Dorogovtsev, A. A.; Salhi, Naoufel Refinements of asymptotics at zero of Brownian self-intersection local times. (English) Zbl 07909541 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 27, No. 2, Article ID 2350018, 24 p. (2024). MSC: 60G15 60H05 60H40 60J55 PDFBibTeX XMLCite \textit{A. A. Dorogovtsev} and \textit{N. Salhi}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 27, No. 2, Article ID 2350018, 24 p. (2024; Zbl 07909541) Full Text: DOI arXiv
Dorogovtsev, A. A.; Kalytyuk, D. M.; Nishchenko, I. I. Asymptotic behaviour of the complexity index of growing random trees. (Ukrainian. English summary) Zbl 07877793 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2024, No. 3, 3-10 (2024). MSC: 05C80 60C05 60J20 05C05 05C09 92E10 05C92 PDFBibTeX XMLCite \textit{A. A. Dorogovtsev} et al., Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2024, No. 3, 3--10 (2024; Zbl 07877793) Full Text: DOI
Dorogovtsev, Andrey; Han, Yuecai; Hlyniana, Kateryna; Li, Yuhang Optimal Filtering for Interacting Particle Systems. arXiv:2409.00126 Preprint, arXiv:2409.00126 [math.OC] (2024). BibTeX Cite \textit{A. Dorogovtsev} et al., ``Optimal Filtering for Interacting Particle Systems'', Preprint, arXiv:2409.00126 [math.OC] (2024) Full Text: arXiv OA License
Dorogovtsev, Andrey; Konarovskyi, Vitalii; von Renesse, Max A Central Limit Theorem for Modified Massive Arratia Flow. arXiv:2408.05030 Preprint, arXiv:2408.05030 [math.PR] (2024). MSC: 60F05 60K35 60H40 60G57 BibTeX Cite \textit{A. Dorogovtsev} et al., ``A Central Limit Theorem for Modified Massive Arratia Flow'', Preprint, arXiv:2408.05030 [math.PR] (2024) Full Text: arXiv OA License
Dorogovtsev, Andrey A.; Salhi, Naoufel Large deviation principle for generalized multiple intersection local times of multidimensional Brownian motion. arXiv:2406.07173 Preprint, arXiv:2406.07173 [math.PR] (2024). BibTeX Cite \textit{A. A. Dorogovtsev} and \textit{N. Salhi}, ``Large deviation principle for generalized multiple intersection local times of multidimensional Brownian motion'', Preprint, arXiv:2406.07173 [math.PR] (2024) Full Text: arXiv OA License
Dorogovtsev, Andrey A.; Han, Yuecai; Hlyniana, Kateryna; Li, Yuhang Maximum principle for optimal control of interacting particle system: stochastic flow model. arXiv:2401.08075 Preprint, arXiv:2401.08075 [math.PR] (2024). BibTeX Cite \textit{A. A. Dorogovtsev} et al., ``Maximum principle for optimal control of interacting particle system: stochastic flow model'', Preprint, arXiv:2401.08075 [math.PR] (2024) Full Text: arXiv OA License
Dorogovtsev, Andrey Anatoliyevich; Weiss, Alexander Intermittency phenomena for mass distributions of stochastic flows with interaction. (English) Zbl 1532.60119 Stoch. Dyn. 23, No. 7, Article ID 2350056, 35 p. (2023). MSC: 60H10 60H15 60H25 60F10 37H15 PDFBibTeX XMLCite \textit{A. A. Dorogovtsev} and \textit{A. Weiss}, Stoch. Dyn. 23, No. 7, Article ID 2350056, 35 p. (2023; Zbl 1532.60119) Full Text: DOI arXiv
Dorogovtsev, Andrey A.; Vovchanskyi, Mykola B. On 1-point densities for Arratia flows with drift. (English) Zbl 07800076 Stochastics 95, No. 8, 1429-1445 (2023). MSC: 60H10 60G55 35C10 PDFBibTeX XMLCite \textit{A. A. Dorogovtsev} and \textit{M. B. Vovchanskyi}, Stochastics 95, No. 8, 1429--1445 (2023; Zbl 07800076) Full Text: DOI arXiv
Dorogovtsev, A. A.; Hlyniana, K. V. Gaussian structure in coalescing stochastic flows. (English) Zbl 1529.60028 Stoch. Dyn. 23, No. 6, Article ID 2350048, 47 p. (2023). Reviewer: Fraser Daly (Edinburgh) MSC: 60F05 60H40 60G57 60J90 60J65 PDFBibTeX XMLCite \textit{A. A. Dorogovtsev} and \textit{K. V. Hlyniana}, Stoch. Dyn. 23, No. 6, Article ID 2350048, 47 p. (2023; Zbl 1529.60028) Full Text: DOI
Dorogovtsev, Andrey A. On a stationary random knot. arXiv:2303.09211 Preprint, arXiv:2303.09211 [math.PR] (2023). MSC: 60B99 60G60 60H10 BibTeX Cite \textit{A. A. Dorogovtsev}, ``On a stationary random knot'', Preprint, arXiv:2303.09211 [math.PR] (2023) Full Text: arXiv OA License
Dorogovtsev, A. A.; Nishchenko, I. I. An isonormal process associated with a Brownian motion. (Ukrainian. English summary) Zbl 1524.60101 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2022, No. 6, 10-16 (2022). MSC: 60G60 60J65 PDFBibTeX XMLCite \textit{A. A. Dorogovtsev} and \textit{I. I. Nishchenko}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2022, No. 6, 10--16 (2022; Zbl 1524.60101) Full Text: DOI OA License
Baxter, G. J.; da Costa, R. A.; Dorogovtsev, S. N.; Mendes, J. F. F. Weak percolation on multiplex networks with overlapping edges. (English) Zbl 1508.82022 Chaos Solitons Fractals 164, Article ID 112619, 12 p. (2022). MSC: 82B43 60K35 PDFBibTeX XMLCite \textit{G. J. Baxter} et al., Chaos Solitons Fractals 164, Article ID 112619, 12 p. (2022; Zbl 1508.82022) Full Text: DOI arXiv
Đorđević, Jasmina; Dorogovtsev, Andrey Backward Stochastic Differential Equations with interaction. arXiv:2212.13446 Preprint, arXiv:2212.13446 [math.PR] (2022). BibTeX Cite \textit{J. Đorđević} and \textit{A. Dorogovtsev}, ``Backward Stochastic Differential Equations with interaction'', Preprint, arXiv:2212.13446 [math.PR] (2022) Full Text: arXiv OA License
