mekh. Inform. 16, No. 4, 465-474 (2016). MSC: 93B50 93C30 93B52 93C15 93C20 PDFBibTeX XMLCite \textit{D. K. Andreichenko} et al., Izv. Sarat. Univ. (N.S.), Ser. Mat. Mekh. Inform. 16, No. 4, 465--474 (2016; Zbl 1377.93070) Full Text: DOI OA License
Portenko, Marina S.; Melnichuk, Dmitry V.; Andreichenko, Dmitry K. Analyticity conditions of characteristic and disturbing quasipolynomials of hybrid dynamical systems. (Russian. English summary) Zbl 1354.34037 Izv. Sarat. Univ. (N.S.), Ser. Mat. Mekh. Inform. 16, No. 2, 208-217 (2016). MSC: 34A38 34D20 PDFBibTeX XMLCite \textit{M. S. Portenko} et al., Izv. Sarat. Univ. (N.S.), Ser. Mat. Mekh. Inform. 16, No. 2, 208--217 (2016; Zbl 1354.34037) Full Text: DOI OA License
Osypchuk, M. M.; Portenko, M. I. One type of singular perturbations of a multidimensional stable process. (English) Zbl 1340.47089 Theory Stoch. Process. 19, No. 2, 42-51 (2014). MSC: 47D06 47G30 60E07 60G52 PDFBibTeX XMLCite \textit{M. M. Osypchuk} and \textit{M. I. Portenko}, Theory Stoch. Process. 19, No. 2, 42--51 (2014; Zbl 1340.47089)
Buldygin, Valerii; Dorogovtsev, Andrey; Portenko, Mykola; Kadyrova, Irina Anatolii Skorokhod (10 September 1930 – 3 January 2011). (English) Zbl 1315.01034 Eur. Math. Soc. Newsl. 94, 24-31 (2014). MSC: 01A70 PDFBibTeX XMLCite \textit{V. Buldygin} et al., Eur. Math. Soc. Newsl. 94, 24--31 (2014; Zbl 1315.01034)
Osypchuk, M. M.; Portenko, M. I. On Ornstein-Uhlenbeck’s measure of a Hilbert ball in the space of continuous functions. (English) Zbl 1313.60141 Theory Stoch. Process. 19, No. 1, 46-51 (2014). MSC: 60J60 60G07 PDFBibTeX XMLCite \textit{M. M. Osypchuk} and \textit{M. I. Portenko}, Theory Stoch. Process. 19, No. 1, 46--51 (2014; Zbl 1313.60141)
Berezans’kyi, Yu. M.; Boichuk, O. A.; Horbachuk, M. L.; Drozd, Yu. A.; Korolyuk, V. S.; Lukovs’kyi, I. O.; Makarov, V. L.; Nikitin, A. H.; Perestyuk, M. O.; Portenko, M. I.; Samoilenko, Yu. S.; Trokhymchuk, Yu. Yu.; Sharko, V. V.; Sharkovs’kyi, O. M. Anatolii Mykhailovych Samoilenko (on his 75th birthday). (English. Ukrainian original) Zbl 1275.01007 Ukr. Math. J. 65, No. 1, 1-4 (2013); translation from Ukr. Mat. Zh. 65, No. 1, 3-6 (2013). MSC: 01A70 PDFBibTeX XMLCite \textit{Yu. M. Berezans'kyi} et al., Ukr. Math. J. 65, No. 1, 1--4 (2013; Zbl 1275.01007); translation from Ukr. Mat. Zh. 65, No. 1, 3--6 (2013) Full Text: DOI
Osypchuk, M. M.; Portenko, M. I. An extremum problem for some class of Brownian motions with drifts. (English. Russian original) Zbl 1291.60165 J. Math. Sci., New York 179, No. 1, 164-173 (2011); translation from Probl. Math. Anal. 61, 139-146 (2011). MSC: 60J65 PDFBibTeX XMLCite \textit{M. M. Osypchuk} and \textit{M. I. Portenko}, J. Math. Sci., New York 179, No. 1, 164--173 (2011; Zbl 1291.60165); translation from Probl. Math. Anal. 61, 139--146 (2011) Full Text: DOI
Osypchuk, Mykhajlo; Portenko, Mykola Limit distribution for local times at zero of a sequence of diffusion processes. (Ukrainian. English summary) Zbl 1265.60152 Mat. Visn. Nauk. Tov. Im. Shevchenka 8, 167-183 (2011). MSC: 60J60 60H10 PDFBibTeX XMLCite \textit{M. Osypchuk} and \textit{M. Portenko}, Mat. Visn. Nauk. Tov. Im. Shevchenka 8, 167--183 (2011; Zbl 1265.60152)
Osypchuk, M. M.; Portenko, N. I. On the number of crossings of an arbitrary level by the sequence of diffusion processes with the periodic coefficients. (Ukrainian. English summary) Zbl 1224.60206 Mat. Stud. 33, No. 2, 199-211 (2010). MSC: 60J60 60H10 PDFBibTeX XMLCite \textit{M. M. Osypchuk} and \textit{N. I. Portenko}, Mat. Stud. 33, No. 2, 199--211 (2010; Zbl 1224.60206)
Kopytko, Bohdan I.; Portenko, Mykola I. The problem of pasting together two diffusion processes and classical potentials. (English) Zbl 1224.60203 Theory Stoch. Process. 15, No. 2, 126-139 (2009). MSC: 60J60 60J35 PDFBibTeX XMLCite \textit{B. I. Kopytko} and \textit{M. I. Portenko}, Theory Stoch. Process. 15, No. 2, 126--139 (2009; Zbl 1224.60203)
Portenko, M. I. Beginning of the Ukrainian school of probability theory: a historical sketch. (Ukrainian, English) Zbl 1224.01036 Teor. Jmovirn. Mat. Stat. 79, 1-4 (2008); translation in Theory Probab. Math. Stat. 79, 1-5 (2009). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 01A70 01A72 60-03 PDFBibTeX XMLCite \textit{M. I. Portenko}, Teor. Ĭmovirn. Mat. Stat. 79, 1--4 (2008; Zbl 1224.01036); translation in Theory Probab. Math. Stat. 79, 1--5 (2009) Full Text: DOI
