Filonov, N.; Safarov, Y. On the relation between an operator and its self-commutator. (English) Zbl 1239.47029 J. Funct. Anal. 260, No. 10, 2902-2932 (2011). Reviewer: Ivan G. Todorov (Belfast) MSC: 47C15 47L30 46L05 PDFBibTeX XMLCite \textit{N. Filonov} and \textit{Y. Safarov}, J. Funct. Anal. 260, No. 10, 2902--2932 (2011; Zbl 1239.47029) Full Text: DOI arXiv
Safarov, Yu. G.; Filonov, N. D. Asymptotic estimates of the difference between the Dirichlet and Neumann counting functions. (English. Russian original) Zbl 1271.35057 Funct. Anal. Appl. 44, No. 4, 286-294 (2010); translation from Funkts. Anal. Prilozh. 44, No. 4, 54-64 (2010). MSC: 35P20 PDFBibTeX XMLCite \textit{Yu. G. Safarov} and \textit{N. D. Filonov}, Funct. Anal. Appl. 44, No. 4, 286--294 (2010; Zbl 1271.35057); translation from Funkts. Anal. Prilozh. 44, No. 4, 54--64 (2010) Full Text: DOI
Isakova, T. I.; Filonov, Yu. P. Integral conditions of invertibility of Markov chains on half-line with general measure of irreducibility. (Ukrainian, English) Zbl 1075.60089 Ukr. Mat. Zh. 56, No. 5, 705-712 (2004); translation in Ukr. Math. J. 56, No. 5, 852-862 (2004). MSC: 60J10 PDFBibTeX XMLCite \textit{T. I. Isakova} and \textit{Yu. P. Filonov}, Ukr. Mat. Zh. 56, No. 5, 705--712 (2004; Zbl 1075.60089); translation in Ukr. Math. J. 56, No. 5, 852--862 (2004) Full Text: DOI
Filonov, Yurii; Tsygan, Marina A certain class of Foster-Lyapunov functions. (English) Zbl 0946.60065 Theory Stoch. Process. 3(19), No. 1-2, 183-191 (1997). Reviewer: A.V.Swishchuk (Kyïv) MSC: 60J10 PDFBibTeX XMLCite \textit{Y. Filonov} and \textit{M. Tsygan}, Theory Stoch. Process. 3(19), No. 1--2, 183--191 (1997; Zbl 0946.60065)
Filonov, Yu. P. Nonpositivity of Markov chains with increasing oscillations. (English. Ukrainian original) Zbl 0923.60081 Theory Probab. Math. Stat. 56, 81-85 (1998); translation from Teor. Jmovirn. Mat. Stat. 56, 81-86 (1997). Reviewer: A.V.Swishchuk (Kyïv) MSC: 60J05 60J45 60J10 PDFBibTeX XMLCite \textit{Yu. P. Filonov}, Teor. Ĭmovirn. Mat. Stat. 56, 81--86 (1997; Zbl 0923.60081); translation from Teor. Jmovirn. Mat. Stat. 56, 81--86 (1997)
Filonov, Yu. P. The stability of recurrence and dissipativity for general kernels. (English. Ukrainian original) Zbl 0948.60062 Theory Probab. Math. Stat. 54, 153-160 (1997); translation from Teor. Jmovirn. Mat. Stat. 54, 147-154 (1996). Reviewer: M.P.Moklyachuk (Kyïv) MSC: 60J05 60J45 60J10 PDFBibTeX XMLCite \textit{Yu. P. Filonov}, Teor. Ĭmovirn. Mat. Stat. 54, 147--154 (1996; Zbl 0948.60062); translation from Teor. Jmovirn. Mat. Stat. 54, 147--154 (1996)
Filonov, Yu. P. Stability of null-recurrent Markov chains. I: Non-positivity. (English. Ukrainian original) Zbl 0840.60061 Theory Probab. Math. Stat. 48, 135-141 (1994); translation from Teor. Jmovirn. Mat. Stat. 48, 191-199 (1993). MSC: 60J10 PDFBibTeX XMLCite \textit{Yu. P. Filonov}, Theory Probab. Math. Stat. 48, 1 (1993; Zbl 0840.60061); translation from Teor. Jmovirn. Mat. Stat. 48, 191--199 (1993)
Filonov, Yu. P. Criterion for ergodicity of homogeneous discrete Markov chains. (English. Russian original) Zbl 0709.60073 Ukr. Math. J. 41, No. 10, 1223-1225 (1989); translation from Ukr. Mat. Zh. 41, No. 10, 1421-1422 (1989). MSC: 60J10 60G40 PDFBibTeX XMLCite \textit{Yu. P. Filonov}, Ukr. Math. J. 41, No. 10, 1223--1225 (1989; Zbl 0709.60073); translation from Ukr. Mat. Zh. 41, No. 10, 1421--1422 (1989) Full Text: DOI
