Papers by Serik Sagitov

64. Sagitov S., Mehlig B., Rafajlovic M, and Eriksson A. Coalescent algorithms for populations with skewed reproduction, recurrent bottlenecks and selective sweeps (in preparation)
63. Sagitov S. Critical branching processes with overlapping generations (in preparation, current version 50 pages)
62. Sagitov S. and Serra M.C. Skeletons of nearly-critical branching processes with nearly-neutral mutations (in preparation)
61. Sagitov S., Mehlig B., Jagers P., and Vatutin V. Evolutionary branching in a stochastic population model with distinct mutational steps (submitted in April 2012)
60. Sagitov S. and Bartoszek K.
Interspecies correlation for neutrally evolving traits (submitted in March 2012)
59. Sagitov S.
Linear-fractional branching processes with countably many types (submitted in November 2011)
58. Dyakonova E., Vatutin V., and Sagitov S.
Survival of branching processes in random environments.
57. Schaper E., Eriksson A., Rafajlovic M, Sagitov S., and Mehlig B.
Linkage disequilibrium under recurrent bottlenecks. Genetics 190 (2012) 217-229
56.
Klebaner F., Sagitov S., Vatutin V., Haccou P., Jagers P. Stochasticity in the adaptive dynamics of evolution: the bare bones. J. Biol. Dynamics 5 (2011) 147-162
55. Jagers P. and Sagitov S.
Limit theorems for branching processes. In: Encyclopedia of Operations Research and Management Science, Wiley 2011
54. Eriksson A., Mehlig B., Rafajlovic M, and Sagitov S. The total branch length of sample genealogies in populations of variable size. Genetics 186 (2010) 601-611
Preprint version
53. Sagitov S., Jagers P. and Vatutin V. Coalescent approximation for structured populations in a stationary random environment. Theor. Popul. Biol. 78 (2010) 192-199
Preprint version
52. Sagitov S. and Serra M.C. Multitype Bienayme-Galton-Watson processes escaping extinction. Adv. Appl. Prob. 41 (2009) 225-246
51. Särkkä A. and Sagitov S.
Live case studies in a new course on Statistical Consulting. Preprint (2008)
50. Jagers P. and Sagitov S. General branching processes in discrete time as random trees. Bernoulli 14 (2008) 949-962
49. Lagerås A. and Sagitov S.
Reduced branching processes with very heavy tails. J. Appl. Prob. 45 (2008), 190-200
48. Eriksson A., Fernström P., Mehlig B. and Sagitov S. An accurate model for genetic hitchhiking
, Genetics 178 (2008) 439-451.
47. Klebaner F., Rösler U. and Sagitov S. Transformations of Galton-Watson processes and linear fractional reproduction. Adv. Appl. Prob. 39 (2007), 1036-1053
46. Jagers P. and Klebaner F. and Sagitov S. Markovian Paths to Extinction. Adv. Appl. Prob. 39 (2007), 569-587.
45. Jagers P. and Klebaner F. and Sagitov S. On the Path to Extinction. PNAS 104 (2007), 6107--6111.
44. Klebaner F. and Sagitov S. Reversed Galton-Watson processes in the linear fractional case. Chalmers University of Technology, Math. Dept.,
Preprint no. 5 (2005)
43. Sagitov S. and Jagers P. The coalescent effective size of age-structured populations. Ann. Appl. Probab. 15 (2005), 1778-1797 (
pdf)
42. Jagers P. and Sagitov S.
Coalescent processes: reversed branching. In Branching processes: Variation, growth, extinction, by Haccou P., Jagers P. and Vatutin V., Cambridge U. Press (2004)
41.
Jagers P. and Sagitov S. Convergence to the coalescent in populations of substantially varying size. J. Appl. Prob. 41 (2004), no. 2, 368-378.
40. Sagitov S. Convergence to the coalescent with simultaneous multiple mergers. J. Appl. Prob. 40 (2003), 839-854
39. Möhle M. and Sagitov S.
Coalescent patterns in exchangeable diploid population models. J. Math. Biol. 47 (2003) 337-352.
38. Sagitov S. Coexistence of two polygynous mating strategies. Chalmers University of Technology, Math. Dept.,
Preprint no. 95 (2002)
37. Klebaner F. and Sagitov S. The age of a Galton-Watson population with geometric offspring distribution. J. Appl. Prob. 39 (2002), 1-13.