Baxter, Gareth J.; da Costa, Rui A.; Dorogovtsev, Sergey N.; Mendes, José F. F. Weak multiplex percolation. (English) Zbl 1517.82003 Elements in the Structure and Dynamics of Complex Networks. Cambridge: Cambridge University Press (ISBN 978-1-108-79107-6/pbk; 978-1-108-86577-7/ebook). 40 p. (2021). MSC: 82-02 60-02 82C43 60K35 05C90 PDFBibTeX XMLCite \textit{G. J. Baxter} et al., Weak multiplex percolation. Cambridge: Cambridge University Press (2021; Zbl 1517.82003) Full Text: DOI arXiv
Dorogovtsev, A. A. Stochastic flows and measure-valued processes. (Ukrainian. English summary) Zbl 1488.60141 Zb. Pr. Inst. Mat. NAN Ukr. 18, No. 1, 425-455 (2021). MSC: 60H10 60H40 60G57 PDFBibTeX XMLCite \textit{A. A. Dorogovtsev}, Zb. Pr. Inst. Mat. NAN Ukr. 18, No. 1, 425--455 (2021; Zbl 1488.60141)
Dorogovtsev, A. A.; Vovchanskii, M. B. On the approximations of point measures associated with the Brownian web by means of the fractional step method and discretization of the initial interval. (English. Ukrainian original) Zbl 1470.60149 Ukr. Math. J. 72, No. 9, 1358-1376 (2021); translation from Ukr. Mat. Zh. 72, No. 9, 1179-1194 (2020). MSC: 60H10 60K35 60G57 60G55 PDFBibTeX XMLCite \textit{A. A. Dorogovtsev} and \textit{M. B. Vovchanskii}, Ukr. Math. J. 72, No. 9, 1358--1376 (2021; Zbl 1470.60149); translation from Ukr. Mat. Zh. 72, No. 9, 1179--1194 (2020) Full Text: DOI arXiv
Dorogovtsev, A. A.; Glinynaya, E. V. Gaussian structure in coalescing stochastic flows. arXiv:2108.08785 Preprint, arXiv:2108.08785 [math.PR] (2021). MSC: 60F05 60H40 60G57 BibTeX Cite \textit{A. A. Dorogovtsev} and \textit{E. V. Glinynaya}, ``Gaussian structure in coalescing stochastic flows'', Preprint, arXiv:2108.08785 [math.PR] (2021) Full Text: arXiv OA License
Dorogovtsev, A. A.; Nishchenko, I. I. Loop-erased random walks associated with Markov processes. (English) Zbl 1488.60178 Theory Stoch. Process. 25, No. 2, 15-24 (2020). MSC: 60J10 60J67 PDFBibTeX XMLCite \textit{A. A. Dorogovtsev} and \textit{I. I. Nishchenko}, Theory Stoch. Process. 25, No. 2, 15--24 (2020; Zbl 1488.60178) Full Text: Link
Djordjević, Jasmina; Dorogovtsev, Andrey Clark representation formula for the solution to equation with interaction. (English) Zbl 1488.60171 Theory Stoch. Process. 25, No. 2, 9-14 (2020). MSC: 60H35 60H07 93E03 93E10 PDFBibTeX XMLCite \textit{J. Djordjević} and \textit{A. Dorogovtsev}, Theory Stoch. Process. 25, No. 2, 9--14 (2020; Zbl 1488.60171) Full Text: arXiv Link
Dorogovtsev, A. A.; Vovchanskii, N. B. Representations of the finite-dimensional point densities in Arratia flows with drift. (English) Zbl 1474.60147 Theory Stoch. Process. 25, No. 1, 25-36 (2020). MSC: 60H10 60G55 PDFBibTeX XMLCite \textit{A. A. Dorogovtsev} and \textit{N. B. Vovchanskii}, Theory Stoch. Process. 25, No. 1, 25--36 (2020; Zbl 1474.60147) Full Text: arXiv Link
Dorogovtsev, Andrey A.; Riabov, Georgii V.; Schmalfuß, Björn Stationary points in coalescing stochastic flows on \(\mathbb{R}\). (English) Zbl 1456.60114 Stochastic Processes Appl. 130, No. 8, 4910-4926 (2020). MSC: 60G51 60J60 37H15 PDFBibTeX XMLCite \textit{A. A. Dorogovtsev} et al., Stochastic Processes Appl. 130, No. 8, 4910--4926 (2020; Zbl 1456.60114) Full Text: DOI arXiv
Dorogovtsev, Andrey; Izyumtseva, Olga Hilbert-valued self-intersection local times for planar Brownian motion. (English) Zbl 1492.60228 Stochastics 91, No. 1, 143-154 (2019). MSC: 60J65 60J55 PDFBibTeX XMLCite \textit{A. Dorogovtsev} and \textit{O. Izyumtseva}, Stochastics 91, No. 1, 143--154 (2019; Zbl 1492.60228) Full Text: DOI arXiv
Dorogovtsev, Andrey; Izyumtseva, Olga Asymptotics of intersection local time for diffusion processes. (English) Zbl 1456.60195 Lith. Math. J. 59, No. 4, 519-534 (2019). MSC: 60J55 60G15 60G17 PDFBibTeX XMLCite \textit{A. Dorogovtsev} and \textit{O. Izyumtseva}, Lith. Math. J. 59, No. 4, 519--534 (2019; Zbl 1456.60195) Full Text: DOI
Dorogovtsev, A. A.; Izyumtseva, O. L.; Salhi, N. Clark representation for local times of self-intersection of Gaussian integrators. (English. Russian original) Zbl 1461.60055 Ukr. Math. J. 70, No. 12, 1829-1860 (2019); translation from Ukr. Mat. Zh. 70, No. 12, 1587-1614 (2018). MSC: 60H20 60H05 60G15 60H10 PDFBibTeX XMLCite \textit{A. A. Dorogovtsev} et al., Ukr. Math. J. 70, No. 12, 1829--1860 (2019; Zbl 1461.60055); translation from Ukr. Mat. Zh. 70, No. 12, 1587--1614 (2018) Full Text: DOI
Dorogovtsev, Andrey; Gnedin, Alexander; Izyumtseva, Olga Self-intersection local times of random fields in stochastic flows. arXiv:1910.09492 Preprint, arXiv:1910.09492 [math.PR] (2019). BibTeX Cite \textit{A. Dorogovtsev} et al., ``Self-intersection local times of random fields in stochastic flows'', Preprint, arXiv:1910.09492 [math.PR] (2019) Full Text: arXiv OA License