Aryasova, Olga V.; Portenko, Mykola I. A uniqueness theorem for the martingale problem describing a diffusion in media with membranes. (English) Zbl 1224.60200 Theory Stoch. Process. 14, No. 2, 1-9 (2008). MSC: 60J60 60J35 PDFBibTeX XMLCite \textit{O. V. Aryasova} and \textit{M. I. Portenko}, Theory Stoch. Process. 14, No. 2, 1--9 (2008; Zbl 1224.60200) Full Text: arXiv
Portenko, M.Ī. Ĭ. Ī. Gīkhman (on the 90th anniversary of his birth). (Ukrainian) Zbl 1246.01041 Dorogovtsev, A. A. (ed.), Математика сьогодні ’07. Вып.13. Kyïv: “Fakt”. 159-166 (2007). MSC: 01A70 PDFBibTeX XMLCite \textit{M. Ī. Portenko}, in: Математика сьогодні '07. Вып.13. Kyïv: ``Fakt''. 159--166 (2007; Zbl 1246.01041)
Portenko, M.Ī. A formula for the resolvent of a one-dimensional diffusion process and its application to limit theorems. (Ukrainian) Zbl 1246.60104 Dorogovtsev, A. A. (ed.), Математика сьогодні ’07. Вып.13. Kyïv: “Fakt”. 66-96 (2007). MSC: 60J60 60F05 PDFBibTeX XMLCite \textit{M. Ī. Portenko}, in: Математика сьогодні '07. Вып.13. Kyïv: ``Fakt''. 66--96 (2007; Zbl 1246.60104)
Aryasova, Olga V.; Portenko, Mykola I. One example of a random change of time that transforms a generalized diffusion process into an ordinary one. (English) Zbl 1199.60288 Theory Stoch. Process. 13(29), No. 3, 12-21 (2007). MSC: 60J60 60J35 PDFBibTeX XMLCite \textit{O. V. Aryasova} and \textit{M. I. Portenko}, Theory Stoch. Process. 13(29), No. 3, 12--21 (2007; Zbl 1199.60288)
Kopytko, Bogdan I.; Portenko, Mykola I. An example of a stochastic differential equation with the property of weak non-uniqueness of a solution. (English) Zbl 1142.60386 Theory Stoch. Process. 12, No. 28, Part 1-2, 68-76 (2006). MSC: 60J60 60J35 PDFBibTeX XMLCite \textit{B. I. Kopytko} and \textit{M. I. Portenko}, Theory Stoch. Process. 12(28), No. 1--2, 68--76 (2006; Zbl 1142.60386)
Aryasova, Olga V.; Portenko, Mykola I. One class of multidimensional stochastic differential equations not having the property of weak uniqueness of a solution. (English) Zbl 1142.60382 Theory Stoch. Process. 11, No. 27, Part 3-4, 14-28 (2005). MSC: 60J60 60J35 PDFBibTeX XMLCite \textit{O. V. Aryasova} and \textit{M. I. Portenko}, Theory Stoch. Process. 11(27), No. 3--4, 14--28 (2005; Zbl 1142.60382)
Kopytko, Bogdan I.; Portenko, Mykola I. One more example of a diffusion process whose local characteristics do not determine uniquely its transition probability. (English) Zbl 1142.60385 Theory Stoch. Process. 11, No. 27, Part 1-2, 74-80 (2005). MSC: 60J60 PDFBibTeX XMLCite \textit{B. I. Kopytko} and \textit{M. I. Portenko}, Theory Stoch. Process. 11(27), No. 1--2, 74--80 (2005; Zbl 1142.60385)
Portenko, M. I. On renewal equations appearing in some problems in the theory of generalized diffusion processes. (Ukrainian, English) Zbl 1093.60064 Ukr. Mat. Zh. 57, No. 9, 1302-1312 (2005); translation in Ukr. Math. J. 57, No. 9, 1522-1534 (2005). MSC: 60K05 60J60 PDFBibTeX XMLCite \textit{M. I. Portenko}, Ukr. Mat. Zh. 57, No. 9, 1302--1312 (2005; Zbl 1093.60064); translation in Ukr. Math. J. 57, No. 9, 1522--1534 (2005) Full Text: DOI
Portenko, M. I.; Kopytko, B. I. The example of a diffusion process, whose Kolmogorov local characteristics do not determine uniquely its transition probabilities. (Ukrainian. English summary) Zbl 1088.60084 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2005, No. 5, 26-32 (2005). MSC: 60J60 35K57 35R60 PDFBibTeX XMLCite \textit{M. I. Portenko} and \textit{B. I. Kopytko}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2005, No. 5, 26--32 (2005; Zbl 1088.60084)
Aryasova, Olga V.; Portenko, Mykola I. Two-dimensional Brownian motion with membranes situated on the sides of an angle. (English) Zbl 1065.60106 Theory Stoch. Process. 9(25), No. 1-2, 18-29 (2003). MSC: 60J60 60G20 PDFBibTeX XMLCite \textit{O. V. Aryasova} and \textit{M. I. Portenko}, Theory Stoch. Process. 9(25), No. 1--2, 18--29 (2003; Zbl 1065.60106)