Filonov, Yu. P. Markov chains with a finite-component state space. (English. Russian original) Zbl 0699.60059 Theory Probab. Math. Stat. 40, 137-143 (1990); translation from Teor. Veroyatn. Mat. Stat., Kiev 40, 115-120 (1989). MSC: 60J10 60G10 PDFBibTeX XMLCite \textit{Yu. P. Filonov}, Theory Probab. Math. Stat. 40, 137--143 (1989; Zbl 0699.60059); translation from Teor. Veroyatn. Mat. Stat., Kiev 40, 115--120 (1989)
Filonov, Yu. P. Mean arrival times of sets for Markov chains. (English. Russian original) Zbl 0697.60075 Ukr. Math. J. 41, No. 9, 1113-1115 (1989); translation from Ukr. Mat. Zh. 41, No. 9, 1290-1292 (1989). Reviewer: Yubo Ge MSC: 60J10 60G40 PDFBibTeX XMLCite \textit{Yu. P. Filonov}, Ukr. Math. J. 41, No. 9, 1113--1115 (1989; Zbl 0697.60075); translation from Ukr. Mat. Zh. 41, No. 9, 1290--1292 (1989) Full Text: DOI
Filonov, Yu. P. Mean times for attainment of sets of Markov chains. (Russian) Zbl 0691.60059 Ukr. Mat. Zh. 41, No. 9, 1290-1292 (1989). Reviewer: Yubo Ge MSC: 60J10 60G40 PDFBibTeX XMLCite \textit{Yu. P. Filonov}, Ukr. Mat. Zh. 41, No. 9, 1290--1292 (1989; Zbl 0691.60059) Full Text: DOI
Filonov, Yu. P. Expected times for reaching a level for range type functionals of a Markov chain. (English) Zbl 0561.60069 Theory Probab. Appl. 28, 825-829 (1984). MSC: 60J10 PDFBibTeX XMLCite \textit{Yu. P. Filonov}, Theory Probab. Appl. 28, 825--829 (1984; Zbl 0561.60069) Full Text: DOI
Filonov, Yu. P. Expectations of the moments of reaching the level by the range type functionals for Markov chains. (Russian. English summary) Zbl 0534.60061 Teor. Veroyatn. Primen. 28, No. 4, 789-794 (1983). Reviewer: G.Oprisian MSC: 60J10 PDFBibTeX XMLCite \textit{Yu. P. Filonov}, Teor. Veroyatn. Primen. 28, No. 4, 789--794 (1983; Zbl 0534.60061)
Filonov, Yu. P. The law of large numbers for a range type functional of a Markov chain. (English) Zbl 0504.60040 Theory Probab. Math. Stat. 24, 159-165 (1982). MSC: 60F17 60F05 60J10 60F15 PDFBibTeX XMLCite \textit{Yu. P. Filonov}, Theory Probab. Math. Stat. 24, 159--165 (1982; Zbl 0504.60040)
Filonov, Yu. P. The law of large numbers for a functional of the range type of a Markov chain. (Russian) Zbl 0463.60032 Teor. Veroyatn. Mat. Stat. 24, 140-146 (1981). MSC: 60F17 60F15 60J10 PDFBibTeX XML
Filonov, Yu. P. Stability of the properties of transience and recurrence of Markov chains. (English) Zbl 0487.60062 Theory Probab. Math. Stat. 19, 155-167 (1980). MSC: 60J10 PDFBibTeX XMLCite \textit{Yu. P. Filonov}, Theory Probab. Math. Stat. 19, 155--167 (1980; Zbl 0487.60062)
Filonov, Yu. P. The limit distribution for a centered functional of a transient Markov chain. (English. Russian original) Zbl 0466.60064 Theory Probab. Math. Stat. 23, 143-148 (1981); translation from Teor. Veroyatn. Mat. Stat. 23, 136-141 (1980). MSC: 60J10 60F05 60G50 PDFBibTeX XMLCite \textit{Yu. P. Filonov}, Theory Probab. Math. Stat. 23, 143--148 (1980; Zbl 0466.60064); translation from Teor. Veroyatn. Mat. Stat. 23, 136--141 (1980)
Filonov, Yu. P. Recurrence of finite-dimensional Markov chains. (English) Zbl 0433.60071 Theory Probab. Math. Stat. 17, 147-153 (1979). MSC: 60J10 60G50 PDFBibTeX XMLCite \textit{Yu. P. Filonov}, Theory Probab. Math. Stat. 17, 147--153 (1979; Zbl 0433.60071)