Geometric function theory, univalent function theory, semigroup of analytic function and applications, branching processes theory.
Biography
1965–1970 — student of Donetsk State University;
1970–1974 — postgraduate course at the Institute of Applied Mathematics and Mechanics of the Ukranian Academy of Sciences (Donetsk);
1974–1996 — scientist of the Institute of Applied Mathematics and Mechanics of the Ukranian Academy of Sciences (Donetsk);
1996–2013 — professor of Volzhsky Institute of Humanities of Volgograd State University;
2013–now — professor of Moscow Institute of Physics and Technology (State University).
V. V. Goryainov, O. S. Kudryavtseva, A. P. Solodov, “Estimate for domain of univalence on the class of holomorphic self-maps of a disc with two boundary fixed points”, Dokl. RAN. Math. Inf. Proc. Upr., 512 (2023), 96–101; Dokl. Math., 108:1 (2023), 326–330
V. V. Goryainov, O. S. Kudryavtseva, A. P. Solodov, “Iterates of holomorphic maps, fixed points, and domains of univalence”, Uspekhi Mat. Nauk, 77:6(468) (2022), 3–68; Russian Math. Surveys, 77:6 (2022), 959–1020
V. V. Goryainov, “Holomorphic mappings of the unit disc into itself with two fixed points”, Mat. Sb., 208:3 (2017), 54–71; Sb. Math., 208:3 (2017), 360–376
V. V. Goryainov, “Holomorphic Mappings of a Strip into Itself with Bounded Distortion at Infinity”, Trudy Mat. Inst. Steklova, 298 (2017), 101–111; Proc. Steklov Inst. Math., 298 (2017), 94–103
V. V. Goryainov, “Evolution families of conformal mappings with fixed points and the Löwner-Kufarev equation”, Mat. Sb., 206:1 (2015), 39–68; Sb. Math., 206:1 (2015), 33–60
V. V. Goryainov, “Semigroups of analytic functions in analysis and applications”, Uspekhi Mat. Nauk, 67:6(408) (2012), 5–52; Russian Math. Surveys, 67:6 (2012), 975–1021
V. V. Goryainov, O. S. Kudryavtseva, “One-parameter semigroups of analytic functions, fixed points and the Koenigs function”, Mat. Sb., 202:7 (2011), 43–74; Sb. Math., 202:7 (2011), 971–1000
V. V. Goryainov, “Koenigs function and fractional iterates of probability generating functions”, Mat. Sb., 193:7 (2002), 69–86; Sb. Math., 193:7 (2002), 1009–1025
V. V. Goryainov, “Evolution families of analytic functions and time-inhomogeneous
Markov branching processes”, Dokl. Akad. Nauk, 347:6 (1996), 729–731
10.
V. V. Goryainov, A. A. Polkovnikov, “On limit probability distributions for subcritical branching processes”, Teor. Veroyatnost. i Primenen., 41:2 (1996), 417–425; Theory Probab. Appl., 41:2 (1997), 352–359
V. V. Goryainov, “The embedding of iterations of probability-generating functions into continuous semigroups”, Dokl. Akad. Nauk, 330:5 (1993), 539–541; Dokl. Math., 47:3 (1993), 554–557
12.
V. V. Goryainov, “Fractional iteration of probability generating functions and imbedding discrete branching processes in continuous processes”, Mat. Sb., 184:5 (1993), 55–74; Russian Acad. Sci. Sb. Math., 79:1 (1994), 47–61
V. V. Goryainov, “Semigroups of analytic functions, and branching processes”, Dokl. Akad. Nauk SSSR, 318:5 (1991), 1046–1049; Dokl. Math., 43:3 (1991), 826–829
V. V. Goryainov, “Fractional iterates of functions analytic in the unit disk, with given fixed points”, Mat. Sb., 182:9 (1991), 1281–1299; Math. USSR-Sb., 74:1 (1993), 29–46
V. V. Goryaĭnov, “A general uniqueness theorem and the geometry of extremal conformal mappings in problems of distortion and rotation”, Izv. Vyssh. Uchebn. Zaved. Mat., 1986, no. 10, 40–47; Soviet Math. (Iz. VUZ), 30:10 (1986), 54–63
V. V. Goryainov, “The parametric method and extremal conformal mappings”, Dokl. Akad. Nauk SSSR, 271:5 (1983), 1052–1055
1982
18.