Mitropol’skyj, Yu. O.; Samoilenko, A. M.; Skorokhod, A. V.; Korolyuk, V. S.; Perestyuk, M. O.; Portenko, M. I.; Kozachenko, Yu. V.; Buldygin, V. V.; Sheremeta, M. M. Mykhajlo Josypovych Yadrenko (on his 70-th birthday). (English. Ukrainian original) Zbl 1029.01525 Ukr. Math. J. 54, No. 4, 533-535 (2002); translation from Ukr. Mat. Zh. 54, No. 4, 435-438 (2002). MSC: 01A70 PDFBibTeX XMLCite \textit{Yu. O. Mitropol'skyj} et al., Ukr. Mat. Zh. 54, No. 4, 435--438 (2002; Zbl 1029.01525); translation from Ukr. Mat. Zh. 54, No. 4, 435--438 (2002)
Arjasova, O. V.; Portenko, M. I. The Wiener process on the plane with membranes located on two straight lines as an oblique product of two random processes of a module and a phase. (Ukrainian) Zbl 0988.60022 Nelinijni Kolyvannya 3, No. 1, 7-12 (2000). Reviewer: R. K. Azimov (Andizhan) MSC: 60G07 60K40 PDFBibTeX XMLCite \textit{O. V. Arjasova} and \textit{M. I. Portenko}, Neliniĭni Kolyvannya 3, No. 1, 7--12 (2000; Zbl 0988.60022)
Portenko, Mykola I.; Salehi, Habib; Skorokhod, Anatolii V. On large deviations for dynamical systems randomly perturbed by a fast Markov process. (English) Zbl 0988.60011 Theory Stoch. Process. 6(22), No. 1-2, 125-135 (2000). Reviewer: Mikhail Moklyachuk (Kyïv) MSC: 60F10 PDFBibTeX XMLCite \textit{M. I. Portenko} et al., Theory Stoch. Process. 6(22), No. 1--2, 125--135 (2000; Zbl 0988.60011)
Portenko, N. I. A probabilistic representation for the solution of a problem of mathematical physics. (English) Zbl 0971.60072 Ukr. Math. J. 52, No. 9, 1457-1469 (2000) and Ukr. Mat. Zh. 52, No. 9, 1272-1282 (2000). Reviewer: A.V.Swishchuk (Kyïv) MSC: 60J65 60H10 60J55 58J65 PDFBibTeX XMLCite \textit{N. I. Portenko}, Ukr. Mat. Zh. 52, No. 9, 1272--1282 (2000; Zbl 0971.60072) Full Text: DOI
Kovalenko, I. M.; Korolyuk, V. S.; Portenko, M. I.; Samojlenko, A. M.; Syta, G. M.; Yadrenko, M. I. Anatolij Vladimirovich Skorokhod (on his 70th birthday). (English. Ukrainian original) Zbl 0972.01038 Ukr. Math. J. 52, No. 9, 1321-1323 (2000); translation from Ukr. Mat. Zh. 52, No. 9, 1155-1157 (2000). Reviewer: A.V.Swishchuk (Kyïv) MSC: 01A70 60-03 60H25 60H10 PDFBibTeX XMLCite \textit{I. M. Kovalenko} et al., Ukr. Mat. Zh. 52, No. 9, 1155--1157 (2000; Zbl 0972.01038); translation from Ukr. Mat. Zh. 52, No. 9, 1155--1157 (2000)
Korolyuk, V. (ed.); Portenko, N. (ed.); Syta, H. (ed.) Skorokhod’s ideas in probability theory. (English) Zbl 0956.00022 Proceedings of the Institute of Mathematics of the National Academy of Sciences of Ukraine. Mathematics and its Applications. 32. Kyïv: Institute of Mathematics of NAS of Ukraine. 336 p. (2000). MSC: 00B15 60-06 PDFBibTeX XMLCite \textit{V. Korolyuk} (ed.) et al., Skorokhod's ideas in probability theory. Kyïv: Institute of Mathematics of NAS of Ukraine (2000; Zbl 0956.00022)
Portenko, N.; Salehi, A.; Skorokhod, A. Filtering in multitarget systems with discrete time observations. (English) Zbl 0955.60042 Random Oper. Stoch. Equ. 7, No. 3, 207-214 (1999). Reviewer: L.Sakhno (Kyïv) MSC: 60G35 PDFBibTeX XMLCite \textit{N. Portenko} et al., Random Oper. Stoch. Equ. 7, No. 3, 207--214 (1999; Zbl 0955.60042) Full Text: DOI
Portenko, Nikolaj I. On multidimensional skew Brownian motion and the Feynman-Kac formula. (English) Zbl 0943.60073 Theory Stoch. Process. 4(20), No. 1-2, 60-70 (1998). Reviewer: Yu.V.Kozachenko (Kyïv) MSC: 60J60 60J25 PDFBibTeX XMLCite \textit{N. I. Portenko}, Theory Stoch. Process. 4(20), No. 1--2, 60--70 (1998; Zbl 0943.60073)
Portenko, N.; Salehi, H.; Skorokhod, A. Optimal filtering in target tracking in presence of uniformly distributed errors and false targets. (English) Zbl 0928.60035 Random Oper. Stoch. Equ. 6, No. 3, 213-240 (1998). Reviewer: Yu.V.Kozachenko (Kyïv) MSC: 60G35 93E11 PDFBibTeX XMLCite \textit{N. Portenko} et al., Random Oper. Stoch. Equ. 6, No. 3, 213--240 (1998; Zbl 0928.60035) Full Text: DOI
Portenko, Nikolai I. One class of transformations of a symmetric stable process. (English) Zbl 0934.60036 Theory Stoch. Process. 3(19), No. 3-4, 373-387 (1997). Reviewer: A.V.Swishchuk (Kyïv) MSC: 60G20 60G48 60G44 PDFBibTeX XMLCite \textit{N. I. Portenko}, Theory Stoch. Process. 3(19), No. 3--4, 373--387 (1997; Zbl 0934.60036)
Durdyev, A. K.; Portenko, M. I. On the number of crossings of an elastic absorbing membrane on a hyperplane by a Brownian motion. (English. Ukrainian original) Zbl 0928.60060 Theory Probab. Math. Stat. 56, 67-80 (1998); translation from Teor. Jmovirn. Mat. Stat. 56, 67-80 (1997). Reviewer: A.V.Swishchuk (Kyïv) MSC: 60J60 60J65 PDFBibTeX XMLCite \textit{A. K. Durdyev} and \textit{M. I. Portenko}, Teor. Ĭmovirn. Mat. Stat. 56, 67--80 (1997; Zbl 0928.60060); translation from Teor. Jmovirn. Mat. Stat. 56, 67--80 (1997)
