Prof. Artem Dudko

My research focuses mainly on two areas: Holomorphic Dynamics (measure-theoretic properties of Julia sets, renormalization theory, thermodynamic formalism) and Representation Theory (factor representations and characters, invariant random subgroups, spectra operators, ergodic theory, groups acting on rooted trees, and related topics).

Major / recent publications

[1] A. Dudko and K. Medynets, On Characters of Inductive Limits of Symmetric Groups, Journal of Functional Analysis, 264 (2013), no.7, 1565-1598.

[2] A. Dudko and K. Medynets, Finite Factor Representations of Higman- Thompson groups, Groups, Geometry, and Dynamics, 8 (2014), no. 2, 375-389.

[3] A. Dudko and R. Grigorchuk, On spectra of Koopman, groupoid and quasi- regular representations, J. Mod. Dyn. 11 (2017), 99-123.

[4] A. Dudko and S. Sutherland, On the Lebesgue measure of the Feigenbaum Julia set, Invent. math. 221 (2020), 167-202.

[5] A. Dudko and R. Grigorchuk, On spectral properties of the Schreier graphs of the Thompson group F, Trans. of AMS, 376 (2023), no. 4, 2787-2819. 

And here's a link to all papers . 

Additional Information