Глиняна Катерина Валеріївна
Освіта
2003-2009 Master degree in Mathematics, Institute of Mathematics, Economics and
Mechanics of I. I. Mechnikov Odessa National University
2009-2013 Post graduate course in the Institute of mathematics of the NAS of Ukraine
Дисертації
2016 Candidate of Sciences in Mathematics (Institute of Mathematics, NAS of Ukraine)
Dissertation: Discrete-time stochastic flows. Supervisor: A. A. Dorogovtsev, Head
of the Department of the theory of stochastic processes, Institute of Mathematics,
NAS of Ukraine, Doctor of Science in Mathematics, Professor
Dissertation: Discrete-time stochastic flows. Supervisor: A. A. Dorogovtsev, Head
of the Department of the theory of stochastic processes, Institute of Mathematics,
NAS of Ukraine, Doctor of Science in Mathematics, Professor
Напрямки досліджень
Discrete-time stochastic flows,
Flows of Brownian particles on the line with coalescence,
Stochastic flows with singular interaction, Point processes
Flows of Brownian particles on the line with coalescence,
Stochastic flows with singular interaction, Point processes
Досвід роботи
2013-2019 Junior researcher at the Department of the theory of stochastic processes, Institute
of Mathematics, NAS of Ukraine
since 2020 Researcher at the Department of the theory of stochastic processes, Institute of
Mathematics, NAS of Ukraine
2016-2019 Lecturer at O.O. Bogomolets National Medical University, courses in computer
science
since 2020 Lecturer at National Technical University of Ukraine “Igor Sikorsky Kyiv
Polytechnic Institute”, courses in discrete mathematics
2021 Invited lecturer at School of Mathematics, Jilin University with mini-course 'Brownian motion and Stochastic differential equations'
2022 traineeship in Jilin University (China)
of Mathematics, NAS of Ukraine
since 2020 Researcher at the Department of the theory of stochastic processes, Institute of
Mathematics, NAS of Ukraine
2016-2019 Lecturer at O.O. Bogomolets National Medical University, courses in computer
science
since 2020 Lecturer at National Technical University of Ukraine “Igor Sikorsky Kyiv
Polytechnic Institute”, courses in discrete mathematics
2021 Invited lecturer at School of Mathematics, Jilin University with mini-course 'Brownian motion and Stochastic differential equations'
2022 traineeship in Jilin University (China)
Виступи на конференціях
1. Discrete analogue of the Krylov-Veretennikov expansion. 19-th International
conference of young scientists "Lomonosov"(Moscow, 2012)
2. Ukraine science conference "Modern problems of porbability and
analysis"(Vorochta, Ukraine, 25Feb. - 3March, 2013.
3. Asymptotic of disordering in the discrete approximation of the Arratia
flow. International mathematical conference ”Bogolyubov readings DIF-2013.
Differential equations, theory of functions and their applications” (June 23 – 30,
2013 Sevastopol, Ukraine)
4. Geometry of discrete-time approximation of stochastic flows. Junior female
researchers in probability (Potsdam and Berlin· 10–11 October 2013)
5. Discrete-time stochastic flows. 11th International Vilnius Conference on
Probability Theory and Mathematical Statistics (Vilnius, Lithuania, 30 June -
4 July, 2014)
6. Discrete-time stochastic flow. Yu. V. Linnik Centennial Conference Analytical
methods in number theory, probability theory and mathematical statistics
(St.Petesburg, September). – 2015
7. Glinyanaya E. V. Discrete-time approximation of Harris flows and discrete-time analogue of Krylov-Veretennikov expansion / E. V. Glinyanaya // International Conference “Stochastic Processes in Abstract Spaces” (Kyiv, Ukraine 14-16 October, 2015): abstracts. -- Kиїв. -- 2015. -- P. 16.
8. Glinyanaya E. V. Spatial ergodicity of the Harris flows. Symposium on Probability Theory and Random Processes 5-9 June, 2017, Euler International Mathematical Institute, St. Petersburg, Russia
9. Glinyanaya E. V. Spatial properties of one-dimensional Brownian flows. 12th International Vilnius Conference on Probability Theory and Mathematical Statistics and 2018 IMS Annual Meeting on Probability and Statistics July 2 – 6, 2018 Vilnius, Lithuania
10. Glinyanaya E. V. System of Brownian Particles. International Conference «Stochastic Equations, Limit Theorems and Statistics of Stochastic Processes», dedicated to the 100th anniversary of I.I.Gikhman September 17-22, 2018, Kyiv, Ukraine
11. Dorogovtsev A.A., Glinyanaya E.V. Limit theorems for integrals with respect to Arratia point process. // Scientific conference «Modern problems of stochastic analysis» dedicated to the 100th anniversary of the birth of academician S.Kh.Sirajdinov. September 21-22, 2020, Tashkent.
conference of young scientists "Lomonosov"(Moscow, 2012)
2. Ukraine science conference "Modern problems of porbability and
analysis"(Vorochta, Ukraine, 25Feb. - 3March, 2013.
3. Asymptotic of disordering in the discrete approximation of the Arratia
flow. International mathematical conference ”Bogolyubov readings DIF-2013.
Differential equations, theory of functions and their applications” (June 23 – 30,
2013 Sevastopol, Ukraine)
4. Geometry of discrete-time approximation of stochastic flows. Junior female
researchers in probability (Potsdam and Berlin· 10–11 October 2013)
5. Discrete-time stochastic flows. 11th International Vilnius Conference on
Probability Theory and Mathematical Statistics (Vilnius, Lithuania, 30 June -
4 July, 2014)
6. Discrete-time stochastic flow. Yu. V. Linnik Centennial Conference Analytical
methods in number theory, probability theory and mathematical statistics
(St.Petesburg, September). – 2015
7. Glinyanaya E. V. Discrete-time approximation of Harris flows and discrete-time analogue of Krylov-Veretennikov expansion / E. V. Glinyanaya // International Conference “Stochastic Processes in Abstract Spaces” (Kyiv, Ukraine 14-16 October, 2015): abstracts. -- Kиїв. -- 2015. -- P. 16.
8. Glinyanaya E. V. Spatial ergodicity of the Harris flows. Symposium on Probability Theory and Random Processes 5-9 June, 2017, Euler International Mathematical Institute, St. Petersburg, Russia
9. Glinyanaya E. V. Spatial properties of one-dimensional Brownian flows. 12th International Vilnius Conference on Probability Theory and Mathematical Statistics and 2018 IMS Annual Meeting on Probability and Statistics July 2 – 6, 2018 Vilnius, Lithuania
10. Glinyanaya E. V. System of Brownian Particles. International Conference «Stochastic Equations, Limit Theorems and Statistics of Stochastic Processes», dedicated to the 100th anniversary of I.I.Gikhman September 17-22, 2018, Kyiv, Ukraine
11. Dorogovtsev A.A., Glinyanaya E.V. Limit theorems for integrals with respect to Arratia point process. // Scientific conference «Modern problems of stochastic analysis» dedicated to the 100th anniversary of the birth of academician S.Kh.Sirajdinov. September 21-22, 2020, Tashkent.