Portenko, Nicolai; Salehi, Habib; Skorokhod, Anatoli On optimal filtering of multitarget tracking systems based on point processes observations. (English) Zbl 0882.60039 Random Oper. Stoch. Equ. 5, No. 1, 1-34 (1997). Reviewer: A.Swishchuk (Kyïv) MSC: 60G35 60G55 PDFBibTeX XMLCite \textit{N. Portenko} et al., Random Oper. Stoch. Equ. 5, No. 1, 1--34 (1997; Zbl 0882.60039) Full Text: DOI
Portenko, Nikolai Diffusion in a medium with semi-transparent diaphragms. (English) Zbl 0864.60068 Engelbert, Hans-Jürgen (ed.) et al., Stochastic processes and related topics. Proceedings of the 10th winter school, Siegmundsberg, Germany, March 13–19, 1994. Amsterdam: Gordon and Breach Publishers. Stochastics Monogr. 10, 117-128 (1996). MSC: 60J70 PDFBibTeX XMLCite \textit{N. Portenko}, Stochastics Monogr. 10, 117--128 (1996; Zbl 0864.60068)
Portenko, N. I. On some perturbations of symmetric stable processes. (English) Zbl 0962.60065 Watanabe, S. (ed.) et al., Probability theory and mathematical statistics. Proceedings of the seventh Japan-Russia symposium, Tokyo, Japan, July 26-30, 1995. Singapore: World Scientific. 414-422 (1996). Reviewer: Anatoly N.Kochubei (Kiev) MSC: 60J35 60G52 47D07 35S10 PDFBibTeX XMLCite \textit{N. I. Portenko}, in: Probability theory and mathematical statistics. Proceedings of the seventh Japan-Russia symposium, Tokyo, Japan, July 26--30, 1995. Singapore: World Scientific. 414--422 (1996; Zbl 0962.60065)
Portenko, Nikolai I. On some transformations of the transition probability density of a symmetric stable process. (English) Zbl 0893.60046 Theory Stoch. Process. 2(18), No. 1-2, 74-80 (1996). MSC: 60J35 60J60 60J25 PDFBibTeX XMLCite \textit{N. I. Portenko}, Theory Stoch. Process. 2(18), No. 1--2, 74--80 (1996; Zbl 0893.60046)
Portenko, M. I. Diffusion processes in media with membranes. (Protsesi difuzīï v seredovishchakh z membranami.) (Ukrainian) Zbl 0888.60068 Trudi Institutu Matematiki Natsīonal’noï Akademīï Nauk Ukraïni. 10. Kiev: Īnstitut Matematiki NAN Ukraïni. 200 p. (1995). MSC: 60J60 60-02 35K20 35Q99 PDFBibTeX XMLCite \textit{M. I. Portenko}, Protsesi difuzīï v seredovishchakh z membranami (Ukrainian). Kiev: Īnstitut Matematiki NAN Ukraïni (1995; Zbl 0888.60068)
Podolynny, S. I.; Portenko, N. I. On multidimensional stable processes with locally unbounded drift. (English) Zbl 0832.60066 Random Oper. Stoch. Equ. 3, No. 2, 113-124 (1995). Reviewer: V.Mackevičius (Vilnius) MSC: 60H10 60E07 60G18 PDFBibTeX XMLCite \textit{S. I. Podolynny} and \textit{N. I. Portenko}, Random Oper. Stoch. Equ. 3, No. 2, 113--124 (1995; Zbl 0832.60066) Full Text: DOI
Durdiyev, A. K.; Portenko, N. I. The number of crossings through a hyperplane by some generalized diffusion process. (English) Zbl 0960.60042 Skorokhod, A. V. (ed.) et al., Exploring stochastic laws. Festschrift in honour of the 70th birthday of Academician Vladimir Semenovich Korolyuk. Utrecht: VSP. 121-128 (1995). MSC: 60G17 60J60 PDFBibTeX XMLCite \textit{A. K. Durdiyev} and \textit{N. I. Portenko}, in: Exploring stochastic laws. Festschrift in honour of the 70th birthday of Academician Vladimir Semenovich Korolyuk. Utrecht: VSP. 121--128 (1995; Zbl 0960.60042)
Löbus, J.-U.; Portenko, M. I. On a class of perturbed generators of stable processes. (English. Ukrainian original) Zbl 0943.60067 Theory Probab. Math. Stat. 52, 109-118 (1996); translation from Teor. Jmovirn. Mat. Stat. 52, 102-111 (1995). Reviewer: A.V.Swishchuk (Kyïv) MSC: 60J35 47D03 35S10 47D07 60J65 60J60 PDFBibTeX XMLCite \textit{J. U. Löbus} and \textit{M. I. Portenko}, Teor. Ĭmovirn. Mat. Stat. 52, 102--111 (1995; Zbl 0943.60067); translation from Teor. Jmovirn. Mat. Stat. 52, 102--111 (1995)
Portenko, N. I.; Spivak, G. L. Hilbert space valued Brownian motion with partial reflection on a hyperplane. (English) Zbl 0936.60063 Àrato, M. (ed.) et al., New trends in probability and mathematical statistics. Proceedings of the second Ukrainian-Hungarian conference, Mukachevo, Ukraine, September 25-October 1, 1992. Kiev: TViMS. Teor. Veroyatn. Mat. Stat./Probab. Theory Math. Stat. 2, 410-416 (1995). Reviewer: Yu.V.Kozachenko (Kyïv) MSC: 60J25 60J65 PDFBibTeX XMLCite \textit{N. I. Portenko} and \textit{G. L. Spivak}, in: New trends in probability and mathematical statistics. Proceedings of the second Ukrainian-Hungarian conference, Mukachevo, Ukraine, September 25--October 1, 1992. Kiev: TViMS. 410--416 (1995; Zbl 0936.60063)