Dorogovtsev, A. A.; Izyumtseva, O. L.; Salhi, N. Clark representation for self-intersection local times of Gaussian integrators. arXiv:1801.06199 Preprint, arXiv:1801.06199 [math.PR] (2018). MSC: 60G15 60H05 60H40 60J55 BibTeX Cite \textit{A. A. Dorogovtsev} et al., ``Clark representation for self-intersection local times of Gaussian integrators'', Preprint, arXiv:1801.06199 [math.PR] (2018) Full Text: arXiv OA License
Dorogovtsev, A. A.; Korenovska, Ia. A.; Glinyanaya, E. V. On some random integral operators generated by an Arratia flow. (English) Zbl 1413.60059 Theory Stoch. Process. 22, No. 2, 8-18 (2017). MSC: 60H25 60G55 60K35 PDFBibTeX XMLCite \textit{A. A. Dorogovtsev} et al., Theory Stoch. Process. 22, No. 2, 8--18 (2017; Zbl 1413.60059) Full Text: Link
Dorogovtsev, A. A.; Korenovska, Ia. A. Some random integral operators related to a point processes. (English) Zbl 1399.60086 Theory Stoch. Process. 22, No. 1, 16-21 (2017). MSC: 60G55 60H25 PDFBibTeX XMLCite \textit{A. A. Dorogovtsev} and \textit{Ia. A. Korenovska}, Theory Stoch. Process. 22, No. 1, 16--21 (2017; Zbl 1399.60086) Full Text: Link
Dorogovtsev, Andrey; Korenovska, Iaroslava Random integral operators related to the point processes. arXiv:1707.09922 Preprint, arXiv:1707.09922 [math.PR] (2017). BibTeX Cite \textit{A. Dorogovtsev} and \textit{I. Korenovska}, ``Random integral operators related to the point processes'', Preprint, arXiv:1707.09922 [math.PR] (2017) Full Text: arXiv OA License
Dorogovtsev, Andrey; Korenovska, Iaroslava Essential sets for random operators constructed from Arratia flow. arXiv:1707.09492 Preprint, arXiv:1707.09492 [math.PR] (2017). BibTeX Cite \textit{A. Dorogovtsev} and \textit{I. Korenovska}, ``Essential sets for random operators constructed from Arratia flow'', Preprint, arXiv:1707.09492 [math.PR] (2017) Full Text: arXiv OA License
Dorogovtsev, A. A.; Izyumtseva, O. L. Local times of self-intersection. (English. Russian original) Zbl 1490.60084 Ukr. Math. J. 68, No. 3, 325-379 (2016); translation from Ukr. Mat. Zh. 68, No. 3, 290-340 (2016). MSC: 60G17 60-02 60J55 PDFBibTeX XMLCite \textit{A. A. Dorogovtsev} and \textit{O. L. Izyumtseva}, Ukr. Math. J. 68, No. 3, 325--379 (2016; Zbl 1490.60084); translation from Ukr. Mat. Zh. 68, No. 3, 290--340 (2016) Full Text: DOI
Baxter, Gareth J.; Cellai, Davide; Dorogovtsev, Sergey N.; Goltsev, Alexander V. A unified approach to percolation processes on multiplex networks. (English) Zbl 1371.90029 Garas, Antonios (ed.), Interconnected networks. Cham: Springer (ISBN 978-3-319-23945-3/hbk; 978-3-319-23947-7/ebook). Understanding Complex Systems; Springer: Complexity, 101-123 (2016). MSC: 90B10 90B15 60K35 PDFBibTeX XMLCite \textit{G. J. Baxter} et al., in: Interconnected networks. Cham: Springer. 101--123 (2016; Zbl 1371.90029) Full Text: DOI arXiv
Dorogovtsev, A. A.; Fomichov, V. V. The rate of weak convergence of the \(n\)-point motions of Harris flows. (English) Zbl 1364.60067 Dyn. Syst. Appl. 25, No. 3, 377-392 (2016). MSC: 60G57 60G60 60K35 60F05 PDFBibTeX XMLCite \textit{A. A. Dorogovtsev} and \textit{V. V. Fomichov}, Dyn. Syst. Appl. 25, No. 3, 377--392 (2016; Zbl 1364.60067) Full Text: arXiv
Dorogovtsev, Andrey A.; Riabov, Georgii Transformations of Wiener measure and orthogonal expansions. (English) Zbl 1350.60048 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 19, No. 3, Article ID 1650018, 18 p. (2016). MSC: 60H07 60H05 60H30 60K35 28C20 PDFBibTeX XMLCite \textit{A. A. Dorogovtsev} and \textit{G. Riabov}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 19, No. 3, Article ID 1650018, 18 p. (2016; Zbl 1350.60048) Full Text: DOI arXiv
Skorokhod, Anatolii V. Dorogovtsev, Andrey A. (ed.); Kulik, Alexey (ed.); Pilipenko, Andrey (ed.); Portenko, Mykola I. (ed.); Shiryaev, Albert N. (ed.) Selected works. Edited by Andrey A. Dorogovtsev, Alexey Kulik, Andrey Pilipenko, Mykola I. Portenko and Albert N. Shiryaev. (English) Zbl 1433.01025 Cham: Springer (ISBN 978-3-319-28505-4/hbk). xvi, 390 p. (2016). MSC: 01A75 60-03 01A60 PDFBibTeX XMLCite \textit{A. V. Skorokhod} et al., Selected works. Edited by Andrey A. Dorogovtsev, Alexey Kulik, Andrey Pilipenko, Mykola I. Portenko and Albert N. Shiryaev. Cham: Springer (2016; Zbl 1433.01025)
Dorogovtsev, Andrey; Izyumtseva, Olga; Riabov, Georgii; Salhi, Naoufel Clark formula for local time for one class of Gaussian processes. arXiv:1608.01145 Preprint, arXiv:1608.01145 [math.PR] (2016). BibTeX Cite \textit{A. Dorogovtsev} et al., ``Clark formula for local time for one class of Gaussian processes'', Preprint, arXiv:1608.01145 [math.PR] (2016) Full Text: arXiv OA License
Dorogovtsev, A. A.; Izyumtseva, O. I. On self-intersection local times for generalized Brownian bridges and the distance between step functions. (English) Zbl 1363.60053 Theory Stoch. Process. 20, No. 1, 1-13 (2015). MSC: 60G15 60J55 60H40 PDFBibTeX XMLCite \textit{A. A. Dorogovtsev} and \textit{O. I. Izyumtseva}, Theory Stoch. Process. 20, No. 1, 1--13 (2015; Zbl 1363.60053) Full Text: arXiv
