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, “Propagation of Branching Random Walk on Periodic Graphs”, Trudy Mat. Inst. Steklova, 324 (2024), 73–82; Proc. Steklov Inst. Math., 324 (2024), 66–74
2.
E. Vl. Bulinskaya, “Front propagation of branching random walk with periodic branching sources”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2024, no. 1, 31–40; Moscow University Mathematics Bulletin, 79:1 (2024), 34–43
2022
3.
E. Vl. Bulinskaya, “First Hitting Time of a High Level by a Catalytic Branching Walk”, Trudy Mat. Inst. Steklova, 316 (2022), 105–112; Proc. Steklov Inst. Math., 316 (2022), 97–104
2020
4.
E. Vl. Bulinskaya, “On the maximal displacement of catalytic branching random walk”, Sib. Èlektron. Mat. Izv., 17 (2020), 1088–1099
2019
5.
E. Vl. Bulinskaya, “Isotropic multidimensional catalytic branching random walk with regularly varying tails”, Computer Research and Modeling, 11:6 (2019), 1033–1039
6.
E. Vl. Bulinskaya, “Maximum of a catalytic branching random walk”, Uspekhi Mat. Nauk, 74:3(447) (2019), 187–188; Russian Math. Surveys, 74:3 (2019), 546–548
E. Vl. Bulinskaya, “Fluctuations of the propagation front of a catalytic branching walk”, Teor. Veroyatnost. i Primenen., 64:4 (2019), 642–670; Theory Probab. Appl., 64:4 (2020), 513–534
E. V. Bulinskaya, B. I. Shigida, “Sensitivity analysis of some applied probability models”, Fundam. Prikl. Mat., 22:3 (2018), 19–35; J. Math. Sci., 254:4 (2021), 456–468
E. Vl. Bulinskaya, “Subcritical catalytic branching random walk with finite or infinite variance of offspring number”, Trudy Mat. Inst. Steklova, 282 (2013), 69–79; Proc. Steklov Inst. Math., 282 (2013), 62–72
E. Vl. Bulinskaya, “Limit Distributions for the Number of Particles in Branching Random Walks”, Mat. Zametki, 90:6 (2011), 845–859; Math. Notes, 90:6 (2011), 824–837
E. V. Bulinskaya, “Catalytic branching random walk on three-dimensional lattice”, Theory Stoch. Process., 16(32):2 (2010), 23–32
14.
E. Vl. Bulinskaya, “Catalytic branching random walk on two-dimensional lattice”, Teor. Veroyatnost. i Primenen., 55:1 (2010), 142–148; Theory Probab. Appl., 55:1 (2011), 120–126
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
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