Portenko, N. I. Diffusion in media with semi-transparent membranes. (Difuzīya v seredovishchakh z napīvprozorimi membranami.) (Ukrainian) Zbl 0885.60068 Trudi Institutu Matematiki Natsīonal’noï Akademīï Nauk Ukraïni. 8. Kiïv: Institut Matematiki NAN Ukraïni. 136 p. (1994). Reviewer: E.Kazarovitsky (Kyïv) MSC: 60J60 60-01 35Q53 35K57 PDFBibTeX XMLCite \textit{N. I. Portenko}, Difuzīya v seredovishchakh z napīvprozorimi membranami (Ukrainian). Kiïv: Institut Matematiki NAN Ukraïni (1994; Zbl 0885.60068)
Portenko, N. I. The development of I. I. Gikham’s idea concerning the methods for investigating local behavior of diffusion processes and their weakly convergent sequences. (English. Russian original) Zbl 0869.60071 Theory Probab. Math. Stat. 50, 7-22 (1995); translation from Teor. Jmovirn. Mat. Stat. 50, 6-21 (1994). Reviewer: V.Mackevičius (Vilnius) MSC: 60J60 58J65 60-02 PDFBibTeX XMLCite \textit{N. I. Portenko}, Theory Probab. Math. Stat. 50, 1 (1994; Zbl 0869.60071); translation from Teor. Jmovirn. Mat. Stat. 50, 6--21 (1994)
Portenko, N. I. Some perturbations of drift-type for symmetric stable processes. (English) Zbl 0839.60056 Random Oper. Stoch. Equ. 2, No. 3, 211-224 (1994). MSC: 60H10 60E07 PDFBibTeX XMLCite \textit{N. I. Portenko}, Random Oper. Stoch. Equ. 2, No. 3, 211--224 (1994; Zbl 0839.60056) Full Text: DOI
Goshko, L. V.; Portenko, N. I. Limit theorems for the number of crossings of a fixed plane by certain sequences of generalized diffusion processes. (English. Ukrainian original) Zbl 0841.60061 Ukr. Math. J. 46, No. 4, 373-388 (1994); translation from Ukr. Mat. Zh. 46, No. 4, 357-371 (1994). Reviewer: N.S.Bratijchuk (Kiev) MSC: 60J60 60F05 PDFBibTeX XMLCite \textit{L. V. Goshko} and \textit{N. I. Portenko}, Ukr. Math. J. 46, No. 4, 373--388 (1994; Zbl 0841.60061); translation from Ukr. Mat. Zh. 46, No. 4, 357--371 (1994) Full Text: DOI
Portenko, Nikolai Diffusion processes in a medium with semi-transparent diaphragms. (English) Zbl 0837.60074 Portenko, M. I. (ed.) et al., Some problems of the modern theory of differential equations. Kiev: Ukrainian National Academy of Sciences. Institute of Mathematics, Natl. Acad. Sci. Ukr., Kiev (UA). Inst. Math. Prepr. 94.29, 3-13 (1994). Reviewer: A.A.Dorogovtsev (Kiev) MSC: 60J60 60H10 35R05 PDFBibTeX XMLCite \textit{N. Portenko}, Diffusion processes in a medium with semi-transparent diaphragms. Kiev: Ukrainian National Academy of Sciences. Institute of Mathematics (1994; Zbl 0837.60074)
Portenko, M. I. (ed.); Radzievskij, G. V. (ed.); Samojlenko, A. M. (ed.) Some problems of the modern theory of differential equations. (English) Zbl 0802.00008 National Academy of Sciences of Ukraine, Kiev (UA). Inst. of Mathematics. Preprint. 94.29. Kiev: Ukrainian National Academy of Sciences. Institute of Mathematics, 44 p. (1994). MSC: 00B15 34-06 35-06 PDFBibTeX XMLCite \textit{M. I. Portenko} (ed.) et al., Some problems of the modern theory of differential equations. Kiev: Ukrainian National Academy of Sciences. Institute of Mathematics (1994; Zbl 0802.00008)
Goshko, L. V.; Portenko, M. I. Limit theorems for a number of intersections of some surface by a sequence of diffusion processes. (Ukrainian) Zbl 0890.60071 Dopov. Akad. Nauk Ukr. 1993, No. 6, 29-34 (1993). Reviewer: A.A.Martynyuk (Kyïv) MSC: 60J60 60B12 PDFBibTeX XMLCite \textit{L. V. Goshko} and \textit{M. I. Portenko}, Dopov. Akad. Nauk Ukr. 1993, No. 6, 29--34 (1993; Zbl 0890.60071)
Portenko, N. I. On the theory of diffusion processes. (English) Zbl 0817.60083 Shiryaev, A. N. (ed.) et al., Probability theory and mathematical statistics. Proceedings of the 6th USSR-Japan symposium, Kiev, USSR, 5-10 August, 1991. Singapore: World Scientific. 259-267 (1992). MSC: 60J60 PDFBibTeX XMLCite \textit{N. I. Portenko}, in: Probability theory and mathematical statistics. Proceedings of the 6th USSR-Japan symposium, Kiev, USSR, 5-10 August, 1991. Singapore: World Scientific. 259--267 (1992; Zbl 0817.60083)