Dorogovtsev, Andrey; Izyumtseva, Olga Properties of Gaussian local times. (English) Zbl 1330.60096 Lith. Math. J. 55, No. 4, 489-505 (2015). MSC: 60J55 60G15 60H40 60J65 60G17 PDFBibTeX XMLCite \textit{A. Dorogovtsev} and \textit{O. Izyumtseva}, Lith. Math. J. 55, No. 4, 489--505 (2015; Zbl 1330.60096) Full Text: DOI arXiv
da Costa, R. A.; Dorogovtsev, S. N.; Goltsev, A. V.; Mendes, J. F. F. Inverting the Achlioptas rule for explosive percolation. arXiv:1503.00727 Preprint, arXiv:1503.00727 [cond-mat.dis-nn] (2015). BibTeX Cite \textit{R. A. da Costa} et al., ``Inverting the Achlioptas rule for explosive percolation'', Preprint, arXiv:1503.00727 [cond-mat.dis-nn] (2015) Full Text: DOI arXiv OA License
da Costa, R. A.; Dorogovtsev, S. N.; Goltsev, A. V.; Mendes, J. F. F. Solution of the explosive percolation quest. II. Infinite-order transition produced by the initial distributions of clusters. arXiv:1501.01312 Preprint, arXiv:1501.01312 [cond-mat.dis-nn] (2015). BibTeX Cite \textit{R. A. da Costa} et al., ``Solution of the explosive percolation quest. II. Infinite-order transition produced by the initial distributions of clusters'', Preprint, arXiv:1501.01312 [cond-mat.dis-nn] (2015) Full Text: DOI arXiv OA License
Dorogovtsev, Andrey; Popov, Mikhail Geometric entropy in Banach spaces. (English) Zbl 1340.46025 Theory Stoch. Process. 19, No. 2, 10-30 (2014). MSC: 46B50 46B15 60H07 PDFBibTeX XMLCite \textit{A. Dorogovtsev} and \textit{M. Popov}, Theory Stoch. Process. 19, No. 2, 10--30 (2014; Zbl 1340.46025)
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)
Dorogovtsev, A. A.; Izyumtseva, O. L. Self-intersection local times for Gaussian processes in the plane. (English. Russian original) Zbl 1312.60037 Dokl. Math. 89, No. 1, 54-56 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 454, No. 3, 262-264 (2014). MSC: 60G15 60J55 PDFBibTeX XMLCite \textit{A. A. Dorogovtsev} and \textit{O. L. Izyumtseva}, Dokl. Math. 89, No. 1, 54--56 (2014; Zbl 1312.60037); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 454, No. 3, 262--264 (2014) Full Text: DOI
da Costa, R. A.; Dorogovtsev, S. N.; Goltsev, A. V.; Mendes, J. F. F. Solution of the explosive percolation quest: Scaling functions and critical exponents. arXiv:1405.1037 Preprint, arXiv:1405.1037 [cond-mat.dis-nn] (2014). BibTeX Cite \textit{R. A. da Costa} et al., ``Solution of the explosive percolation quest: Scaling functions and critical exponents'', Preprint, arXiv:1405.1037 [cond-mat.dis-nn] (2014) Full Text: DOI arXiv OA License
da Costa, R. A.; Dorogovtsev, S. N.; Goltsev, A. V.; Mendes, J. F. F. Critical exponents of the explosive percolation transition. arXiv:1402.4450 Preprint, arXiv:1402.4450 [cond-mat.dis-nn] (2014). BibTeX Cite \textit{R. A. da Costa} et al., ``Critical exponents of the explosive percolation transition'', Preprint, arXiv:1402.4450 [cond-mat.dis-nn] (2014) Full Text: DOI arXiv OA License
Dorogovtsev, A. A.; Vovchanskii, M. B. Arratia flow with drift and the Trotter formula for Brownian web. arXiv:1310.7431 Preprint, arXiv:1310.7431 [math.PR] (2013). BibTeX Cite \textit{A. A. Dorogovtsev} and \textit{M. B. Vovchanskii}, ``Arratia flow with drift and the Trotter formula for Brownian web'', Preprint, arXiv:1310.7431 [math.PR] (2013) Full Text: DOI arXiv OA License
Dorogovtsev, Andrei; Popov, Mikhail Basis entropy in Banach spaces. arXiv:1310.7248 Preprint, arXiv:1310.7248 [math.FA] (2013). MSC: 46B50 46B15 60H07 BibTeX Cite \textit{A. Dorogovtsev} and \textit{M. Popov}, ``Basis entropy in Banach spaces'', Preprint, arXiv:1310.7248 [math.FA] (2013) Full Text: arXiv OA License
Dorogovtsev, Andrey A. Krylov-Veretennikov expansion for coalescing stochastic flows. (English) Zbl 1331.60155 Commun. Stoch. Anal. 6, No. 3, 421-435 (2012). MSC: 60J57 60H25 PDFBibTeX XMLCite \textit{A. A. Dorogovtsev}, Commun. Stoch. Anal. 6, No. 3, 421--435 (2012; Zbl 1331.60155) Full Text: arXiv
Dorogovtsev, A. A.; Gnedin, A. V.; Vovchanskii, M. B. Iterated logarithm law for sizes of clusters in Arratia flow. (English) Zbl 1289.60132 Theory Stoch. Process. 18, No. 2, 1-7 (2012). MSC: 60J65 60D05 PDFBibTeX XMLCite \textit{A. A. Dorogovtsev} et al., Theory Stoch. Process. 18, No. 2, 1--7 (2012; Zbl 1289.60132) Full Text: arXiv
Baxter, G. J.; Dorogovtsev, S. N.; Goltsev, A. V.; Mendes, J. F. F. \(k\)-core organization in complex networks. (English) Zbl 1250.05099 Thai, My T. (ed.) et al., Handbook of optimization in complex networks. Theory and applications. New York, NY: Springer (ISBN 978-1-4614-0753-9/hbk; 978-1-4614-0754-6/ebook). Springer Optimization and Its Applications 57, 229-252 (2012). MSC: 05C82 05C35 PDFBibTeX XMLCite \textit{G. J. Baxter} et al., Springer Optim. Appl. 57, 229--252 (2012; Zbl 1250.05099) Full Text: DOI
Baxter, G. J.; Dorogovtsev, S. N.; Goltsev, A. V.; Mendes, J. F. F. Avalanche Collapse of Interdependent Network. arXiv:1207.0448 Preprint, arXiv:1207.0448 [cond-mat.stat-mech] (2012). BibTeX Cite \textit{G. J. Baxter} et al., ``Avalanche Collapse of Interdependent Network'', Preprint, arXiv:1207.0448 [cond-mat.stat-mech] (2012) Full Text: DOI arXiv OA License
