01.01.06 (Mathematical logic, algebra, and number theory)
Birth date:
6.09.1941
Keywords:
local theorem; concentration function; inverse additive problem.
Main publications:
Yudin A. A. Asymptotics of Dirichlet's kernel for spherical means // Dokl. Math. 51, no. 2, 251–252 (1995); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 341, ¹ 5, 598–599 (1995).
Yudin A. A., Yudin V. A. On Jackson's theorems in $L_2$ // Math. Notes, 48, no. 4, 1071–1074 (1990); translation from Mat. Zametki, 48, ¹ 4, 152–157 (1990).
Posrnikov A. G., Yudin A. A. Estimating the maximum probability for a sum of independent vectors // Theory Probab. Appl. 32, no. 2, 331–334 (1987); translation from Teor. Veroyatn. Primen., 32, ¹ 2, 358–361 (1987).
Moskvin D. A., Freiman G. A., Yudin A. A. Structure theory of set addition and local limit theorems for independend lattice random variables // Theory Probab. Appl., 19, 53–64 (1974); translation from Teor. Verojatn. Primen., 19, 52–62 (1974).
E. P. Davletyarova, A. A. Zhukova, A. A. Yudin, “Estimating the cardinality of a difference subset of the discrete multi-torus $\mathbb Z^n_3$”, Fundam. Prikl. Mat., 16:6 (2010), 23–32; J. Math. Sci., 182:4 (2012), 456–462
2009
2.
E. P. Davletyarova, A. A. Zhukova, A. A. Yudin, “On maximal set without parallelograms”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2009, no. 8(74), 5–14
M. B. Khripunova, A. A. Yudin, “Estimate of the Concentration Function for a Class of Additive Functions”, Mat. Zametki, 82:4 (2007), 598–605; Math. Notes, 82:4 (2007), 535–541
V. G. Zhuravlev, A. A. Yudin, “Random walks on plane crystallographic groups”, Zap. Nauchn. Sem. POMI, 276 (2001), 204–218; J. Math. Sci. (N. Y.), 118:1 (2003), 4852–4860
1995
5.
A. A. Yudin, “Asymptotics of the Dirichlet kernel for spherical means”, Dokl. Akad. Nauk, 341:5 (1995), 598–599
1990
6.
A. A. Yudin, V. A. Yudin, “On Jackson's theorems in $L_2$”, Mat. Zametki, 48:4 (1990), 152–157; Math. Notes, 48:4 (1990), 1071–1074
A. G. Postnikov, A. A. Yudin, “An Estimate of the Maximum Probability for the Sum of Independent Vectors”, Teor. Veroyatnost. i Primenen., 32:2 (1987), 358–361; Theory Probab. Appl., 32:2 (1987), 331–334
A. A. Yudin, V. A. Yudin, “Polygonal Dirichlet Kernels and growth of Lebesgue constants”, Mat. Zametki, 37:2 (1985), 220–236; Math. Notes, 37:2 (1985), 124–135
A. G. Postnikov, A. A. Judin, “On an estimate of the concentration function for the sum of identically distributed two-dimensional independent lattice random vectors”, Teor. Veroyatnost. i Primenen., 26:1 (1981), 156–160; Theory Probab. Appl., 26:1 (1981), 152–156
L. P. Postnikova, A. A. Yudin, “A sharpened form of the inequality for the concentration function”, Teor. Veroyatnost. i Primenen., 23:2 (1978), 376–379; Theory Probab. Appl., 23:2 (1979), 359–362
L. P. Postnikova, A. A. Yudin, “An analytic method for estimates of the concentration function”, Trudy Mat. Inst. Steklov., 143 (1977), 143–151; Proc. Steklov Inst. Math., 143 (1980), 153–161
13.
L. P. Postnikova, A. A. Yudin, “On the concentration function”, Teor. Veroyatnost. i Primenen., 22:2 (1977), 371–375; Theory Probab. Appl., 22:2 (1978), 362–366
D. A. Moskvin, G. A. Freiman, A. A. Yudin, “Structure theory of summing sets and local limit theorems, for independent lattice random variables”, Teor. Veroyatnost. i Primenen., 19:1 (1974), 52–62; Theory Probab. Appl., 19:1 (1974), 53–64
D. A. Moskvin, L. P. Postnikova, A. A. Yudin, “On an arithmetical method in theory of the local limit theorem for lattice distribution”, Teor. Veroyatnost. i Primenen., 15:1 (1970), 86–96; Theory Probab. Appl., 15:1 (1970), 87–97
D. A. Moskvin, A. A. Yudin, “An analytic method of obtaining estimates for the decrease of the concentration function of sums of independent random variables”, Uchenye Zapiski Kazanskogo Universiteta, 130:3 (1970), 41–50
2003
17.
G. I. Arkhipov, V. G. Zhuravlev, V. A. Iskovskikh, A. A. Karatsuba, M. B. Levina-Khripunova, V. N. Chubarikov, A. A. Yudin, “Nikolai Mikhailovich Timofeev (obituary)”, Uspekhi Mat. Nauk, 58:4(352) (2003), 135–138; Russian Math. Surveys, 58:4 (2003), 773–776
V. S. Vladimirov, A. A. Dezin, A. A. Karatsuba, L. D. Kudryavtsev, M. P. Mineev, S. M. Nikol'skii, L. P. Postnikova, Yu. V. Prokhorov, V. N. Chubarikov, A. B. Shidlovskii, A. A. Yudin, “Aleksei Georgievich Postnikov (obituary)”, Uspekhi Mat. Nauk, 53:1(319) (1998), 202–206; Russian Math. Surveys, 53:1 (1998), 199–204
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