Dr. Mikhail Chebunin

Ich bin Koordinator des Doppelabschlussprogramms zwischen der Universität Ulm und der Universität Charkiw.

Semester	Veranstaltung	Rolle
SoSe 2026	Introduction to Optimal Transport	Dozent
SoSe 2026	Angewandte Statistik und prädiktive Methoden (SAPS)	Mentor
WiSe 25/26	Stochastische Modellierung und Simulation (SAPS)	Mentor

 

Meine Forschungsinteressen umfassen ein breites Themenspektrum in der fortgeschrittenen Wahrscheinlichkeitstheorie, Statistik, Perkolationstheorie und angewandten Mathematik. Im Besonderen beschäftige ich mich mit kontinuierlicher Perkolationstheorie, Grenzwertsätzen, Ordnungsstatistiken, Urnenmodellen, Markov-Ketten, Datenübertragungssystemen und Stabilitätsmethoden.

• B. Abebe, M. Ch., A. Kovalevskii, Limit theorems for a class of random outer measures in infinite urn schemes, submitted, arXiv:2602.13938.
• M. Ch., G. Last, On strong sharp phase transition in the random connection model, submitted, arXiv:2512.00213.
• M. Ch., G. Last, On the uniqueness of the infinite cluster and the cluster density in the Poisson driven random connection model, Electronic Journal of Probability 30 (2025), 1–42.
• M. Ch., A. Kovalevskii, Limit theorems for forward and backward processes of numbers of non-empty urns in infinite urn schemes, Siberian Electronic Mathematical Reports, 20:2 (2023), 913-922.
• B. Abebe, M. Ch.,  A. Kovalevskii, Text Segmentation Via Processes that Count the Number of Different Words Forward and Backward, Journal of Quantitative Linguistics, (2023), 1-18.
• M. Ch., A. Rezler, Stability and instability of a random multiple access system with an energy harvesting and self-discharge mechanism, Siberian Electronic Mathematical Reports, 20:2 (2023), 735-754.
• M. Ch., S. Zuev, Functional Central Limit Theorems for Occupancies and Missing Mass Process in Infinite Urn Models, Journal of Theoretical Probability, 35 (2022), 1-19.
• B. Abebe, M. Ch., A. Kovalevskii, N. Zakrevskaya, Statistical tests for text homogeneity: using forward and backward processes of numbers of different words, Glottometrics, 53 (2022), 42-58.
• M. Ch., A. Kovalevskii, Modifications of Karlin and Simon text models, Siberian Electronic Mathematical Reports, 19:2 (2022), 708-723.
• M. Ch., A. Rezler, Stability and instability of a random multiple access system with an energy harvesting mechanism, Siberian Electronic Mathematical Reports, 19:1 (2022), 1-17.
• M. Ch., S. Foss, Harris ergodicity of a Split Transmission Control Protocol, Siberian Electronic Mathematical Reports, 18:2 (2021), 1493-1505.
• M. Ch., A. Kovalevskii, Asymptotics of sums of regression residuals under multiple ordering of regressors, Siberian Electronic Mathematical Reports, 18:2 (2021), 1482-1492.
• M. Ch., On the accuracy of the poissonisation in the infinite occupancy scheme, Siberian Electronic Mathematical Reports, 18:2 (2021), 1035-1045.
• A. Chakrabarty, M. Ch., A. Kovalevskii, I. Pupyshev, N. Zakrevskaya, Q. Zhou,  A statistical test for correspondence of texts to the Zipf-Mandelbrot law, Siberian Electronic Mathematical Reports, 17 (2020), 1959-1974.
• M. Ch., A. Kovalevskii, A statistical test for the Zipf’s law by deviations from the Heaps’ law, Siberian Electronic Mathematical Reports, 16 (2019), 1822-1832.
• M. Ch., S. Foss, On stability of multiple access systems with minimal feedback, Siberian Electronic Mathematical Reports, 16 (2019), 1805-1821.
• M. Ch., A. Kovalevskii, Asymptotically Normal Estimators for Zipf’s Law, Sankhya A, 81 (2019), 482-492.
• M. Ch., E. Prokopenko, A. Tarasenko, Spatially decentralized protocols in random multiple access networks, Siberian Electronic Mathematical Reports, 15 (2018), 135-152.
• M. Ch., Functional central limit theorem in an infinite urn scheme for distributions with superheavy tails, Siberian Electronic Mathematical Reports, 14 (2017), 1289-1298.
• M. Ch., On ergodic algorithms in systems of multiple access with partial feedback, Siberian Electronic Mathematical Reports, 13 (2016), 762-781.
• M. Ch., A. Kovalevskii, Functional central limit theorems for certain statistics in an infinite urn scheme,  Statistics and Probability Letters, 119 (2016), 344-348.
• M. Ch., Estimation of the number of cells via the number of randomly occupied cells,  Journal of Mathematical Sciences, 213:6 (2016), 795-801.
• M. Ch., Parameter estimation via the number of different elements in a sample, Siberian Journal of Industrial Mathematics, 17:3 (2014), 135-147.