Dorogovtsev, Andrey A. Semigroups of finite-dimensional random projections. (English) Zbl 1291.60138 Lith. Math. J. 51, No. 3, 330-341 (2011). Reviewer: Andrzej Nowak (Katowice) MSC: 60H25 47B80 47D99 PDFBibTeX XMLCite \textit{A. A. Dorogovtsev}, Lith. Math. J. 51, No. 3, 330--341 (2011; Zbl 1291.60138) Full Text: DOI arXiv
Dorogovtsev, A. A.; Izyumtseva, O. L. On regularization of the formal Fourier-Wiener transform of the self-intersection local time of a planar Gaussian process. (English) Zbl 1249.60073 Theory Stoch. Process. 17, No. 1, 28-38 (2011). MSC: 60G15 60H40 PDFBibTeX XMLCite \textit{A. A. Dorogovtsev} and \textit{O. L. Izyumtseva}, Theory Stoch. Process. 17, No. 1, 28--38 (2011; Zbl 1249.60073) Full Text: arXiv
Dorogovtsev, A. A.; Ostapenko, O. V. Large deviations for flows of interacting Brownian motions. (English) Zbl 1205.60056 Stoch. Dyn. 10, No. 3, 315-339 (2010). Reviewer: Zakhar Kabluchko (Ulm) MSC: 60F10 60H15 PDFBibTeX XMLCite \textit{A. A. Dorogovtsev} and \textit{O. V. Ostapenko}, Stoch. Dyn. 10, No. 3, 315--339 (2010; Zbl 1205.60056) Full Text: DOI arXiv
Dorogovtsev, A. A. Entropy of stochastic flows. (English) Zbl 1202.60084 Sb. Math. 201, No. 5, 645-653 (2010); translation from Mat. Sb. 201, No. 5, 17-26 (2010). MSC: 60H10 60J65 PDFBibTeX XMLCite \textit{A. A. Dorogovtsev}, Sb. Math. 201, No. 5, 645--653 (2010; Zbl 1202.60084); translation from Mat. Sb. 201, No. 5, 17--26 (2010) Full Text: DOI
da Costa, R. A.; Dorogovtsev, S. N.; Goltsev, A. V.; Mendes, J. F. F. ”Explosive Percolation” Transition is Actually Continuous. arXiv:1009.2534 Preprint, arXiv:1009.2534 [cond-mat.dis-nn] (2010). BibTeX Cite \textit{R. A. da Costa} et al., ``''Explosive Percolation'' Transition is Actually Continuous'', Preprint, arXiv:1009.2534 [cond-mat.dis-nn] (2010) Full Text: DOI arXiv OA License
Baxter, G J; Dorogovtsev, S N; Goltsev, A V; Mendes, J F F Bootstrap Percolation on Complex Networks. arXiv:1003.5583 Preprint, arXiv:1003.5583 [cond-mat.stat-mech] (2010). BibTeX Cite \textit{G J Baxter} et al., ``Bootstrap Percolation on Complex Networks'', Preprint, arXiv:1003.5583 [cond-mat.stat-mech] (2010) Full Text: DOI arXiv OA License
Baxter, G. J.; Dorogovtsev, S. N.; Goltsev, A. V.; Mendes, J. F. F. Heterogeneous-k-core versus Bootstrap Percolation on Complex Networks. arXiv:1012.4336 Preprint, arXiv:1012.4336 [cond-mat.stat-mech] (2010). BibTeX Cite \textit{G. J. Baxter} et al., ``Heterogeneous-k-core versus Bootstrap Percolation on Complex Networks'', Preprint, arXiv:1012.4336 [cond-mat.stat-mech] (2010) Full Text: DOI arXiv OA License
Dorogovtsev, A. A.; Ostapenko, O. V. Large deviations for stochastic flows with interaction. (Ukrainian. English summary) Zbl 1199.60289 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2009, No. 7, 7-10 (2009). MSC: 60J60 PDFBibTeX XMLCite \textit{A. A. Dorogovtsev} and \textit{O. V. Ostapenko}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2009, No. 7, 7--10 (2009; Zbl 1199.60289)
Dorogovtsev, S. N.; Ferreira, A. L.; Goltsev, A. V.; Mendes, J. F. F. Zero Pearson Coefficient for Strongly Correlated Growing Trees. arXiv:0911.4285 Preprint, arXiv:0911.4285 [cond-mat.stat-mech] (2009). BibTeX Cite \textit{S. N. Dorogovtsev} et al., ``Zero Pearson Coefficient for Strongly Correlated Growing Trees'', Preprint, arXiv:0911.4285 [cond-mat.stat-mech] (2009) Full Text: DOI arXiv OA License
Dorogovtsev, A. A. On the area of a Wiener sausage and stochastic analysis. (Ukrainian) Zbl 1246.60088 Dorogovtsev, A. A. (ed.), Математика сьогодні ’08. Вып.14. Kyïv: “Fakt”. 25-46 (2008). MSC: 60H15 60J65 PDFBibTeX XMLCite \textit{A. A. Dorogovtsev}, in: Математика сьогодні '08. Вып.14. Kyïv: ``Fakt''. 25--46 (2008; Zbl 1246.60088)
Dorogovtsev, A. A. (ed.) Mathematics today ’08. No. 14. (Математика сьогодні ’08. Вып.14.) (Ukrainian) Zbl 1245.00030 Kyïv: “Fakt”. 179 p. (2008). MSC: 00B15 PDFBibTeX XMLCite \textit{A. A. Dorogovtsev} (ed.), Математика сьогодні '08. Вып.14 (Ukrainian). Kyïv: ``Fakt'' (2008; Zbl 1245.00030)
Dorogovtsev, Andriy; Popov, Mykhaylo On narrowness of conditional expectation operators in spaces of measurable functions. (Ukrainian. English summary) Zbl 1199.46075 Mat. Visn. Nauk. Tov. Im. Shevchenka 5, 36-46 (2008). Reviewer: Anatolij Plichko (Krak’ow) MSC: 46E30 60E05 47B38 PDFBibTeX XMLCite \textit{A. Dorogovtsev} and \textit{M. Popov}, Mat. Visn. Nauk. Tov. Im. Shevchenka 5, 36--46 (2008; Zbl 1199.46075)
Mitropol’skij, Yu. A.; Berezans’kyj, Yu. M.; Gorbachuk, M. L.; Korolyuk, V. S.; Lukovs’kyj, I. O.; Makarov, V. L.; Perestyuk, M. O.; Samojlenko, Yu. S.; Sharko, V. V.; Sharkovs’kyj, O. M.; Dorogovtsev, A. A.; Drozd, Yu. A.; Rebenko, O. L.; Ronto, A. M Fifty years devoted to science (on the 70th birthday of Anatolii Mykhailovych Samoilenko). (Ukrainian, English) Zbl 1155.01334 Ukr. Mat. Zh. 60, No. 1, 3-7 (2008); translation in Ukr. Math. J. 60, No. 1, 1-5 (2008). MSC: 01A70 PDFBibTeX XMLCite \textit{Yu. A. Mitropol'skij} et al., Ukr. Mat. Zh. 60, No. 1, 3--7 (2008; Zbl 1155.01334); translation in Ukr. Math. J. 60, No. 1, 1--5 (2008) Full Text: DOI
