Bufetov, A. I.; Solomyak, B. Self-similarity and spectral theory: on the spectrum of substitutions. (English) Zbl 1522.37027 St. Petersbg. Math. J. 34, No. 3, 313-346 (2023) and Algebra Anal. 34, No. 3, 5-50 (2023). MSC: 37B52 37B05 PDFBibTeX XMLCite \textit{A. I. Bufetov} and \textit{B. Solomyak}, St. Petersbg. Math. J. 34, No. 3, 313--346 (2023; Zbl 1522.37027) Full Text: DOI arXiv
Bufetov, Alexander I.; Solomyak, Boris On substitution automorphisms with pure singular spectrum. (English) Zbl 1502.37018 Math. Z. 301, No. 2, 1315-1331 (2022). Reviewer: Bruno Duchesne (Paris) MSC: 37B10 37B51 37B52 37E05 PDFBibTeX XMLCite \textit{A. I. Bufetov} and \textit{B. Solomyak}, Math. Z. 301, No. 2, 1315--1331 (2022; Zbl 1502.37018) Full Text: DOI arXiv
Bufetov, Alexander I.; Solomyak, Boris Hölder regularity for the spectrum of translation flows. (Régularité Hölder pour le spectre des flots de translation.) (English. French summary) Zbl 1470.37051 J. Éc. Polytech., Math. 8, 279-310 (2021); corrigendum ibid. 9, 1513-1514 (2022). Reviewer: Thomas B. Ward (Leeds) MSC: 37D40 37C40 37A30 37A25 37E35 PDFBibTeX XMLCite \textit{A. I. Bufetov} and \textit{B. Solomyak}, J. Éc. Polytech., Math. 8, 279--310 (2021; Zbl 1470.37051) Full Text: DOI arXiv
Bufetov, Alexander I.; Solomyak, Boris A spectral cocycle for substitution systems and translation flows. (English) Zbl 1462.37025 J. Anal. Math. 141, No. 1, 165-205 (2020). MSC: 37C40 37D25 37B10 PDFBibTeX XMLCite \textit{A. I. Bufetov} and \textit{B. Solomyak}, J. Anal. Math. 141, No. 1, 165--205 (2020; Zbl 1462.37025) Full Text: DOI arXiv
Solomyak, Boris Delone sets and dynamical systems. (English) Zbl 1459.37017 Akiyama, Shigeki (ed.) et al., Substitution and tiling dynamics: introduction to self-inducing structures. Lecture notes from the research school on tiling dynamical systems, CIRM Jean-Morlet Chair, Marseille, France, Fall 2017. Cham: Springer. Lect. Notes Math. 2273, 1-32 (2020). Reviewer: Anton Shutov (Vladimir) MSC: 37B52 37B10 52C23 PDFBibTeX XMLCite \textit{B. Solomyak}, Lect. Notes Math. 2273, 1--32 (2020; Zbl 1459.37017) Full Text: DOI arXiv
Lee, Jeong-Yup; Solomyak, Boris On substitution tilings and Delone sets without finite local complexity. (English) Zbl 1414.37008 Discrete Contin. Dyn. Syst. 39, No. 6, 3149-3177 (2019). MSC: 37B50 52C23 PDFBibTeX XMLCite \textit{J.-Y. Lee} and \textit{B. Solomyak}, Discrete Contin. Dyn. Syst. 39, No. 6, 3149--3177 (2019; Zbl 1414.37008) Full Text: DOI arXiv
Bufetov, Alexander I.; Solomyak, Boris On ergodic averages for parabolic product flows. (Les moyennes ergodiques des produits cartésiens des flots paraboliques.) (English. French summary) Zbl 1414.37001 Bull. Soc. Math. Fr. 146, No. 4, 675-690 (2018). MSC: 37A30 37B10 PDFBibTeX XMLCite \textit{A. I. Bufetov} and \textit{B. Solomyak}, Bull. Soc. Math. Fr. 146, No. 4, 675--690 (2018; Zbl 1414.37001) Full Text: DOI arXiv
Bufetov, Alexander I.; Solomyak, Boris The Hölder property for the spectrum of translation flows in genus two. (English) Zbl 1386.37035 Isr. J. Math. 223, 205-259 (2018). MSC: 37D40 37E35 14K20 37A30 37A45 PDFBibTeX XMLCite \textit{A. I. Bufetov} and \textit{B. Solomyak}, Isr. J. Math. 223, 205--259 (2018; Zbl 1386.37035) Full Text: DOI arXiv
Bufetov, Alexander I.; Solomyak, Boris On the modulus of continuity for spectral measures in substitution dynamics. (English) Zbl 1339.37004 Adv. Math. 260, 84-129 (2014). Reviewer: Ivan Podvigin (Novosibirsk) MSC: 37A30 37B10 37E35 28A78 PDFBibTeX XMLCite \textit{A. I. Bufetov} and \textit{B. Solomyak}, Adv. Math. 260, 84--129 (2014; Zbl 1339.37004) Full Text: DOI arXiv
Cortez, M. I.; Solomyak, B. Invariant measures for non-primitive tiling substitutions. (English) Zbl 1310.37008 J. Anal. Math. 115, 293-342 (2011). MSC: 37B50 37A25 PDFBibTeX XMLCite \textit{M. I. Cortez} and \textit{B. Solomyak}, J. Anal. Math. 115, 293--342 (2011; Zbl 1310.37008) Full Text: DOI arXiv
Vershik, A. M.; Solomyak, B. The adic realization of the Morse transformation and the extension of its action to the solenoid. (English. Russian original) Zbl 1303.37004 J. Math. Sci., New York 158, No. 6, 809-818 (2009); translation from Zap. Nauchn. Semin. POMI 360, 70-90 (2008). MSC: 37B10 37A45 37B05 PDFBibTeX XMLCite \textit{A. M. Vershik} and \textit{B. Solomyak}, J. Math. Sci., New York 158, No. 6, 809--818 (2009; Zbl 1303.37004); translation from Zap. Nauchn. Semin. POMI 360, 70--90 (2008) Full Text: DOI arXiv
Lee, Jeong-Yup; Solomyak, Boris Pure point diffractive substitution Delone sets have the Meyer property. (English) Zbl 1168.37003 Discrete Comput. Geom. 39, No. 1-3, 319-338 (2008). Reviewer: Andrzej Pelczar (Kraków) MSC: 37B50 52C23 PDFBibTeX XMLCite \textit{J.-Y. Lee} and \textit{B. Solomyak}, Discrete Comput. Geom. 39, No. 1--3, 319--338 (2008; Zbl 1168.37003) Full Text: DOI