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, “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
2.
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
2015
3.
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
2012
4.
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
2011
5.
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
2002
6.
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
1996
7.
V. V. Goryainov, “Evolution families of analytic functions and time-inhomogeneous
Markov branching processes”, Dokl. Akad. Nauk, 347:6 (1996), 729–731
8.
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
1993
9.
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
10.
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
1991
11.
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
12.
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
1986
13.
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, 10, 40–47; Soviet Math. (Iz. VUZ), 30:10 (1986), 54–63
14.
V. V. Goryainov, “Semigroups of conformal mappings”, Mat. Sb. (N.S.), 129(171):4 (1986), 451–472; Math. USSR-Sb., 57:2 (1987), 463–483
1983
15.
V. V. Goryainov, “The parametric method and extremal conformal mappings”, Dokl. Akad. Nauk SSSR, 271:5 (1983), 1052–1055
1982
16.
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, 7, 72–74; Soviet Math. (Iz. VUZ), 26:7 (1982), 91–94
1980
17.
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
1979
18.
V. V. Goryainov, “On the parametric representation of univalent functions”, Dokl. Akad. Nauk SSSR, 245:5 (1979), 1038–1041
1975
19.
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
20.
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
21.
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
22.
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
23.
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
24.
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
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