Korolyuk, V. S.; Portenko, N. I. A. V. Skorokhod’s investigations in the area of limit theorems for random processes and the theory of stochastic differential equations. (English. Russian original) Zbl 0742.60001 Ukr. Math. J. 42, No. 9, 1029-1040 (1990); translation from Ukr. Mat. Zh. 42, No. 9, 1157-1170 (1990). Reviewer: P.Holicky (Praha) MSC: 60-03 01A60 60H10 60F17 PDFBibTeX XMLCite \textit{V. S. Korolyuk} and \textit{N. I. Portenko}, Ukr. Math. J. 42, No. 9, 1029--1040 (1990; Zbl 0742.60001); translation from Ukr. Mat. Zh. 42, No. 9, 1157--1170 (1990) Full Text: DOI
Portenko, N. I. [McFaden, Harold] Generalized diffusion processes. Transl. from the Russian by H. H. McFaden. (English) Zbl 0727.60088 Translations of Mathematical Monographs, 83. Providence, RI: American Mathematical Society (AMS). ix, 180 p. $ 81.00 (1990). Reviewer: R.Manthey (Jena) MSC: 60J60 60-02 60H10 PDFBibTeX XMLCite \textit{N. I. Portenko}, Generalized diffusion processes. Transl. from the Russian by H. H. McFaden. Providence, RI: American Mathematical Society (1990; Zbl 0727.60088)
Portenko, N. I.; Skorokhod, A. V.; Shurenkov, V. M. Markov processes. (Russian) Zbl 0727.60071 Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Fundam. Napravleniya 46, 248 p. (1989). Reviewer: Z.G.Gorgadze (Tbilisi) MSC: 60Jxx 60-02 PDFBibTeX XML
Efimenko, S. V.; Portenko, N. I. On the distribution of the number of intersections of a delay screen by a process sewn of two processes of Brownian motion. (Russian) Zbl 0718.60095 Stochastic analysis and its application, Collect. Sci. Works, Kiev, 55-63 (1989). Reviewer: W.Schenk (Dresden) MSC: 60J65 60J35 PDFBibTeX XML
Efimenko, S. V.; Portenko, N. I. On the number of intersections of a fixed level by a stochastic process. (Russian) Zbl 0712.60089 Statistics and control of stochastic processes, Collect. Artic., Moskva, 70-75 (1989). Reviewer: I.C.Vladimirescu MSC: 60J60 PDFBibTeX XML
Efimenko, S. V.; Portenko, N. I. Sojourn time type functionals of a process obtained by pasting together two Brownian motion processes. (English. Russian original) Zbl 0691.60068 Ukr. Math. J. 41, No. 1, 25-29 (1989); translation from Ukr. Mat. Zh. 41, No. 1, 29-33 (1989). Reviewer: A.D.Borisenko MSC: 60J55 60J65 PDFBibTeX XMLCite \textit{S. V. Efimenko} and \textit{N. I. Portenko}, Ukr. Math. J. 41, No. 1, 25--29 (1989; Zbl 0691.60068); translation from Ukr. Mat. Zh. 41, No. 1, 29--33 (1989) Full Text: DOI
Al’Farahk, Kh.; Portenko, N. I. On the number of crossings of a fixed level by a transient diffusion process. (Russian) Zbl 0739.60068 Selected problems of the modern theory of stochastic processes, Collect. Sci. Works, 4-12 (1988). MSC: 60J60 PDFBibTeX XMLCite \textit{Kh. Al'Farahk} and \textit{N. I. Portenko}, in: Selected problems of the modern theory of stochastic processes, Collect. Sci. Works, . 4--12 (1988; Zbl 0739.60068)
Portenko, N.; Yefimenko, S. On the number of crossings of a partly reflecting hyperplane by a multidimensional Wiener process. (English) Zbl 0652.60087 Stochastic differential systems, Proc. IFIP-WG 7/1 Work. Conf., Eisenach/GDR 1986, Lect. Notes Control Inf. Sci. 96, 194-203 (1987). Reviewer: D.Nualart MSC: 60J65 60J25 60F05 PDFBibTeX XML
Efimenko, S. V.; Portenko, N. I. On the number of intersections of a partially reflecting screen by a Wiener process. (Russian) Zbl 0628.60074 Probabilistic methods for the investigation of systems with an infinite number of degrees of freedom, Collect. sci. Works, Kiev 1986, 57-64 (1986). Reviewer: A.M.Zapala MSC: 60J25 60F05 60J65 PDFBibTeX XML
Portenko, N. I. On the theory of the generalized diffusion. (English) Zbl 0603.60049 Stochastic differential systems, Proc. 3rd Bad Honnef Conf. 1985, Lect. Notes Control Inf. Sci. 78, 330-341 (1986). Reviewer: O.Enchev MSC: 60H10 60J60 PDFBibTeX XML
Mirzoeva, T. M.; Portenko, N. I. Limit theorems for functionals of irreversible random walks. (English. Russian original) Zbl 0661.60086 Ukr. Math. J. 37, 55-63 (1985); translation from Ukr. Mat. Zh. 37, No. 1, 64-74 (1985). MSC: 60G50 60F17 PDFBibTeX XMLCite \textit{T. M. Mirzoeva} and \textit{N. I. Portenko}, Ukr. Math. J. 37, 55--63 (1985; Zbl 0661.60086); translation from Ukr. Mat. Zh. 37, No. 1, 64--74 (1985) Full Text: DOI
