01.01.05 (Probability theory and mathematical statistics)
Birth date:
18.03.1949
E-mail:
Keywords:
random graphs,
limit teorems.
Main publications:
Yu. L. Pavlov. Limit distributions of the number of trees of a given size in a random forest // Discrete Math. Appl., 6, 2, 1996, 117–134.
Yu. L. Pavlov, I. A. Cheplykova. Limit distributions of the number of vertices in the layers of a simply generated forests // Descrete Math. Appl., 9, 1, 1999, 137–154.
N. I. Kazimirov, Yu. L. Pavlov. A remark on the Galton–Watson forests // Descrete Math. Appl., 10, 1, 49–62.
Yu. L. Pavlov. Random Forests. Utrecht: VSP, 2000.
V. V. Mazalov, Yu. L. Pavlov, “XI International Petrozavodsk Conference «Probabilistic Methods in Discrete Mathematics» dedicated to the 90th anniversary of V. F. Kolchin”, Diskr. Mat., 36:3 (2024), 150–151
4.
Yu. L. Pavlov, “On the sizes of trees in a Galton–Watson forest with infinite variance in the critical case”, Diskr. Mat., 36:2 (2024), 33–49
M. M. Leri, Yu. L. Pavlov, “Local treelike structure in the power-law configuration graphs”, Inform. Primen., 18:1 (2024), 46–53
6.
Yu. L. Pavlov, “On the limit distribution of the number of vertices in the levels of a Galton–Watson tree”, Mat. Zametki, 116:3 (2024), 430–437; Math. Notes, 116:3 (2024), 514–520
Yu. L. Pavlov, “On the maximal Galton-Watson forest tree with infinite variance of the offspring”, Diskr. Mat., 35:2 (2023), 78–92; Discrete Math. Appl., 35:3 (2025), 153–164
Yu. L. Pavlov, I. A. Cheplyukova, “Sizes of Trees in a Random Forest and Configuration Graphs”, Trudy Mat. Inst. Steklova, 316 (2022), 298–315; Proc. Steklov Inst. Math., 316 (2022), 280–297
Yu. L. Pavlov, I. A. Cheplyukova, “Limit distributions of the number of vertices of a given degree in a configuration graph with bounded number of edges”, Teor. Veroyatnost. i Primenen., 66:3 (2021), 468–486; Theory Probab. Appl., 66:3 (2021), 376–390
Yu. L. Pavlov, “On the asymptotics of clustering coefficient in a configuration graph with unknown distribution of vertex degrees”, Inform. Primen., 13:3 (2019), 9–13
Yu. L. Pavlov, I. A. Cheplyukova, “On the asymptotics of degree structure of configuration graphs with bounded number of edges”, Diskr. Mat., 30:1 (2018), 77–94; Discrete Math. Appl., 29:4 (2019), 219–232
Yu. L. Pavlov, “Conditional configuration graphs with discrete power-law distribution of vertex degrees”, Mat. Sb., 209:2 (2018), 120–137; Sb. Math., 209:2 (2018), 258–275
Yu. L. Pavlov, E. V. Feklistova, “On limit behavior of maximum vertex degree in a conditional configuration graph near critical points”, Diskr. Mat., 28:2 (2016), 58–70; Discrete Math. Appl., 27:4 (2017), 213–222
Yu. L. Pavlov, E. V. Khvorostyanskaya, “On the limit distributions of the degrees of vertices in configuration graphs with a bounded number of edges”, Mat. Sb., 207:3 (2016), 93–110; Sb. Math., 207:3 (2016), 400–417
Yu. L. Pavlov, E. V. Hvorostyanskaya, “On the maximum size of a tree in the Galton–Watson forest with a bounded number of vertices”, Diskr. Mat., 26:3 (2014), 90–100; Discrete Math. Appl., 24:6 (2014), 363–371
Yu. L. Pavlov, M. M. Stepanov, “Limit distributions of the number of loops in a random configuration graph”, Trudy Mat. Inst. Steklova, 282 (2013), 212–230; Proc. Steklov Inst. Math., 282 (2013), 202–219
Yu. L. Pavlov, T. B. Mylläri, “Limit distributions of the number of vertices of given degree in the forest of a random mapping with a given number of cycles”, Diskr. Mat., 24:1 (2012), 132–139; Discrete Math. Appl., 22:2 (2012), 225–234
E. S. Bernikovich, Yu. L. Pavlov, “On the maximum size of a tree in a random unlabelled unrooted forest”, Diskr. Mat., 23:1 (2011), 3–20; Discrete Math. Appl., 21:1 (2011), 1–21
Yu. L. Pavlov, “On the limit distributions of the vertex degrees of conditional Internet graphs”, Diskr. Mat., 21:3 (2009), 14–23; Discrete Math. Appl., 19:4 (2009), 349–359
Yu. L. Pavlov, I. A. Cheplyukova, “Random graphs of Internet type and the generalised allocation scheme”, Diskr. Mat., 20:3 (2008), 3–18; Discrete Math. Appl., 18:5 (2008), 447–463
Yu. L. Pavlov, “The limit distribution of the size of a giant component in an Internet-type random graph”, Diskr. Mat., 19:3 (2007), 22–34; Discrete Math. Appl., 17:5 (2007), 425–437
Yu. L. Pavlov, “Limit theorems on sizes of trees in a random unlabelled forest”, Diskr. Mat., 17:2 (2005), 70–86; Discrete Math. Appl., 15:2 (2005), 153–170
Yu. L. Pavlov, “Limit theorems for the sizes of trees of an unlabeled graph of a random mapping”, Diskr. Mat., 16:3 (2004), 63–75; Discrete Math. Appl., 14:4 (2004), 329–342
Yu. L. Pavlov, E. V. Cherepanova, “Limit distribution for the number of pairs in a generalized scheme of arrays”, Diskr. Mat., 14:3 (2002), 149–159; Discrete Math. Appl., 12:4 (2002), 421–429
32.
