Cherkasov, I. D. Transformation of one-dimensional diffusion fields in the plane. (English. Russian original) Zbl 0859.60059 Theory Probab. Appl. 40, No. 3, 446-455 (1995); translation from Teor. Veroyatn. Primen. 40, No. 3, 565-577 (1993). Reviewer: I.D.Cherkasov (Saratov) MSC: 60H15 60J60 PDF BibTeX XML Cite \textit{I. D. Cherkasov}, Teor. Veroyatn. Primen. 40, No. 3, 565--577 (1993; Zbl 0859.60059); translation from Teor. Veroyatn. Primen. 40, No. 3, 565--577 (1993)
Cherkasov, I. D. Transformation of diffusion fields created by two Wiener processes. (English) Zbl 0830.60069 Math. Balk., New Ser. 7, No. 1, 19-26 (1993). MSC: 60J60 60J65 PDF BibTeX XML Cite \textit{I. D. Cherkasov}, Math. Balk., New Ser. 7, No. 1, 19--26 (1993; Zbl 0830.60069)
Cherkasov, I. D. Solving elliptic differential equations by the method of transformation of diffusion processes. (English. Russian original) Zbl 0816.35021 Differ. Equations 29, No. 11, 1744-1747 (1993); translation from Differ. Uravn. 29, No. 11, 2006-2009 (1993). Reviewer: V.Chernyatin (Szczecin) MSC: 35J25 60J60 35C05 PDF BibTeX XML Cite \textit{I. D. Cherkasov}, Differ. Equations 29, No. 11, 2006--2009 (1993; Zbl 0816.35021); translation from Differ. Uravn. 29, No. 11, 2006--2009 (1993)
Cherkasov, I. D. Estimation of coefficients of a stochastic differential equation. (Russian) Zbl 0793.60061 Lumel’skij, Ya. P. (ed.), Statistical methods of estimation and hypothesis testing. Interuniversity collection of scientific works. Perm’: Permskij Gosudarstvennyj Universitet, 107-119 (1990). Reviewer: A.Ya.Dorogovtsev (Kiev) MSC: 60H10 62M05 PDF BibTeX XML
Cherkasov, I. D. Estimation of parameters of one stochastic differential equation. (English. Russian original) Zbl 0834.60062 J. Math. Sci., New York 75, No. 1, 1453-1460 (1995); translation from Lumel’skij, Ya. P. (ed.), Statistical methods of estimation and hypothesis testing. Interuniv. Coll. Sci. Works. Perm’: Permskij Gosudarstvennyj Univ., 107-119 (1990). MSC: 60H10 62M05 PDF BibTeX XML Cite \textit{I. D. Cherkasov}, J. Math. Sci., New York 75, No. 1, 1453--1460 (1990; Zbl 0834.60062); translation from Lumel'skij, Ya. P. (ed.), Statistical methods of estimation and hypothesis testing. Interuniv. Coll. Sci. Works. Perm': Permskij Gosudarstvennyj Univ., 107--119 (1990) Full Text: DOI
Cherkasov, I. D. Transformation of one-dimensional diffusion fields on the plane. (Russian) Zbl 0647.60059 Serdica 14, No. 1, 106-118 (1988). Reviewer: J.M.Stoyanov MSC: 60G60 60H10 60J60 PDF BibTeX XML Cite \textit{I. D. Cherkasov}, Serdica 14, No. 1, 106--118 (1988; Zbl 0647.60059)
Cherkasov, I. D. Transformation of diffusion processes and their applications. Book 2. (Preobrazovaniya diffuzionnykh protsessov i ikh primeneniya. Kniga 2.) (Russian) Zbl 0701.60075 Saratov: Izdatel’stvo Saratovskogo Universiteta. 120 p. R. 1.00 (1988). Reviewer: B.G.Konopelchenko MSC: 60J60 35K57 76R50 60-02 PDF BibTeX XML Cite \textit{I. D. Cherkasov}, Preobrazovaniya diffuzionnykh protsessov i ikh primeneniya. Kniga 2 (Russian). Saratov: Izdatel'stvo Saratovskogo Universiteta (1988; Zbl 0701.60075)