Korolyuk, V. S.; Portenko, N. I.; Skorokhod, A. V.; Turbin, A. F. A manual on probability theory and mathematical statistics. (Spravochnik po teorii veroyatnostej i matematicheskoj statistike). 2nd ed., rev. and compl. (Russian) Zbl 0608.60001 Moskva: “Nauka”. Glavnaya Redaktsiya Fiziko-Matematicheskoj Literatury. 640 p. R. 2.50 (1985). MSC: 60-01 62-01 PDFBibTeX XML
Lobanov, K. A.; Portenko, N. I. Limit theorem for random walks with reflection. (Russian) Zbl 0595.60028 Stochastic processes. Theory and practice, Collect. sci. Works, Kiev 1985, 72-82 (1985). Reviewer: O.K.Zakusilo MSC: 60F05 60F17 60J05 PDFBibTeX XML
Mirzoeva, T. M.; Portenko, N. I. Limit theorems for functionals of transient random walks. (Russian) Zbl 0566.60069 Ukr. Mat. Zh. 37, No. 1, 64-74 (1985). Reviewer: V.M.Kruglov MSC: 60G50 60F17 PDFBibTeX XMLCite \textit{T. M. Mirzoeva} and \textit{N. I. Portenko}, Ukr. Mat. Zh. 37, No. 1, 64--74 (1985; Zbl 0566.60069) Full Text: DOI
Mirzoeva, T. M.; Portenko, N. I. Limit distribution of functionals of non-recurrent random walks turning into the recurrent ones at the limit. (Russian) Zbl 0605.60065 Some questions of the theory of stochastic processes, Collect. sci. Works, Kiev 1984, 79-96 (1984). Reviewer: I.Cuculescu MSC: 60G50 60E10 60F99 PDFBibTeX XML
Korolyuk, V. S.; Portenko, N. I.; Skorokhod, A. V.; Turbin, A. F. Aide-mémoire de théorie des probabilités et de statistique mathématique. Traduit du russe par Djilali Embarek. (French) Zbl 0546.60002 Moscou: Editions Mir. 581 p. R. 3.70 (1983). Reviewer: S.Piccard MSC: 60-01 62-01 PDFBibTeX XML
Mirzoeva, T. M.; Portenko, N. I. Asymptotic expansion of the potential kernel for a class of transient random walks. (Russian) Zbl 0537.60063 Problems of the theory of probability distributions, Collect. sci. Works, Kiev 1983, 78-92 (1983). Reviewer: K.Schürger MSC: 60G50 60J45 PDFBibTeX XML
Kopytko, B. I.; Portenko, N. I. Analytical methods of pasting together of diffusion processes. (English) Zbl 0531.60073 Probability theory and mathematical statistics, Proc. 4th USSR-Jap. Symp., Tbilisi/USSR 1982, Lect. Notes Math. 1021, 318-326 (1983). Reviewer: I.Vladimirescu MSC: 60J60 58J65 60H25 60J65 PDFBibTeX XML
Portenko, N. I. Generalized diffusion processes. (Obobshchennye diffuzionnye protsessy.) (Russian) Zbl 0727.60089 Kiev: Naukova Dumka. 208 p. R. 1.70 (1982). MSC: 60J60 60-02 60H10 PDFBibTeX XMLCite \textit{N. I. Portenko}, Obobshchennye diffuzionnye protsessy (Russian). Kiev: Naukova Dumka (1982; Zbl 0727.60089)
Kopytko, B. I.; Portenko, N. I. A remark concerning the processes sewn of two processes of Brownian motion. (Russian) Zbl 0531.60074 Some questions of the theory of stochastic processes, Collect. sci. Work Kiev 1982, 67-79 (1982). Reviewer: L.Podkaminer MSC: 60J65 60H25 PDFBibTeX XML
Mirzoeva, T. M.; Portenko, N. I. On the kernel of the potential of an irreversible random walk. (Russian) Zbl 0507.60060 Probabilistic infinite dimensional analysis, Collect. sci. Works, Kiev 1981, 74-83 (1981). MSC: 60G50 60J45 PDFBibTeX XML
Portenko, N. I. Stochastic differential equations with generalized drift vector. (English) Zbl 0434.60062 Theory Probab. Appl. 24, 338-353 (1980). MSC: 60H10 PDFBibTeX XMLCite \textit{N. I. Portenko}, Theory Probab. Appl. 24, 338--353 (1980; Zbl 0434.60062) Full Text: DOI
Portenko, N. I. Diffusion processes with generalized drift coefficients. (English) Zbl 0432.60094 Theory Probab. Appl. 24, 62-78 (1979). MSC: 60J60 46F99 PDFBibTeX XMLCite \textit{N. I. Portenko}, Theory Probab. Appl. 24, 62--78 (1979; Zbl 0432.60094) Full Text: DOI
Portenko, N. I. Stochastic differential equations with generalized drift vector. (Russian) Zbl 0415.60055 Teor. Veroyatn. Primen. 24, 332-347 (1979). MSC: 60H10 PDFBibTeX XMLCite \textit{N. I. Portenko}, Teor. Veroyatn. Primen. 24, 332--347 (1979; Zbl 0415.60055)
Portenko, N. I. Diffusion processes with generalized drift coefficient. (Russian) Zbl 0396.60071 Teor. Veroyatn. Primen. 24, 62-77 (1979). MSC: 60J60 46F99 PDFBibTeX XMLCite \textit{N. I. Portenko}, Teor. Veroyatn. Primen. 24, 62--77 (1979; Zbl 0396.60071)
Portenko, N. I. Generalized diffusion processes. (English) Zbl 0387.60086 Proc. 3rd Japan-USSR Symp. Probab. Theory, Taschkent 1975, Lect. Notes Math. 550, 500-523 (1976). MSC: 60J60 PDFBibTeX XML
Portenko, N. I. Zur Theorie der stochastischen Differentialgleichungen. (Russian) Zbl 0369.60075 Teor. Sluch. Protsess. 4, 72-80 (1976). MSC: 60H10 34F05 PDFBibTeX XML
