Bellman–Harris processes,
catalytic branching random walk, catalytic branching process, Markov chains,
hitting times under taboo, limit theorems (in the strong and weak forms), analysis of spatial-temporal spread of particles population.
Branching processes, Markov chains, random walks, branching random walks
Biography
Bulinskaya Ekaterina Vladimirovna (née Zakharieva) was born on December 23, 1986, in Voronezh. There she graduated from secondary school no. 38 with a gold medal. As the winner of the region competition in mathematics, in 2004 she entered the Faculty of Mathematics and Mechanics of Lomonosov Moscow State University without any preliminary examination. In 2008 she was awarded the Lomonosov scholarship for achievements in study and scientific work. In 2009 she graduated from the Department of Probability Theory of the Faculty of Mathematics and Mechanics of Lomonosov Moscow State University with honors (with superior academic average).
From 2009 till 2012 she was a PhD-student of the Department of Probability Theory (her scientific advisor was Professor E.B. Yarovaya). In 2011 E.V. Bulinskaya was awarded the President scholarship for achievements in scientific work. In April 2012 ahead of time she submitted to the Council of the Faculty of Mathematics and Mechanics her PhD-thesis "Bellman-Harris Branching Processes and their Applications to Branching Random Walks" based on 13 works without co-authors. The defense of the thesis took place on October 5, 2012. The Scientific Council officially appreciated her PhD-thesis as outstanding investigation.
The scientific interests of E.V. Bulinskaya are related to modern theory of branching processes and random walks. In particular, for the first time in the model of catalytic branching random walk she obtained a complete description of limit distributions of local particles numbers depending on dimension of integer lattice. E.V. Bulinskaya announced her results on international conferences held in Russian Federation as well as in foreign countries.
In 2012 E.V. Bulinskaya became a winner of the competition of young mathematicians of Russia held by the Dmitry Zimin Foundation "Dynasty".
In 2012 she also became a laureate of the competition (founded by O.V. Deripaska) of scientific works by talented students, PhD-students and young researchers from Lomonosov Moscow State University. In 2013 E.V. Bulinskaya was awarded the Lomonosov Moscow State University scholarship for achievements in scientific work.
In April 2012 she was taken as Assistant Professor and in June 2014 as Associate Professor to the Department of Mathematical Statistics and Stochastic Processes. Now she conducts practical studies on main courses of the department for students of the Faculty of Mathematics and Mechanics as well as gives lectures on special course "Introduction to the Theory of Branching Processes".
Main publications:
E.Vl. Bulinskaya, “Strong and weak convergence of the population size in a supercritical catalytic branching process”, Doklady Mathematics, 92:3 (2015), 714–718
E.Vl. Bulinskaya, “Complete classification of catalytic branching processes”, Theory of Probability and its Applications, 59:4 (2015), 545–566
E.Vl. Bulinskaya, “Local particles numbers in critical branching random walk”, Journal of Theoretical Probability, 27:3 (2014), 878–898
E.Vl. Bulinskaya, “Finiteness of hitting times under taboo”, Statistics and Probability Letters, 85:1 (2014), 15–19
E.Vl. Bulinskaya, “Hitting times with taboo for a random walk”, Siberian Advances in Mathematics, 22:4 (2012), 227–242
E. Vl. Bulinskaya, “Complete classification of catalytic branching processes”, Theory Probab. Appl., 59:4 (2015), 545–566
2.
E. Vl. Bulinskaya, “Catalytic branching random walk on two-dimensional lattice”, Theory Probab. Appl., 55:1 (2011), 120–126
3.
E. Vl. Bulinskaya, “Maximum of a catalytic branching random walk”, Russian Math. Surveys, 74:3 (2019), 546–548
4.
E. Vl. Bulinskaya, “Fluctuations of the propagation front of a catalytic branching walk”, Theory Probab. Appl., 64:4 (2020), 513–534
5.
E. Vl. Bulinskaya, “Hitting times with taboo for a random walk”, Siberian Adv. Math., 22:4 (2012), 227–242
6.
E. Vl. Bulinskaya, “Limit Distributions for the Number of Particles in Branching Random Walks”, Math. Notes, 90:6 (2011), 824–837
7.