36. Möhle M. and Sagitov S. A classification of coalescent processes for haploid exchangeable population models. Ann. Prob. 29 (2001) 1547-1562. (
pdf)
35.
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.
34. Sagitov S.
The general coalescent with asynchronous mergers of ancestral lines. J. Appl. Prob. 36 (1999), 1116-1125.
33.
Möhle M. and Sagitov S. A classification of ancestral limit processes arising in haploid population genetics models. Berichte zur Stochastik und verwandten Gebieten, Johannes Gutenberg-Universität Mainz, November 1998, issn 0177-0098.
32. 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.
31.
Kaj, I. and Sagitov S. Limit processes for age-dependent branching particle systems. J. Theor. Prob. 11 (1998) 225-257.
30.
Kaj, I. and Sagitov S. Superprocess approximation for a spatially homogeneous branching walk. Electron. Comm. Probab. (1997), 59-70 (electronic).
29. Sagitov S. Limit skeleton for critical Crump-Mode-Jagers branching processes. Classical and modern branching processes (Minneapolis, MN, 1994), 295--303, IMA Vol. Math. Appl., 84, Springer, New York, 1997.
28. Sagitov S. Introduction to financial mathematics. (In Russian) Preprint of the Institute of Theoretical and Applied Mathematics, National Academy of Sciences of Kazakstan, Almaty (1996). Pages
1-19, 20-39, 40-52.
27. Sagitov S. On an explosive branching process. Theory Probab. Appl. 40 (1995), no. 3, 575--577.
26. Sagitov S. A key limit theorem for critical branching processes. Stochastic Process. Appl. 56 (1995), no. 1, 87--100.
25. Sagitov S. Three limit theorems for reduced critical branching processes. Russian Math. Surveys, 50 (1995), no. 5, 1025--1043.
24. Sagitov S. On the renewal theory in triangle array. Uppsala University, Math. Dept., Preprint no. 15 (1994), 7 pp.
23. Sagitov S. Measure-branching renewal processes. Stochastic Process. Appl. 52 (1994), no. 2, 293--307.
22. Sagitov S.
General branching processes: convergence towards Jirina processes. Stability problems for stochastic models (Kirillov, 1989). J. Math. Sci. 69 (1994), no.4, 1199-1206.
21. Sagitov S. A general critical branching process with regularly varying survival probability. Chalmers University of Technology, Math. Dept.,
Preprint no. 17 (1993), 15 pp.
20. 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.
19. Sagitov S. A Bellman-Harris branching process that starts with a large number of particles. Soviet Math. Dokl. 42 (1991), no. 2, 372-375.
18. Sagitov S. and Vatutin, V.A. A critical branching process: the remote past given a favorable present. Theory Probab. Appl (1991), no. 1, 86-98.
17. 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.
16. Sagitov S. Limit behavior of reduced critical branching processes. Soviet Math. Dokl. 38 (1989), no. 3, 488-491.
15. 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.
14. 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.
13. 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.
12. Sagitov S. Multidimentional limit theorems for a branching process with one type of particles. (Russian) Mat. Zametki 42 (1987), no. 1, 157-165.
11. 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.
10. 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.
9. 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.
8. Sagitov S. Limit behavior of general branching processes. (Russian) Mat. Zametki 39 (1986), no. 1, 144-155.
7. Sagitov S. A reduced critical Bellman-Harris branching process with several types of particles. (Russian) Teor. Veroyatnost. i Primen. 30 (1985), no. 4, 737-749.
6. Sagitov S. Limit theorems for critical branching processes. (Russian) Ph. D. thesis manuscript, Moscow, Steklov Math. Institute (1983), 96 pp.
5. Sagitov S. Limit theorem for a critical branching process of general type. (Russian) Mat. Zametki 34 (1983), no. 3, 453-461.
4. Sagitov S. Limit theorems for multidimentional critical branching processes with immigration. (Russian) Dokl. Akad. Nauk SSSR 271(1983), no. 5, 1066-1069.
3. Sagitov S. Common ancestors in critical Bellman-Harris branching processes with several types of particles. (Russian) Izv. Akad. Nauk Kazakh. SSR Ser. Fiz.-Mat. (1982), no. 3, 66-69.
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.
1. 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.