Portenko, N. I. Some limit theorems for additive functionals of processes with independent increments. (English) Zbl 0348.60103 Theor. Probab. math. Statist. 4 (1971, 1974), 121-126 (1976). MSC: 60J99 60F99 PDFBibTeX XML
Portenko, N. I. Diffusion processes with unbounded drift coefficient. (English. Russian original) Zbl 0335.60050 Theory Probab. Appl. 20, 27-37 (1975); translation from Teor. Veroyatn. Primen. 20, 29-39 (1975). MSC: 60J60 PDFBibTeX XMLCite \textit{N. I. Portenko}, Theory Probab. Appl. 20, 27--37 (1975; Zbl 0335.60050); translation from Teor. Veroyatn. Primen. 20, 29--39 (1975) Full Text: DOI
Portenko, N. I. On the Cauchy problem for second order parabolic equations. (Über das Cauchyproblem für parabolische Gleichungen zweiter Ordnung.) (Russian) Zbl 0312.35039 Teor. Sluch. Protsess. 3, 92-104 (1975). MSC: 35K15 35B30 35D30 PDFBibTeX XML
Gikhman, I. I. (ed.); Lin’kov, Yu. N. (ed.); Danilyuk, I. I. (ed.); Portenko, N. I. (ed.); Skorokhod, A. V. (ed.) Theory of random processes. Vol. 3. (Теория случайных процессов. Вып. 3. Республиканский межведомственный сборник.) (Russian) Zbl 0296.00013 Kiev: ”Naukova Dumka”. 160 p. (1975). MSC: 00B15 60-06 PDFBibTeX XML
Portenko, N. I. On the existence of solutions of stochastic differential equations with integrable drift coefficient. (English. Russian original) Zbl 0353.60065 Theory Probab. Appl. 19(1974), 552-557 (1975); translation from Teor. Veroyatn. Primen. 19, 577-582 (1974). MSC: 60H20 PDFBibTeX XMLCite \textit{N. I. Portenko}, Theory Probab. Appl. 19, 552--557 (1974; Zbl 0353.60065); translation from Teor. Veroyatn. Primen. 19, 577--582 (1974) Full Text: DOI
Portenko, N. I. Asymptotic behavior of the kernel of the potential of a one-dimensional irreversible random walk. (English. Russian original) Zbl 0325.60062 Ukr. Math. J. 26, 18-26 (1974); translation from Ukr. Mat. Zh. 26, 25-36 (1974). MSC: 60G50 60J45 PDFBibTeX XMLCite \textit{N. I. Portenko}, Ukr. Math. J. 26, 18--26 (1974; Zbl 0325.60062); translation from Ukr. Mat. Zh. 26, 25--36 (1974) Full Text: DOI
Portenko, N. I. On limit theorems for functionals of nonrecurrent Markov chains. (Über Grenzwertsätze für Funktionale von Markovschen Ketten ohne Rückkehr.) (Russian) Zbl 0323.60065 Teor. Sluch. Protsess. 2, 73-80 (1974). MSC: 60J10 60F05 PDFBibTeX XML
Portenko, N. I.; Prokopenko, L. N. A method of proving limit theorems for functionals of random walks. (English) Zbl 0303.60060 Theor. stoch. Processes, No. 1, 122-135 (1974). MSC: 60G50 60F99 PDFBibTeX XML
Gikhman, I. I. (ed.); Lin’kov, Yu. N. (ed.); Danilyuk, I. I. (ed.); Portenko, N. I. (ed.); Skorokhod, A. V. (ed.) Theory of random processes. Vol. 2. (Теория случайных процессов. Вып. 2. Республиканский межведомственный сборник.) (Russian) Zbl 0273.00004 Kiev: ”Naukova Dumka”. 140 p. (1974). MSC: 00B15 60-06 PDFBibTeX XML
Portenko, N. I. Nonnegative additive functionals of Markov processes and certain limit theorems. (Nichtnegative adaptive Funktionale Markovscher Prozesse und einige Grenzwertsätze.) (Russian) Zbl 0334.60033 Teor. Sluch. Protsess. 1, 86-107 (1973). MSC: 60J25 60J55 PDFBibTeX XML
Skorokhod, A. V. (ed.) [Afanas’eva, L. G.; Karpenko, L. D.; Petunin, Yu. I.; Chorayan, O. G.; Boĭko, R. V.; Butsan, G. P.; Bu The Hyu; Gadzhiev, V. G.; Gusak, D. V.; Dotsenko, V. S.; Dorogovtsev, A. Ya.; Ibramkhalilov, I. Sh.; Ivanov, A. V.; Knopov, P. S.; Shtatland, È. S.; Kononchuk, L. P.; Rakhimov, G.; Kuk, Yu. V.; Pisanets, S. I.; Portenko, N. I.; Skorokhod, A. V.; Slobodenyuk, N. P.; Hacet, S. V.; Yadrenko, M. I.; Yuditskiĭ, M. I.] Questions of statistics and of the control of random processes. (Вопросы статистики и управления случайными процессами. Fragen der Statistik und Steuerung zufälliger Prozesse.) (Russian) Zbl 0329.62067 Kiev: Izdanie Instituta Matematiki AN USSR. 276 S. R. 1.32 (1973). MSC: 62-06 60-06 00B15 62Mxx 60Gxx 93E10 60Jxx 93E20 62J05 92B05 62K05 PDFBibTeX XML
Portenko, N. I.; Prokopenko, L. N. A certain method of proving limit theorems for functionals of random walks. (Über eine Methode zum Beweis von Grenzwertsätzen für Funktionale von Irrfahrten.) (Russian) Zbl 0296.60047 Teor. Sluch. Protsess. 1, 107-119 (1973). Reviewer: L. Partzsch MSC: 60G50 60F05 PDFBibTeX XML