Yu. L. Pavlov, E. A. Loseva, “Limit distributions of the maximum size of a tree in a random recursive forest”, Diskr. Mat., 14:1 (2002), 60–74; Discrete Math. Appl., 12:1 (2002), 45–59
Yu. L. Pavlov, I. A. Cheplyukova, “Limit distributions of the number of vertices in strata of a simply generated forest”, Diskr. Mat., 11:1 (1999), 97–112; Discrete Math. Appl., 9:2 (1999), 137–154
Yu. L. Pavlov, “Limit distribution of the number of trees of given size in a random forest”, Diskr. Mat., 8:2 (1996), 31–47; Discrete Math. Appl., 6:2 (1996), 117–133
Yu. L. Pavlov, “Limit distributions for the maximum size of a tree in a random forest”, Diskr. Mat., 7:3 (1995), 19–32; Discrete Math. Appl., 5:4 (1995), 301–315
V. N. Zeml'ahenko, Yu. L. Pavlov, “К вопросу о связи ветвящихся процессов и случайных деревьев”, Tr. Petrozavodsk. Gos. Univ. Ser. Mat., 1995, no. 2, 31–43
1994
38.
Yu. L. Pavlov, “Limit distributions of the height of a random forest consisting of plane rooted trees”, Diskr. Mat., 6:1 (1994), 137–154; Discrete Math. Appl., 4:1 (1994), 73–88
1993
39.
Yu. L. Pavlov, “О случайных деревьях”, Tr. Petrozavodsk. Gos. Univ. Ser. Mat., 1993, no. 1, 47–53
1992
40.
Yu. L. Pavlov, “Some properties of plane trees with a hanging root”, Diskr. Mat., 4:2 (1992), 61–65; Discrete Math. Appl., 3:1 (1993), 97–102
1988
41.
Yu. L. Pavlov, “Distribution of Nodes in Layers of Random Forest”, Teor. Veroyatnost. i Primenen., 33:1 (1988), 105–114; Theory Probab. Appl., 33:1 (1988), 96–104
Yu. L. Pavlov, “Random mappings with constraints on the number of cycles”, Trudy Mat. Inst. Steklov., 177 (1986), 122–132; Proc. Steklov Inst. Math., 177 (1988), 131–142
Yu. L. Pavlov, “Limit distributions of the height of a random forest”, Teor. Veroyatnost. i Primenen., 28:3 (1983), 449–457; Theory Probab. Appl., 28:3 (1984), 471–480
Yu. L. Pavlov, “Limit distributions of a characteristic of a random mapping”, Teor. Veroyatnost. i Primenen., 26:4 (1981), 841–847; Theory Probab. Appl., 26:4 (1982), 829–834
Yu. L. Pavlov, “A case of limit distribution of the maximal volume on a tree in a random forest”, Mat. Zametki, 25:5 (1979), 751–760; Math. Notes, 25:5 (1979), 387–392
Yu. L. Pavlov, “Limit theorems for the number of trees of a given size in a random forest”, Mat. Sb. (N.S.), 103(145):3(7) (1977), 392–403; Math. USSR-Sb., 32:3 (1977), 335–345
Yu. L. Pavlov, “The asymptotic distribution of maximum tree size in a random forest”, Teor. Veroyatnost. i Primenen., 22:3 (1977), 523–533; Theory Probab. Appl., 22:3 (1978), 509–520
V. B. Alekseev, V. A. Vatutin, V. A. Emelichev, Yu. L. Ershov, G. I. Ivchenko, V. V. Kochergin, Yu. V. Matiyasevich, Yu. I. Medvedev, Yu. L. Pavlov, B. A. Pogorelov, È. A. Primenko, L. Ya. Savel'ev, V. N. Sachkov, S. A. Stepanov, Yu. S. Kharin, V. N. Chubarikov, D. A. Shabanov, “Zubkov Andrey Mikhailovich (30.12.1946–06.08.2025)”, Diskr. Mat., 37:3 (2025), 3–5
2016
49.
S. A. Aivazyan, V. B. Alekseev, V. A. Vatutin, M. M. Glukhov, A. A. Grusho, V. A. Emelichev, A. M. Zubkov, G. I. Ivchenko, O. M. Kasim-zade, V. A. Kashtanov, I. N. Kovalenko, V. B. Kudryavtsev, V. V. Mazalov, Yu. V. Matiyasevich, Yu. I. Medvedev, V. G. Mikhailov, Yu. L. Pavlov, B. A. Pogorelov, È. A. Primenko, L. Ya. Savel'ev, V. N. Sachkov, S. A. Stepanov, V. P. Chistyakov, V. N. Chubarikov, “Валентин Федорович Колчин (1934–2016)”, Diskr. Mat., 28:4 (2016), 3–5
Presentations in Math-Net.Ru
1.
Об объемах деревьев в лесах Гальтона-Ватсона Yu. L. Pavlov Branching processes and discrete mathematics, a conference dedicated to the 100th
anniversary of Sevastyanov's birth October 3, 2023 12:05
2.
New results on random forests Yu. Pavlov International Conference "Branching Processes, Random Walks and Probability on Discrete Structures" June 23, 2022 10:30