Bezuglyi, Sergey; Jorgensen, Palle E. T.; Sanadhya, Shrey Substitution-dynamics and invariant measures for infinite alphabet-path space. (English) Zbl 07822016 Adv. Appl. Math. 156, Article ID 102687, 39 p. (2024). MSC: 37B10 37A05 37B05 37A40 54H05 05C60 PDFBibTeX XMLCite \textit{S. Bezuglyi} et al., Adv. Appl. Math. 156, Article ID 102687, 39 p. (2024; Zbl 07822016) Full Text: DOI arXiv
Bezuglyi, Sergey; Jorgensen, Palle E. T. Harmonic analysis on graphs via Bratteli diagrams and path-space measures. (English) Zbl 1493.37016 Diss. Math. 574, 1-74 (2022). Reviewer: Anatoliy Swishchuk (Calgary) MSC: 37B10 37A46 37H10 42B37 47L50 60J45 28D05 PDFBibTeX XMLCite \textit{S. Bezuglyi} and \textit{P. E. T. Jorgensen}, Diss. Math. 574, 1--74 (2022; Zbl 1493.37016) Full Text: DOI arXiv
Bezuglyi, Sergey; Karpel, Olena Invariant measures for Cantor dynamical systems. (English) Zbl 1447.37004 Moree, Pieter (ed.) et al., Dynamics: topology and numbers. Conference, Max Planck Institute for Mathematics, Bonn, Germany, July 2–6, 2018. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 744, 259-295 (2020). Reviewer: Hasan Akin (Gaziantep) MSC: 37A05 37B05 37B10 28D05 28C15 PDFBibTeX XMLCite \textit{S. Bezuglyi} and \textit{O. Karpel}, Contemp. Math. 744, 259--295 (2020; Zbl 1447.37004) Full Text: DOI arXiv
Bezuglyi, Sergey; Karpel, Olena; Kwiatkowski, Jan Exact number of ergodic invariant measures for Bratteli diagrams. (English) Zbl 1425.37014 J. Math. Anal. Appl. 480, No. 2, Article ID 123431, 49 p. (2019). MSC: 37B10 37A25 37A15 28D05 PDFBibTeX XMLCite \textit{S. Bezuglyi} et al., J. Math. Anal. Appl. 480, No. 2, Article ID 123431, 49 p. (2019; Zbl 1425.37014) Full Text: DOI arXiv
Bezuglyi, S.; Karpel, O. Orbit equivalent substitution dynamical systems and complexity. (English) Zbl 1317.37015 Proc. Am. Math. Soc. 142, No. 12, 4155-4169 (2014). Reviewer: Thomas B. Ward (Durham) MSC: 37B10 37A20 37B05 PDFBibTeX XMLCite \textit{S. Bezuglyi} and \textit{O. Karpel}, Proc. Am. Math. Soc. 142, No. 12, 4155--4169 (2014; Zbl 1317.37015) Full Text: DOI arXiv
Bezuglyi, S.; Kwiatkowski, J.; Medynets, K.; Solomyak, B. Finite rank Bratteli diagrams: structure of invariant measures. (English) Zbl 1278.37010 Trans. Am. Math. Soc. 365, No. 5, 2637-2679 (2013). MSC: 37B05 37A25 37A20 PDFBibTeX XMLCite \textit{S. Bezuglyi} et al., Trans. Am. Math. Soc. 365, No. 5, 2637--2679 (2013; Zbl 1278.37010) Full Text: DOI arXiv
Bezuglyi, S.; Kwiatkowski, J.; Medynets, K. Aperiodic substitution systems and their Bratteli diagrams. (English) Zbl 1169.37004 Ergodic Theory Dyn. Syst. 29, No. 1, 37-72 (2009). Reviewer: Michael Schraudner (Santiago) MSC: 37B10 37B05 54H20 37B99 PDFBibTeX XMLCite \textit{S. Bezuglyi} et al., Ergodic Theory Dyn. Syst. 29, No. 1, 37--72 (2009; Zbl 1169.37004) Full Text: DOI arXiv