Cherkasov, I. D. Transformations of diffusion processes and their applications. Book 1. (Preobrazovaniya diffuzionnykh protsessov i ikh primeneniya. Kniga 1.) (Russian) Zbl 0701.60074 Saratov: Izdatel’stvo Saratovskogo Universiteta. 160 p. R. 1.40 (1988). Reviewer: B.G.Konopelchenko MSC: 60J60 60J70 35K57 76R50 60-02 PDF BibTeX XML Cite \textit{I. D. Cherkasov}, Preobrazovaniya diffuzionnykh protsessov i ikh primeneniya. Kniga 1 (Russian). Saratov: Izdatel'stvo Saratovskogo Universiteta (1988; Zbl 0701.60074)
Cherkasov, I. D. Transformation of one-dimensional diffusion fields in the plane. (English. Russian original) Zbl 0627.60052 Sov. Math., Dokl. 35, 56-58 (1987); translation from Dokl. Akad. Nauk SSSR 292, 276-279 (1987). Reviewer: G.Zbaganu MSC: 60G60 60H10 60J60 PDF BibTeX XML Cite \textit{I. D. Cherkasov}, Sov. Math., Dokl. 35, 56--58 (1987; Zbl 0627.60052); translation from Dokl. Akad. Nauk SSSR 292, 276--279 (1987)
Cherkasov, I. D. Transformation of a one-dimensional diffusion process into a Wiener process with use of a random change of phase space. (English. Russian original) Zbl 0607.60044 Sov. Math., Dokl. 33, 560-564 (1986); translation from Dokl. Akad. Nauk SSSR 287, 1329-1334 (1986). Reviewer: H.Gzyl MSC: 60H10 60J60 28C20 PDF BibTeX XML Cite \textit{I. D. Cherkasov}, Sov. Math., Dokl. 33, 560--564 (1986; Zbl 0607.60044); translation from Dokl. Akad. Nauk SSSR 287, 1329--1334 (1986)
Cherkasov, I. D. Optimal evasion of a diffusion process from stable deterministic pursuit. (English) Zbl 0587.60075 J. Sov. Math. 32, 676-686 (1986). MSC: 60J60 60J70 PDF BibTeX XML Cite \textit{I. D. Cherkasov}, J. Sov. Math. 32, 676--686 (1986; Zbl 0587.60075) Full Text: DOI
Cherkasov, I. D. Optimal deviation of a diffusion process from a stable deterministic pursuit. (Russian) Zbl 0567.60078 Problems of stability of stochastic models, Proc. Semin., Moskva 1983, 108-116 (1983). MSC: 60J60 60J70 PDF BibTeX XML
Cherkasov, I. D. Wienerization of diffusion processes. (English. Russian original) Zbl 0473.60066 Sov. Math., Dokl. 23, 134-137 (1981); translation from Dokl. Akad. Nauk SSSR 256, 798-801 (1981). MSC: 60J60 58J65 PDF BibTeX XML Cite \textit{I. D. Cherkasov}, Sov. Math., Dokl. 23, 134--137 (1981; Zbl 0473.60066); translation from Dokl. Akad. Nauk SSSR 256, 798--801 (1981)
Cherkasov, I. D. Transformation of diffusion equations by Kolmogorov’s method. (English) Zbl 0458.60075 Sov. Math., Dokl. 21, 175-180 (1980). MSC: 60J60 60J35 60J65 PDF BibTeX XML Cite \textit{I. D. Cherkasov}, Sov. Math., Dokl. 21, 175--180 (1980; Zbl 0458.60075)
Cherkasov, I. D. On the theory of optimal control of diffusion processes according to rapidity. (English) Zbl 0457.49010 Russ. Math. Surv. 35, No. 1, 211-212 (1980). MSC: 49J30 60J60 49L99 90C39 49L20 PDF BibTeX XML Cite \textit{I. D. Cherkasov}, Russ. Math. Surv. 35, No. 1, 211--212 (1980; Zbl 0457.49010) Full Text: DOI
Cherkasov, I. D. Zur Theorie der optimalen Regelung vermittels schnell wirkender Diffusionalprozesse. (Russian) Zbl 0432.49005 Usp. Mat. Nauk 35, No. 1(211), 217-218 (1980). MSC: 49J30 60J60 49L99 90C39 49L20 PDF BibTeX XML Cite \textit{I. D. Cherkasov}, Usp. Mat. Nauk 35, No. 1(211), 217--218 (1980; Zbl 0432.49005)
