Papers by S.Sagitov

Ph. D. thesis manuscript

1. Sagitov, S. Limit theorems for critical branching processes. (Russian) Ph. D. thesis manuscript, Moscow, Steklov Math. Institute (1983), 96 pp.

Critical branching processes with immigration:

2.. Sagitov, S. Critical branching processes with several types of particles and with immigration. (Russian) Teor. Veroyatnost. i Primen. 27 (1982), no. 2, 348-353.
3.. Sagitov, S. Zero-hitting probability for a critical branching process with immigration. (Russian) Izv. Akad. Nauk Kazakh. SSR Ser. Fiz.-Mat. (1982), no. 5, 63-65.
4.. Sagitov, S. Limit theorems for multidimentional critical branching processes with immigration. (Russian) Dokl. Akad. Nauk SSSR 271(1983), no. 5, 1066-1069.

Age-dependent critical branching processes:

5.. Sagitov, S. Limit theorem for a critical branching process of general type. (Russian) Mat. Zametki 34 (1983), no. 3, 453-461.
6.. Sagitov, S. Limit behavior of general branching processes. (Russian) Mat. Zametki 39 (1986), no. 1, 144-155.
7.. Sagitov, S. Total progeny of a critical branching process. Proceedings of the 1st World congress of the Bernoulli society, Vol. 2 (Tashkent, 1986), 713-715, VNU Sci. Press, Utrecht, 1987.
8.. Sagitov, S. Multidimentional limit theorems for a branching process with one type of particles. (Russian) Mat. Zametki 42 (1987), no. 1, 157-165.
9.. Sagitov, S. A general critical branching process with regularly varying survival probability. Chalmers University of Technology, Math. Dept., Preprint no. 17 (1993), 15 pp.
10. Vatutin, V.A. and Sagitov, S. A critical branching process: the remote past given a favorable present. Theory Probab. Appl (1991), no. 1, 86-98.

Convergence to continuous-state branching processes:

11. Sagitov, S. A multidimentional critical branching process generated by a large number of particles of a single type. Theory Probab. Appl. 35 (1990), no.1, 118-130.
12. Sagitov, S. Convergence of critical $\chi$-counted branching processes to a continuous-state branching process. Chalmers University of Technology, Math. Dept., Preprint no. 39 (1992), 34 pp.
13 Sagitov, S.. General branching processes: convergence to Jirina processes. Stability problems for stochastic models (Kirillov, 1989). J. Math. Sci. 69 (1994), no.4, 1199-1206.
14. Sagitov, S. A key limit theorem for critical branching processes. Stochastic Process. Appl. 56 (1995), no. 1, 87--100.

Decomposable branching processes:

15. Sagitov, S. and Vatutin, V.A. A decomposable critical branching process with two types of particles. (Russian) Probabilistic problems of discrete mathematics. Trudy Mat. Inst. Steklov. 177 (1986), 3-20.
16. Sagitov, S. and Vatutin, V.A. A decomposable critical Bellman-Harris branching process with two types of particles. (Russian) Dokl. Akad. Nauk SSSR 291(1986), no. 5, 1040-1043.
17. Sagitov, S. and Vatutin, V.A. A decomposable critical Bellman-Harris branching process with two types of particles. I. Theory Probab. 33 (1988), no. 3, 460-472.
18. Sagitov, S. and Vatutin, V.A. Critical decomposable Bellman-Harris processes with two types of particles, which are "far from" Markov processes. Math. Notes 43(1988), no. 1-2, 157-161.
19. Sagitov, S. and Vatutin, V.A. A decomposable critical Bellman-Harris branching process with two types of particles. II. Theory Probab. 34 (1989), no. 2, 216-227.

Renewal theory:

20. Sagitov, S. On the renewal theory in triangle array. Uppsala University, Math. Dept., Preprint no. 15 (1994), 7 pp.

Measure-valued branching processes:

21. Sagitov, S. A Bellman-Harris branching process that starts with a large number of particles. Soviet Math. Dokl. 42 (1991), no. 2, 372-375.
22. Sagitov, S. Measure-branching renewal processes. Stochastic Process. Appl. 52 (1994), no. 2, 293--307.
23. Kaj, I. and Sagitov, S. Superprocess approximation for a spatially homogeneous branching walk. Electron. Comm. Probab. (1997), 59-70 (electronic).
24. Kaj, I. and Sagitov, S. Limit processes for age-dependent branching particle systems. J. Theor. Prob. 11 (1998) 225-257.

Explosive branching processes:

25. Sagitov, S. On a nonregular branching process. Theory Probab. Appl. 40 (1995), no. 3, 575--577.

State-dependent branching processes:

26. Sagitov S. Linear growth in the multitype Galton-Watson process with density-dependent reproduction. Chalmers University of Technology, Math. Dept., Preprint no. 30 (1998), 24 pp.
27. Jagers P. and Sagitov, S. The growth of general population-size-dependent branching processes year by year. J. Appl. Prob. 37 (2000), No.1, p. 1-14.