Dorogovtsev, A. A. Stochastic anticipating boundary value problems. (English. Russian original) Zbl 1163.60025 Dokl. Math. 77, No. 1, 76-79 (2008); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 418, No. 4, 443-446 (2008). Reviewer: George Stoica (Saint John) MSC: 60H10 PDFBibTeX XMLCite \textit{A. A. Dorogovtsev}, Dokl. Math. 77, No. 1, 76--79 (2008; Zbl 1163.60025); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 418, No. 4, 443--446 (2008) Full Text: DOI arXiv
Goltsev, A. V.; Dorogovtsev, S. N.; Mendes, J. F. F. Percolation on correlated networks. arXiv:0810.1742 Preprint, arXiv:0810.1742 [cond-mat.stat-mech] (2008). BibTeX Cite \textit{A. V. Goltsev} et al., ``Percolation on correlated networks'', Preprint, arXiv:0810.1742 [cond-mat.stat-mech] (2008) Full Text: DOI arXiv OA License
Dorogovtsev, A. A. (ed.) Mathematics today ’07. No. 13. (Математика сьогодні ’07. Вып.13.) (Ukrainian) Zbl 1245.00029 Kyïv: “Fakt”. 244 p. (2007). MSC: 00B15 PDFBibTeX XMLCite \textit{A. A. Dorogovtsev} (ed.), Математика сьогодні '07. Вып.13 (Ukrainian). Kyïv: ``Fakt'' (2007; Zbl 1245.00029)
Dorogovtsev, Andrey A. Conditioning of Gaussian functionals and orthogonal expansion. (English) Zbl 1199.60193 Theory Stoch. Process. 13(29), No. 3, 29-37 (2007). MSC: 60H05 60H40 60B11 PDFBibTeX XMLCite \textit{A. A. Dorogovtsev}, Theory Stoch. Process. 13(29), No. 3, 29--37 (2007; Zbl 1199.60193)
Dorogovtsev, Andrey A. Systems of Brownian particles with coalescing. (English) Zbl 1199.60298 Zb. Pr. Inst. Mat. NAN Ukr. 4, No. 3, 88-95 (2007). MSC: 60J65 60K35 PDFBibTeX XMLCite \textit{A. A. Dorogovtsev}, Zb. Pr. Inst. Mat. NAN Ukr. 4, No. 3, 88--95 (2007; Zbl 1199.60298)
Dorogovtsev, A. A. Measure-valued processes and stochastic flows. (Мерозначные процессы и стохастические потоки.) (Russian) Zbl 1199.60002 Pratsi Instytutu Matematyky Natsional’noïAkademiïNauk Ukraïny. Matematyka ta ïïZastosuvannya 66. Kyïv: Instytut Matematyky NAN Ukraïny (ISBN 978-966-02-4540-2). 290 p. (2007). MSC: 60-02 37-02 82-02 60A10 60G57 60H07 35Q30 PDFBibTeX XMLCite \textit{A. A. Dorogovtsev}, Мерозначные процессы и стохастические потоки (Russian). Kyïv: Instytut Matematyky NAN Ukraïny (2007; Zbl 1199.60002)
Gomilko, A. M.; Dorogovtsev, A. A. Localization of the extended stochastic integral. (English. Russian original) Zbl 1154.60040 Sb. Math. 197, No. 9, 1273-1295 (2006); translation from Mat. Sb. 197, No. 9, 19-42 (2006). Reviewer: Jacques Franchi (Strasbourg) MSC: 60H05 46G12 28C20 PDFBibTeX XMLCite \textit{A. M. Gomilko} and \textit{A. A. Dorogovtsev}, Sb. Math. 197, No. 9, 1273--1295 (2006; Zbl 1154.60040); translation from Mat. Sb. 197, No. 9, 19--42 (2006) Full Text: DOI
Dorogovtsev, A. A. Stochastic integral over the arratia flow. (English. Russian original) Zbl 1157.60053 Dokl. Math. 74, No. 2, 648-649 (2006); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 410, No. 2, 156-157 (2006). Reviewer: Nicolas Privault (Hong Kong) MSC: 60H05 60G51 PDFBibTeX XMLCite \textit{A. A. Dorogovtsev}, Dokl. Math. 74, No. 2, 648--649 (2006; Zbl 1157.60053); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 410, No. 2, 156--157 (2006) Full Text: DOI
Dorogovtsev, S. N.; Goltsev, A. V.; Mendes, J. F. F. \(k\)-core architecture and \(k\)-core percolation on complex networks. (English) Zbl 1130.94024 Physica D 224, No. 1-2, 7-19 (2006). MSC: 94C15 82B43 PDFBibTeX XMLCite \textit{S. N. Dorogovtsev} et al., Physica D 224, No. 1--2, 7--19 (2006; Zbl 1130.94024) Full Text: DOI
Dorogovtsev, Andrey A. One version of the Clark representation theorem for Arratia flows. (English) Zbl 1142.60357 Theory Stoch. Process. 11, No. 27, Part 3-4, 63-70 (2005). MSC: 60H05 60H40 60J65 60K35 PDFBibTeX XMLCite \textit{A. A. Dorogovtsev}, Theory Stoch. Process. 11(27), No. 3--4, 63--70 (2005; Zbl 1142.60357) Full Text: arXiv
Dorogovtsev, A. A. Some remarks on a Wiener flow with coalescence. (Ukrainian, English) Zbl 1110.60057 Ukr. Mat. Zh. 57, No. 10, 1327-1333 (2005); translation in Ukr. Math. J. 57, No. 10, 1550-1558 (2005). Reviewer: Uta Freiberg (Canberra) MSC: 60H10 60G17 60K35 PDFBibTeX XMLCite \textit{A. A. Dorogovtsev}, Ukr. Mat. Zh. 57, No. 10, 1327--1333 (2005; Zbl 1110.60057); translation in Ukr. Math. J. 57, No. 10, 1550--1558 (2005) Full Text: DOI
Dorogovtsev, A. A. Smoothing problem in anticipating scenario. (English) Zbl 1093.60029 Ukr. Mat. Zh. 57, No. 9, 1218-1234 (2005) and Ukr. Math. J. 57, No. 9, 1424-1441 (2005). MSC: 60H10 60G15 PDFBibTeX XMLCite \textit{A. A. Dorogovtsev}, Ukr. Mat. Zh. 57, No. 9, 1218--1234 (2005; Zbl 1093.60029) Full Text: DOI arXiv Link
Mendes, J. F. F. (ed.); Dorogovtsev, S. N. (ed.); Povolotsky, A. (ed.); Abreu, F. V. (ed.); Oliveira, J. G . (ed.) Science of Complex Networks. From Biology to the Internet and WWW; CNET 2004, Aveiro, Portugal, 29 August–2 September 2004. (English) Zbl 1109.82302 AIP Conference Proceedings 776. Melville, NY: American Institute of Physics (AIP) (ISBN 0-7354-0262-0). x, 320 p. (2005). MSC: 82-06 90-06 91-06 92-06 00B25 PDFBibTeX XMLCite \textit{J. F. F. Mendes} (ed.) et al., Science of Complex Networks. From Biology to the Internet and WWW; CNET 2004, Aveiro, Portugal, 29 August--2 September 2004. Melville, NY: American Institute of Physics (AIP) (2005; Zbl 1109.82302) Full Text: Link