E. Vl. Bulinskaya, “Subcritical catalytic branching random walk with finite or infinite variance of offspring number”, Proc. Steklov Inst. Math., 282 (2013), 62–72
8.
E. Vl. Bulinskaya, “Propagation of Branching Random Walk on Periodic Graphs”, Proc. Steklov Inst. Math., 324 (2024), 66–74
9.
E. Vl. Bulinskaya, “Front propagation of branching random walk with periodic branching sources”, Moscow University Mathematics Bulletin, 79:1 (2024), 34–43
10.
E. V. Bulinskaya, B. I. Shigida, “Sensitivity analysis of some applied probability models”, J. Math. Sci., 254:4 (2021), 456–468
E. Vl. Bulinskaya, Veroyatnostno-geometricheskie svoistva prostranstvennogo vetvyaschegosya sluchainogo bluzhdaniya, Dissertatsiya doktora fiziko-matematicheskikh nauk, MGU imeni M.V. Lomonosova, Moskva, 2024 , 238 pp.
13.
E. Vl. Bulinskaya, “First Hitting Time of a High Level by a Catalytic Branching Walk”, Proc. Steklov Inst. Math., 316 (2022), 97–104
14.
E. Vl. Bulinskaya, “Catalytic branching random walk with semi-exponential increments”, Mathematical Population Studies, 28:3 (2021), 123–153
15.
E. Vl. Bulinskaya, “Maximum of catalytic branching random walk with regularly varying tails”, Journal of Theoretical Probability, 34:1 (2021), 141–161
16.
E. Vl. Bulinskaya, “On the maximal displacement of catalytic branching random walk”, Siberian Electronic Mathematical Reports, 17 (2020), 1088–1099http://semr.math.nsc.ru/v17/p1088-1099.pdf
17.
E. Vl. Bulinskaya, “Isotropic Multidimensional Catalytic Branching Random Walk with Regularly Varying Tails”, Computer Research and Modeling, 11:6 (2019), 1033–1039
18.
E. Vl. Bulinskaya, “Multidimensional catalytic branching random walk with regularly varying tails”, Proceedings of the 2019 2nd International Conference on Mathematics and Statistics (Prague, Czech Republic, July 08–10, 2019), ACM International Conference Proceeding Series, ACM, New York, N.Y., United States, 2019, 6–13
19.
E. Vl. Bulinskaya, “Spread of a catalytic branching random walk on a multidimensional lattice”, Stochastic Processes and their Applications, 128:7 (2018), 2325–2340
20.
E. Vl. Bulinskaya, “Strong and weak convergence of the population size in a supercritical catalytic branching process”, Doklady Mathematics, 92:3 (2015), 714–718
21.
E. Vl. Bulinskaya, “Finiteness of hitting times under taboo”, Statistics and Probability Letters, 85:1 (2014), 15–19
22.
E. Vl. Bulinskaya, “Local particles numbers in critical branching random walk”, Journal of Theoretical Probability, 27:3 (2014), 878–898
23.
E. Vl. Bulinskaya, “Limit theorems for local particle numbers in branching random walk”, Doklady Mathematics, 85:3 (2012), 403–405
24.
E. Vl. Bulinskaya, Vetvyaschiesya protsessy Bellmana-Kharrisa i ikh primeneniya k vetvyaschimsya sluchainym bluzhdaniyam, Dissertatsiya kandidata fiziko-matematicheskikh nauk, MGU imeni M.V. Lomonosova, Moskva, 2012 , 99 pp.
25.
E. Vl. Bulinskaya, “Limit distributions arising in branching random walks on integer lattices”, Lithuanian Mathematical Journal, 51:3 (2011), 310–321
26.
E. V. Bulinskaya, “Catalytic branching random walk on three-dimensional lattice”, Theory Stoch. Process., 16(32):2 (2010), 23–32
New applied probability models and optimization problems Ekaterina V. Bulinskaya International conference "Prokhorov and Probability Theory" dedicated to the 90th anniversary of birth of Yu. V. Prokhorov December 16, 2019 17:00