Cherkasov, I. D. Separation of a multidimensional diffusion process by the method of coordinate transformation. (English) Zbl 0268.60071 Select. Translat. Math. Statist. Probab. 13, 169-179 (1973). MSC: 60J60 60J65 PDF BibTeX XML Cite \textit{I. D. Cherkasov}, Sel. Transl. Math. Stat. Probab. 13, 169--179 (1973; Zbl 0268.60071)
Cherkasov, I. D. One-dimensional diffusion processes in variable regions and their equivalence to locally Wiener processes. (English) Zbl 0226.60097 Select. Translat. Math. Statist. Probab. 9, 219-232 (1971). MSC: 60J60 PDF BibTeX XML Cite \textit{I. D. Cherkasov}, Sel. Transl. Math. Stat. Probab. 9, 219--232 (1971; Zbl 0226.60097)
Cherkasov, I. D. Transformation of a special diffusion process to a Wiener process. (English) Zbl 0209.19402 Select. Transl. Math. Stat. Probab. 7, 134-138 (1968). MSC: 60J60 PDF BibTeX XML Cite \textit{I. D. Cherkasov}, Sel. Transl. Math. Stat. Probab. 7, 134--138 (1968; Zbl 0209.19402)
Cherkasov, I. D. Der verallgemeinerte integrale Grenzwertsatz und seine Anwendung auf die Interpolationstheorie. (Russian) Zbl 0294.60016 Bul. Inst. Politeh. Iaşi, N. Ser. 12(16), No. 1-2, 107-110 (1966). MSC: 60F05 41A05 PDF BibTeX XML Cite \textit{I. D. Cherkasov}, Bul. Inst. Politeh. Iaşi, N. Ser. 12(16), No. 1--2, 107--110 (1966; Zbl 0294.60016)
Cherkasov, I. D. Conditions for the homogeneity of a diffusion process with polynomial coefficients of diffusion and translation. (Bedingungen für die Homogenität eines Diffusionsprozesses mit Polynom-Koeffizienten der Diffusion und Translation.) (Russian. English summary) Zbl 0137.11603 Bull. Acad. Pol. Sci., Sér. Sci. Math. Astron. Phys. 12, 747-752 (1964). Reviewer: P. Mandl MSC: 60J60 PDF BibTeX XML Cite \textit{I. D. Cherkasov}, Bull. Acad. Pol. Sci., Sér. Sci. Math. Astron. Phys. 12, 747--752 (1964; Zbl 0137.11603)
Cherkasov, I. D. Berechnung der Übergangswahrscheinlichkeiten mehrdimensionaler Brownscher Bewegungen in gewissen Spezialfällen. (Russian) Zbl 0245.60061 Acad. Republ. popul. Roumaine, Revue Math. pur. Appl. 8, 415-420 (1963). MSC: 60J65 PDF BibTeX XML Cite \textit{I. D. Cherkasov}, Acad. Republ. Popul. Roum., Rev. Math. Pur. Appl. 8, 415--420 (1963; Zbl 0245.60061)
Cherkasov, I. D. To the theory of one-dimensional branching processes with continuous time. (Russian) Zbl 0211.21401 Bul. Inst. Politeh. Iaşi, N. Ser. 9(13), No. 1-2, 51-58 (1963). MSC: 60J80 PDF BibTeX XML Cite \textit{I. D. Cherkasov}, Bul. Inst. Politeh. Iaşi, N. Ser. 9(13), No. 1--2, 51--58 (1963; Zbl 0211.21401)
Cherkasov, I. D. Criteria for coordinate-homogeneity for continuous Markov processes. (English. Russian original) Zbl 0209.49501 Theor. Probab. Appl. 5(1960), 210-215 (1961); translation from Teor. Veroyatn. Primen. 5, 229-237 (1960). MSC: 60J25 PDF BibTeX XML Cite \textit{I. D. Cherkasov}, Theory Probab. Appl. 5, 210--215 (1961; Zbl 0209.49501); translation from Teor. Veroyatn. Primen. 5, 229--237 (1960) Full Text: DOI