Глиняна Катерина Валеріївна
Публікації
1. Discrete analogue of the Krylov-Veretennikov expansion, Theory of Stochastic Processes, Volume 17(33), no.1, 2011, pages 39-49
2. Disordering asymptotics in the discrete approximation of an Arratia flow, Theory of Stoch. Processes, vol. 18(34), no.2, 2012, p. 8-14.
3. Semigroups of m-point motions of the Arratia flow, and binary forests, Theory of Stoch. Processes, vol. 19(35), no.2, 2014, p. 31-41
4. Krylov-Veretennikov representation for the m-point motion of a discrete-time flow, Theory of Stoch. Processes, vol. 20(36), no.1, 2015, p. 63-77
5. Ergodicity with respect to the spatial variable of discrete-time stochastic flows. Dopov. Nac. akad. nauk Ukr. 2015, 8:13-20 (Russ)
6. Spatial Ergodicity of the Harris Flows, Communications on Stochastic Analysis Vol. 11, No. 2, June 2017, p. 223–231
7. On some random integral operators generated by an Arratia flow (A.A. Dorogovtsev, I.A. Korenovska, E.V. Glinyanaya), Theory of Stoch. Processes 22, no.2, 2017, 8-18
8. Limit theorems for the number of clusters of the Arratia flow (V.V. Fomichov, E.V. Glinyanaya), Theory of Stoch. Processes, vol. 23(39), no.2, 2018, p. 33-40
9. Mixing Coefficient for Discrete-Time Stochastic Flow, Journal of Stochastic Analysis: Vol. 1 : No. 1, 2020.
10. Gaussian structure in coalescing stochastic flows, (A. A. Dorogovtsev and K. V. Hlyniana), Stochastics and Dynamics, Vol. 23, No. 06, 2023
11. The geometry of Gaussian random curves, (Qingsong Wang, A. A. Dorogovtsev, K. V. Hlyniana, Naoufel Salhi), AIMS Mathematics, 2025, 10(10): 23613-23638. doi: 10.3934/math.20251049
12. Interacting particle systems through point processes: static structure and dynamics, Theory of Stochastic Processes, Vol.29 (45), no.2, 2025, pp.30-65. doi: 10.3842/tsp-9506612372-47
13. A law of thin processes with neighbour-count thinning, Statistics and Probability Letters, Volume 235, August 2026, 110740,
doi: 10.1016/j.spl.2026.110740
2. Disordering asymptotics in the discrete approximation of an Arratia flow, Theory of Stoch. Processes, vol. 18(34), no.2, 2012, p. 8-14.
3. Semigroups of m-point motions of the Arratia flow, and binary forests, Theory of Stoch. Processes, vol. 19(35), no.2, 2014, p. 31-41
4. Krylov-Veretennikov representation for the m-point motion of a discrete-time flow, Theory of Stoch. Processes, vol. 20(36), no.1, 2015, p. 63-77
5. Ergodicity with respect to the spatial variable of discrete-time stochastic flows. Dopov. Nac. akad. nauk Ukr. 2015, 8:13-20 (Russ)
6. Spatial Ergodicity of the Harris Flows, Communications on Stochastic Analysis Vol. 11, No. 2, June 2017, p. 223–231
7. On some random integral operators generated by an Arratia flow (A.A. Dorogovtsev, I.A. Korenovska, E.V. Glinyanaya), Theory of Stoch. Processes 22, no.2, 2017, 8-18
8. Limit theorems for the number of clusters of the Arratia flow (V.V. Fomichov, E.V. Glinyanaya), Theory of Stoch. Processes, vol. 23(39), no.2, 2018, p. 33-40
9. Mixing Coefficient for Discrete-Time Stochastic Flow, Journal of Stochastic Analysis: Vol. 1 : No. 1, 2020.
10. Gaussian structure in coalescing stochastic flows, (A. A. Dorogovtsev and K. V. Hlyniana), Stochastics and Dynamics, Vol. 23, No. 06, 2023
11. The geometry of Gaussian random curves, (Qingsong Wang, A. A. Dorogovtsev, K. V. Hlyniana, Naoufel Salhi), AIMS Mathematics, 2025, 10(10): 23613-23638. doi: 10.3934/math.20251049
12. Interacting particle systems through point processes: static structure and dynamics, Theory of Stochastic Processes, Vol.29 (45), no.2, 2025, pp.30-65. doi: 10.3842/tsp-9506612372-47
13. A law of thin processes with neighbour-count thinning, Statistics and Probability Letters, Volume 235, August 2026, 110740,
doi: 10.1016/j.spl.2026.110740