Institute of Stochastics

Dr. Mikhail Chebunin

Emailmikhail.chebunin(at)uni-ulm.de
Phone+49 (0)731/50-23545
Fax+49 (0)731/50-23649
Adress
  • Raum-Nr. 1.62
    Helmholtzstr. 18
    89069 Ulm
Office hourson appointment
  

Main Activities

I am the coordinator of the double degree program between the University of Ulm and the University of Kharkiv.

Teaching

Semester   CourseTask
ST 2026Introduction to Optimal TransportLecturer
ST 2026Angewandte Statistik und prädiktive Methoden (SAPS)Mentor
WT 25/26Stochastische Modellierung und Simulation (SAPS)Mentor

 

Research Interests

My research interests cover a wide range of topics in Advanced Probability Theory, Statistics, Percolation Theory, and Applied Mathematics. In particular, continuum percolation theory, limit theorems, ordered statistics, urn schemes, Markov chains, data transmission systems, and stability methods.

Publications

  • 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.