V. V. Goryainov, “Boundary functions of a system of functionals composed of values of a univalent function and its derivative”, Izv. Vyssh. Uchebn. Zaved. Mat., 1982, no. 7, 72–74; Soviet Math. (Iz. VUZ), 26:7 (1982), 91–94
1980
19.
V. V. Goryainov, “Parametric method in the theory of univalent functions”, Mat. Zametki, 27:4 (1980), 559–568; Math. Notes, 27:4 (1980), 275–279
V. V. Goryainov, “A rotation theorem in the class of bounded univalent functions”, Mat. Zametki, 18:5 (1975), 633–640; Math. Notes, 18:5 (1975), 967–971
2018
22.
A. I. Aptekarev, V. K. Beloshapka, V. I. Buslaev, V. V. Goryainov, V. N. Dubinin, V. A. Zorich, N. G. Kruzhilin, S. Yu. Nemirovski, S. Yu. Orevkov, P. V. Paramonov, S. I. Pinchuk, A. S. Sadullaev, A. G. Sergeev, S. P. Suetin, A. B. Sukhov, K. Yu. Fedorovskiy, A. K. Tsikh, “Evgenii Mikhailovich Chirka (on his 75th birthday)”, Uspekhi Mat. Nauk, 73:6(444) (2018), 204–210; Russian Math. Surveys, 73:6 (2018), 1137–1144
23.
L. A. Aksent'ev, A. I. Aptekarev, A. M. Bikchentaev, V. V. Goryainov, V. N. Dubinin, A. M. Elizarov, I. R. Kayumov, A. Laptev, S. R. Nasyrov, D. V. Prokhorov, A. G. Sergeev, V. D. Stepanov, “Farit Gabidinovich Avkhadiev (on his 70th birthday)”, Uspekhi Mat. Nauk, 73:1(439) (2018), 187–190; Russian Math. Surveys, 73:1 (2018), 181–185
2016
24.
M. V. Balashov, O. V. Besov, B. I. Golubov, V. V. Goryainov, V. N. Diesperov, S. I. Dudov, G. E. Ivanov, S. P. Konovalov, R. V. Konstantinov, A. B. Kurzhanskii, S. R. Nasyrov, A. G. Sergeev, V. V. Starkov, V. M. Tikhomirov, M. I. Shabunin, “Evgenii Sergeevich Polovinkin (on his 70th birthday)”, Uspekhi Mat. Nauk, 71:5(431) (2016), 187–190; Russian Math. Surveys, 71:5 (2016), 983–987
2014
25.
F. G. Avkhadiev, V. A. Botvinnik, S. K. Vodop'yanov, M. Vuorinen, V. M. Gol'dstein, V. V. Goryainov, A. A. Grigor'yan, V. N. Dubinin, I. V. Zhuravlev, V. A. Zorich, V. M. Kesel'man, A. A. Klyachin, V. A. Klyachin, T. G. Latfullin, A. V. Loboda, A. G. Losev, O. Martio, V. I. Pelikh, S. I. Pinchuk, Yu. G. Reshetnyak, A. S. Romanov, A. G. Sergeev, V. G. Tkachev, E. M. Chirka, “Vladimir Mikhailovich Miklyukov (obituary)”, Uspekhi Mat. Nauk, 69:3(417) (2014), 173–176; Russian Math. Surveys, 69:3 (2014), 565–568
1993
26.
I. A. Aleksandrov, Yu. E. Alenitsin, V. I. Belyi, V. V. Goryainov, A. Z. Grinshpan, V. Ya. Gutlyanskii, S. L. Krushkal', N. M. Matveev, V. I. Milin, I. P. Mityuk, S. V. Nikitin, W. P. Odinets, Yu. G. Reshetnyak, P. M. Tamrazov, N. A. Shirokov, “Isaak Moiseevich Milin (obituary)”, Uspekhi Mat. Nauk, 48:4(292) (1993), 167–168; Russian Math. Surveys, 48:4 (1993), 181–183