Dorogovtsev, A. Ya. Stability of \(p\)-periodic solutions of a degenerating equation. (English. Russian original) Zbl 1093.34548 Differ. Equ. 41, No. 4, 455-461 (2005); translation from Differ. Uravn. 41, No. 4, 435-440 (2005). Reviewer: Bogdan Sasu (Timişoara) MSC: 34G10 34C25 34F05 PDFBibTeX XMLCite \textit{A. Ya. Dorogovtsev}, Differ. Equ. 41, No. 4, 455--461 (2005; Zbl 1093.34548); translation from Differ. Uravn. 41, No. 4, 435--440 (2005) Full Text: DOI
Dorogovtsev, A. A. On random measures on the space of trajectories and strong and weak solutions of stochastic equations. arXiv:math/0505569 Preprint, arXiv:math/0505569 [math.PR] (2005). MSC: 60H10 60H15 BibTeX Cite \textit{A. A. Dorogovtsev}, ``On random measures on the space of trajectories and strong and weak solutions of stochastic equations'', Preprint, arXiv:math/0505569 [math.PR] (2005) Full Text: arXiv
Dorogovtsev, Sergei N.; Goltsev, Alexander V.; Mendes, José F. F.; Samukhin, Alexander N. Spectral analysis of random networks. (English) Zbl 1082.05516 Ben-Naim, Eli (ed.) et al., Complex networks. Papers from the conference ‘complex networks: structure, dynamics, and function’, 23rd annual conference of the Center for Nonlinear Studies, Santa Fe, NM, USA, May 12–16, 2003. Berlin: Springer (ISBN 3-540-22354-1/hbk). Lecture Notes in Physics 650, 35-50 (2004). MSC: 05C80 05C50 60J50 60C05 PDFBibTeX XMLCite \textit{S. N. Dorogovtsev} et al., Lect. Notes Phys. 650, 35--50 (2004; Zbl 1082.05516) Full Text: arXiv
Dorogovtsev, A. Ya. On stability of solutions of a stochastic equation. (Russian, English) Zbl 1075.60063 Ukr. Mat. Zh. 56, No. 1, 19-30 (2004); translation in Ukr. Math. J. 56, No. 1, 22-36 (2004). MSC: 60H10 34F05 PDFBibTeX XMLCite \textit{A. Ya. Dorogovtsev}, Ukr. Mat. Zh. 56, No. 1, 19--30 (2004; Zbl 1075.60063); translation in Ukr. Math. J. 56, No. 1, 22--36 (2004) Full Text: DOI
Dorogovtsev, A. A. On random measures on the path space and strong and weak solutions of stochastic equations. (Russian, English) Zbl 1075.60079 Ukr. Mat. Zh. 56, No. 5, 625-633 (2004); translation in Ukr. Math. J. 56, No. 5, 753-763 (2004). Reviewer: A. N. Kochubei (Kyïv) MSC: 60H25 60H10 PDFBibTeX XMLCite \textit{A. A. Dorogovtsev}, Ukr. Mat. Zh. 56, No. 5, 625--633 (2004; Zbl 1075.60079); translation in Ukr. Math. J. 56, No. 5, 753--763 (2004) Full Text: DOI
Dorogovtsev, A. A. On a condition of weak compactness of a family of measure-valued processes. (Russian, English) Zbl 1074.60046 Ukr. Mat. Zh. 56, No. 7, 885-891 (2004); translation in Ukr. Math. J. 56, No. 7, 1054-1062 (2004). MSC: 60G07 PDFBibTeX XMLCite \textit{A. A. Dorogovtsev}, Ukr. Mat. Zh. 56, No. 7, 885--891 (2004; Zbl 1074.60046); translation in Ukr. Math. J. 56, No. 7, 1054--1062 (2004) Full Text: DOI
Dorogovtsev, Andrey A. One Brownian stochastic flow. (English) Zbl 1065.60144 Theory Stoch. Process. 10(26), No. 3-4, 21-25 (2004). MSC: 60K35 60J65 PDFBibTeX XMLCite \textit{A. A. Dorogovtsev}, Theory Stoch. Process. 10(26), No. 3--4, 21--25 (2004; Zbl 1065.60144) Full Text: arXiv
Dorogovtsev, Andrey A. Measure-valued Markov processes and stochastic flows on abstract spaces. (English) Zbl 1063.60084 Stochastics Stochastics Rep. 76, No. 5, 395-407 (2004). Reviewer: Tomasz Bojdecki (Warszawa) MSC: 60H10 60G57 60J25 60K35 PDFBibTeX XMLCite \textit{A. A. Dorogovtsev}, Stochastics Stochastics Rep. 76, No. 5, 395--407 (2004; Zbl 1063.60084) Full Text: DOI
Dorogovtsev, Andrei A. Stochastic flows with interaction and measure-valued Markov processes. (English. Russian original) Zbl 1246.60098 Dokl. Math. 67, No. 1, 17-20 (2003); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 388, No. 2, 151-154 (2003). MSC: 60J25 PDFBibTeX XMLCite \textit{A. A. Dorogovtsev}, Dokl. Math. 67, No. 1, 17--20 (2003; Zbl 1246.60098); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 388, No. 2, 151--154 (2003)
Dorogovtsev, Andrey A.; Karlikova, Maria P. Long-time behaviour of measure-valued processes correspondent to stochastic flows with interaction. (English) Zbl 1064.60104 Theory Stoch. Process. 9(25), No. 1-2, 52-59 (2003). MSC: 60G57 60K35 60F25 PDFBibTeX XMLCite \textit{A. A. Dorogovtsev} and \textit{M. P. Karlikova}, Theory Stoch. Process. 9(25), No. 1--2, 52--59 (2003; Zbl 1064.60104)
Dorogovtsev, A. A.; Bakun, V. V. Random mappings and a generalized additive functional of a Wiener process. (English. Russian original) Zbl 1057.60075 Theory Probab. Appl. 48, No. 1, 63-79 (2003); translation from Teor. Veroyatn. Primen. 48, No. 1, 43-61 (2003). Reviewer: Dominique Lepingle (Orléans) MSC: 60J55 46F10 60H40 PDFBibTeX XMLCite \textit{A. A. Dorogovtsev} and \textit{V. V. Bakun}, Theory Probab. Appl. 48, No. 1, 63--79 (2003; Zbl 1057.60075); translation from Teor. Veroyatn. Primen. 48, No. 1, 43--61 (2003) Full Text: DOI
