M. Hlushchanka, O. Lukina, and D. Wardell. Profinite geometric iterated monodromy groups of postcritically finite polynomials in degree 3. Preprint arXiv:2507.05033, 2025.
M. Hlushchanka and H. Peters. The independence polynomial on recursive sequences of graphs. Preprint arXiv:2411.14791, 2024.
L. Geyer and M. Hlushchanka. Classification of critically fixed anti-Thurston maps. Preprint arXiv:2006.10788, 2024.
M. Bonk, M. Hlushchanka, and R. Lodge. Thurston’s pullback map, invariant covers, and the global dynamics on curves. To appear in Proc. AMS. Preprint arXiv:2411.00732, 2024.
D. Dudko, M. Hlushchanka, and D. Schleicher. A canonical decomposition of postcritically finite rational maps and their maximal expanding quotients. Preprint: arXiv:2209.02800, 2022.
M. Hlushchanka and N. Prochorov. Critically fixed Thurston maps: classification, recognition, and twisting. Preprint: arXiv:2212.14759, 2022.
M. Bonk, M. Hlushchanka, and A. Iseli. Eliminating Thurston obstructions and controlling dynamics on curves. Ergod. Theory Dyn. Syst. 44 (9): 2454--2532, 2024. doi:10.1017/etds.2023.114.
M. Hlushchanka. Tischler graphs of critically fixed rational maps and their applications. To appear in "Algebraic, Complex, and Arithmetic Dynamics", Simons Symposia, Springer (Edited by L. DeMarco and M. Jonsson) . Preprint: arXiv:1904.04759, 2019.
M. Hlushchanka and D. Meyer. Exponential growth of some iterated monodromy groups. Proc. Lond. Math. Soc. (3) 116(6):1489–1518, 2018. doi:10.1112/plms.12118.
M. Hlushchanka, Invariant graphs, tilings, and iterated monodromy groups, Ph.D. dissertation, 2017, URN: nbn-resolving.org/urn:nbn:de:gbv:579-opus-1007507.
1. M. Bonk, M. Hlushchanka, and D. Meyer. Conformal dimension and quasi-visual approximations.
2. L. Geyer, M. Hlushchanka, R. Lodge, Y. Luo, and S. Mukherjee. Anti-Thurston maps and reflection groups.
3. M. Hlushchanka and R. Lodge. A note on the global dynamics of Thurston’s pullback map.
4. M. Hlushchanka. A criterion for exponential growth of iterated monodromy groups.