Vershik, A. M. Duality and free measures in vector spaces, the spectral theory of actions of non-locally compact groups. (English) Zbl 1429.46031 J. Math. Sci., New York 238, No. 4, 390-405 (2019) and Zap. Nauchn. Semin. POMI 457, 74-100 (2017). Reviewer: Hans Weber (Udine) MSC: 46G12 28C20 PDFBibTeX XMLCite \textit{A. M. Vershik}, J. Math. Sci., New York 238, No. 4, 390--405 (2019; Zbl 1429.46031) Full Text: DOI arXiv
Vershik, Anatoly M.; Malyutin, Andrei V. The absolute of finitely generated groups. I: Commutative (semi)groups. (English) Zbl 1403.28014 Eur. J. Math. 4, No. 4, 1476-1490 (2018). MSC: 28C10 31C35 42C20 60J05 PDFBibTeX XMLCite \textit{A. M. Vershik} and \textit{A. V. Malyutin}, Eur. J. Math. 4, No. 4, 1476--1490 (2018; Zbl 1403.28014) Full Text: DOI arXiv
Vershik, A. M. Intrinsic metric on graded graphs, standardness, and invariant measures. (English) Zbl 1336.28014 J. Math. Sci., New York 200, No. 6, 677-681 (2014) and Zap. Nauchn. Semin. POMI 421, 58-67 (2014). MSC: 28D99 28C10 PDFBibTeX XMLCite \textit{A. M. Vershik}, J. Math. Sci., New York 200, No. 6, 677--681 (2014; Zbl 1336.28014) Full Text: DOI arXiv
Vershik, A. M. Kolmogorov’s example (A survey of actions of infinite-dimensional groups with an invariant probability measure). (English. Russian original) Zbl 1055.37006 Theory Probab. Appl. 48, No. 2, 373-378 (2003); translation from Teor. Veroyatn. Primen. 48, No. 2, 386-391 (2003). MSC: 37A15 28D15 37A40 37C40 PDFBibTeX XMLCite \textit{A. M. Vershik}, Theory Probab. Appl. 48, No. 2, 373--378 (2003; Zbl 1055.37006); translation from Teor. Veroyatn. Primen. 48, No. 2, 386--391 (2003) Full Text: DOI
Ol’shanskij, Grigorij; Vershik, Anatolij Ergodic unitarily invariant measures on the space of infinite Hermitian matrices. (English) Zbl 0853.22016 Dobrushin, R. L. (ed.) et al., Contemporary mathematical physics. F. A. Berezin memorial volume. Transl. ed. by A. B. Sossinsky. Providence, RI: American Mathematical Society. Transl., Ser. 2, Am. Math. Soc. 175(31), 137-175 (1996). MSC: 22E65 28C10 PDFBibTeX XMLCite \textit{G. Ol'shanskij} and \textit{A. Vershik}, Transl., Ser. 2, Am. Math. Soc. 175, 137--175 (1996; Zbl 0853.22016) Full Text: arXiv
Vershik, A. M.; Kajmanovich, V. A. Random walks on groups: Boundary, entropy, uniform distribution. (English. Russian original) Zbl 0442.60069 Sov. Math., Dokl. 20, 1170-1173 (1979); translation from Dokl. Akad. Nauk SSSR 249, 15-18 (1979). MSC: 60G50 60J50 60B15 20P05 28C10 PDFBibTeX XMLCite \textit{A. M. Vershik} and \textit{V. A. Kajmanovich}, Sov. Math., Dokl. 20, 1170--1173 (1979; Zbl 0442.60069); translation from Dokl. Akad. Nauk SSSR 249, 15--18 (1979)
Vershik, A. M. The action of \(\text{PSL}(2,\mathbb{Z})\) on \(\mathbb{R}^1\) is approximable. (English) Zbl 0399.28008 Russ. Math. Surv. 33, No. 1, 221-222 (1978); translation from Usp. Mat. Nauk 33, No. 1(199), 209-210 (1978). MSC: 28C10 28D15 PDFBibTeX XMLCite \textit{A. M. Vershik}, Russ. Math. Surv. 33, No. 1, 221--222 (1978; Zbl 0399.28008); translation from Usp. Mat. Nauk 33, No. 1(199), 209--210 (1978) Full Text: DOI
Vershik, A. M. The action of \(\text{PSL}(2,\mathbb Z)\) on \(\mathbb R^1\) is approximable. (Russian) Zbl 0391.28008 Usp. Mat. Nauk 33, No. 1(199), 209-210 (1978). MSC: 28C10 28D15 22F10 37A15 PDFBibTeX XMLCite \textit{A. M. Vershik}, Usp. Mat. Nauk 33, No. 1(199), 209--210 (1978; Zbl 0391.28008)
Vershik, A. M. Description of invariant measures for the actions of some infinite- dimensional groups. (English. Russian original) Zbl 0324.28014 Sov. Math., Dokl. 15, 1396-1400 (1974); translation from Dokl. Akad. Nauk SSSR 218, 749-752 (1974). MSC: 28D05 28C10 54A20 37A05 PDFBibTeX XMLCite \textit{A. M. Vershik}, Sov. Math., Dokl. 15, 1396--1400 (1974; Zbl 0324.28014); translation from Dokl. Akad. Nauk SSSR 218, 749--752 (1974)