Dorogovtsev, Andrey A. Stochastic flows with interaction and measure-valued processes. (English) Zbl 1032.60072 Int. J. Math. Math. Sci. 2003, No. 63, 3963-3977 (2003). MSC: 60J25 PDFBibTeX XMLCite \textit{A. A. Dorogovtsev}, Int. J. Math. Math. Sci. 2003, No. 63, 3963--3977 (2003; Zbl 1032.60072) Full Text: DOI EuDML
Dorogovtsev, S. N.; Mendes, J. F. F.; Samukhin, A. N. Principles of statistical mechanics of uncorrelated random networks. (English) Zbl 1059.82003 Nucl. Phys., B 666, No. 3, 396-416 (2003). MSC: 82B05 05C80 PDFBibTeX XMLCite \textit{S. N. Dorogovtsev} et al., Nucl. Phys., B 666, No. 3, 396--416 (2003; Zbl 1059.82003) Full Text: DOI arXiv
Dorogovtsev, S. N.; Mendes, J. F. F.; Samukhin, A. N. Metric structure of random networks. (English) Zbl 1010.05073 Nucl. Phys., B 653, No. 3, 307-338 (2003). MSC: 05C80 05C38 05C10 PDFBibTeX XMLCite \textit{S. N. Dorogovtsev} et al., Nucl. Phys., B 653, No. 3, 307--338 (2003; Zbl 1010.05073) Full Text: DOI arXiv
Dorogovtsev, Andrey A. The local times for one class of measure-valued Markov processes. (English) Zbl 1097.60060 Ukrainian mathematical congress – 2001, Kiev, Ukraine, August 21–23, 2001. Proceedings. Section 9. Probability theory and mathematical statistics. Kyïv: Instytut Matematyky NAN Ukraïny (ISBN 966-02-2616-0). 38-43 (2002). MSC: 60J55 60H10 60G57 PDFBibTeX XMLCite \textit{A. A. Dorogovtsev}, in: Ukraïns'kyj matematychnyj kongres -- 2001. Pratsi. Sektsiya 9. Teoriya jmovirnostej i matematychna statystyka. Kyïv: Instytut Matematyky NAN Ukraïny. 38--43 (2002; Zbl 1097.60060)
Dorogovtsev, A. Ya. On a case of existence of homogeneous solutions. (English. Russian original) Zbl 1005.60074 Ukr. Math. J. 54, No. 2, 233-238 (2002); translation from Ukr. Mat. Zh. 54, No. 2, 190-194 (2002). Reviewer: R.E.Maiboroda (Kyïv) MSC: 60H15 60G60 PDFBibTeX XMLCite \textit{A. Ya. Dorogovtsev}, Ukr. Mat. Zh. 54, No. 2, 190--194 (2002; Zbl 1005.60074); translation from Ukr. Mat. Zh. 54, No. 2, 190--194 (2002)
Dorogovtsev, A. A. Measure-valued Markov processes and stochastic flows. (English. Russian original) Zbl 1013.60027 Ukr. Math. J. 54, No. 2, 218-232 (2002); translation from Ukr. Mat. Zh. 54, No. 2, 178-189 (2002). Reviewer: R.E.Maiboroda (Kyïv) MSC: 60G57 60J25 PDFBibTeX XMLCite \textit{A. A. Dorogovtsev}, Ukr. Mat. Zh. 54, No. 2, 178--189 (2002; Zbl 1013.60027); translation from Ukr. Mat. Zh. 54, No. 2, 178--189 (2002)
Dorogovtsev, A. Ya. Periodicity in distribution. I: Discrete systems. (English) Zbl 1137.47303 Int. J. Math. Math. Sci. 30, No. 2, 65-127 (2002). MSC: 47B39 37H10 39A05 60B11 PDFBibTeX XMLCite \textit{A. Ya. Dorogovtsev}, Int. J. Math. Math. Sci. 30, No. 2, 65--127 (2002; Zbl 1137.47303) Full Text: DOI EuDML
Dorogovtsev, A. Ya. Periodic in the law solutions of the boundary value problem for heat equation. (Russian. English summary) Zbl 1049.35024 Fundam. Prikl. Mat. 7, No. 3, 699-712 (2001). Reviewer: Elena M. Kreines (Moskva) MSC: 35B10 35K05 PDFBibTeX XMLCite \textit{A. Ya. Dorogovtsev}, Fundam. Prikl. Mat. 7, No. 3, 699--712 (2001; Zbl 1049.35024)
Dorogovtsev, A. Ya. The Lagrange theorem and differential equations. (Russian) Zbl 1003.26007 Dorogovtsev, A. Ya. (ed.), Mathematics today. 2001. A scientific-methodical collection. No. 12. Kyïv: Naukovo-Metodyichnyij Tsentr Vyshchoï Osvity, 131-147 (2001). Reviewer: N.A.Denis’evskij (Kyïv) MSC: 26A24 34-01 26A06 PDFBibTeX XMLCite \textit{A. Ya. Dorogovtsev}, in: Matematika segodnya. 2001. Nauchno-metodicheskij sborni. Vyp. 12. Kyïv: Naukovo-Metodyichnyij Tsentr Vyshchoï\ Osvity. 131--147 (2001; Zbl 1003.26007)
Dorogovtsev, A. Ya. Generalized Riemann integral. (Russian) Zbl 1003.26008 Dorogovtsev, A. Ya. (ed.), Mathematics today. 2001. A scientific-methodical collection. No. 12. Kyïv: Naukovo-Metodyichnyij Tsentr Vyshchoï Osvity, 38-49 (2001). Reviewer: N.A.Denis’evskij (Kyïv) MSC: 26A39 26-01 PDFBibTeX XMLCite \textit{A. Ya. Dorogovtsev}, in: Matematika segodnya. 2001. Nauchno-metodicheskij sborni. Vyp. 12. Kyïv: Naukovo-Metodyichnyij Tsentr Vyshchoï\ Osvity. 38--49 (2001; Zbl 1003.26008)
Dorogovtsev, A. Ya. (ed.) Mathematics today. 2001. A scientific-methodical collection. No. 12. (Matematika segodnya. 2001. Nauchno-metodicheskij sborni. Vyp. 12.) (Russian, English) Zbl 0989.00007 Kyïv: Naukovo-Metodyichnyij Tsentr Vyshchoï Osvity, 256 p. (2001). MSC: 00B15 PDFBibTeX XMLCite \textit{A. Ya. Dorogovtsev} (ed.), Matematika segodnya. 2001. Nauchno-metodicheskij sborni. Vyp. 12 (Russian). Kyïv: Naukovo-Metodyichnyij Tsentr Vyshchoï\ Osvity (2001; Zbl 0989.00007)
Dorogovtsev, A. Ya. Solutions periodic in distribution to a boundary value problem for the telegraph equation. (English. Russian original) Zbl 1011.35010 Differ. Equ. 37, No. 3, 418-424 (2001); translation from Differ. Uravn. 37, No. 3, 391-396 (2001). Reviewer: Jong-Kyu Kim (Masan Kyungnam) MSC: 35B10 35R60 35R20 PDFBibTeX XMLCite \textit{A. Ya. Dorogovtsev}, Differ. Equ. 37, No. 3, 418--424 (2001; Zbl 1011.35010); translation from Differ. Uravn. 37, No. 3, 391--396 (2001) Full Text: DOI