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
2.
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
3.
M. M. Leri, Yu. L. Pavlov, “Local treelike structure in the power-law configuration graphs”, Inform. Primen., 18:1 (2024), 46–53
4.
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
2023
5.
Yu. L. Pavlov, “On the maximal Galton-Watson forest tree with infinite variance of the offspring”, Diskr. Mat., 35:2 (2023), 78–92
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
30.
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
36.
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
37.
Yu. L. Pavlov, “О случайных деревьях”, Tr. Petrozavodsk. Gos. Univ. Ser. Mat., 1993, no. 1, 47–53
1992
38.
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
39.
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
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