Shriver, Christopher Free energy, Gibbs measures, and Glauber dynamics for nearest-neighbor interactions. (English) Zbl 1512.37013 Commun. Math. Phys. 398, No. 2, 679-702 (2023). MSC: 37A60 37A50 37D35 37E25 60K35 82C20 82C26 82B20 82B26 PDFBibTeX XMLCite \textit{C. Shriver}, Commun. Math. Phys. 398, No. 2, 679--702 (2023; Zbl 1512.37013) Full Text: DOI arXiv
Shlyakhtenko, Dimitri; Tao, Terence Fractional free convolution powers. (English) Zbl 1518.46046 Indiana Univ. Math. J. 71, No. 6, 2551-2594 (2022). MSC: 46L54 60B20 15B52 PDFBibTeX XMLCite \textit{D. Shlyakhtenko} and \textit{T. Tao}, Indiana Univ. Math. J. 71, No. 6, 2551--2594 (2022; Zbl 1518.46046) Full Text: DOI arXiv Backlinks: MO
Lind, Douglas; Schmidt, Klaus New examples of Bernoulli algebraic actions. (English) Zbl 1508.37015 Ergodic Theory Dyn. Syst. 42, No. 9, 2923-2934 (2022). Reviewer: Michele Triestino (Dijon) MSC: 37A15 37A35 37B05 37A20 PDFBibTeX XMLCite \textit{D. Lind} and \textit{K. Schmidt}, Ergodic Theory Dyn. Syst. 42, No. 9, 2923--2934 (2022; Zbl 1508.37015) Full Text: DOI arXiv
Barbieri, Sebastián; García-Ramos, Felipe; Li, Hanfeng Markovian properties of continuous group actions: algebraic actions, entropy and the homoclinic group. (English) Zbl 1491.37010 Adv. Math. 397, Article ID 108196, 52 p. (2022). MSC: 37B05 37B40 22D40 20C07 22F05 37C85 PDFBibTeX XMLCite \textit{S. Barbieri} et al., Adv. Math. 397, Article ID 108196, 52 p. (2022; Zbl 1491.37010) Full Text: DOI arXiv
Baraviera, Alexandre; Exel, Ruy; Gonçalves, Daniel; Rodrigues, Fagner B.; Royer, Danilo Entropy for partial actions of \(\mathbb{Z}\). (English) Zbl 1494.37013 Proc. Am. Math. Soc. 150, No. 3, 1089-1103 (2022). MSC: 37B40 37B05 37B02 PDFBibTeX XMLCite \textit{A. Baraviera} et al., Proc. Am. Math. Soc. 150, No. 3, 1089--1103 (2022; Zbl 1494.37013) Full Text: DOI arXiv
Hayes, Ben Max-min theorems for weak containment, square summable homoclinic points, and completely positive entropy. (English) Zbl 1483.37015 Indiana Univ. Math. J. 70, No. 4, 1221-1266 (2021). MSC: 37B05 37B40 37A15 37C85 PDFBibTeX XMLCite \textit{B. Hayes}, Indiana Univ. Math. J. 70, No. 4, 1221--1266 (2021; Zbl 1483.37015) Full Text: DOI arXiv
Hayes, Ben Harmonic models and Bernoullicity. (English) Zbl 1477.37015 Compos. Math. 157, No. 10, 2160-2198 (2021). MSC: 37B05 37A15 37A35 37A55 22D25 PDFBibTeX XMLCite \textit{B. Hayes}, Compos. Math. 157, No. 10, 2160--2198 (2021; Zbl 1477.37015) Full Text: DOI arXiv
Cheng, Dandan; Li, Zhiming Mean dimensions for partial actions. (English) Zbl 1458.37038 J. Difference Equ. Appl. 26, No. 4, 561-573 (2020). Reviewer: Marta Macho Stadler (Leioa) MSC: 37C85 37C45 PDFBibTeX XMLCite \textit{D. Cheng} and \textit{Z. Li}, J. Difference Equ. Appl. 26, No. 4, 561--573 (2020; Zbl 1458.37038) Full Text: DOI
Bowen, Lewis Examples in the entropy theory of countable group actions. (English) Zbl 1452.37006 Ergodic Theory Dyn. Syst. 40, No. 10, 2593-2680 (2020). Reviewer: Hasan Akin (Gaziantep) MSC: 37A35 37A15 37A10 37B40 22D40 22F10 PDFBibTeX XMLCite \textit{L. Bowen}, Ergodic Theory Dyn. Syst. 40, No. 10, 2593--2680 (2020; Zbl 1452.37006) Full Text: DOI arXiv
Gaboriau, Damien; Seward, Brandon Cost, \(\ell^2\)-Betti numbers and the sofic entropy of some algebraic actions. (English) Zbl 1437.37035 J. Anal. Math. 139, No. 1, 1-65 (2019). Reviewer: Thomas B. Ward (Leeds) MSC: 37C85 37A15 22D40 37B40 37A46 37B10 37A35 PDFBibTeX XMLCite \textit{D. Gaboriau} and \textit{B. Seward}, J. Anal. Math. 139, No. 1, 1--65 (2019; Zbl 1437.37035) Full Text: DOI arXiv
Hayes, Ben Weak equivalence to Bernoulli shifts for some algebraic actions. (English) Zbl 1442.37008 Proc. Am. Math. Soc. 147, No. 5, 2021-2032 (2019). MSC: 37A20 37A55 37A15 47C15 47A67 22D25 22D40 PDFBibTeX XMLCite \textit{B. Hayes}, Proc. Am. Math. Soc. 147, No. 5, 2021--2032 (2019; Zbl 1442.37008) Full Text: DOI arXiv
Hayes, Ben Local and doubly empirical convergence and the entropy of algebraic actions of sofic groups. (English) Zbl 1418.22002 Ergodic Theory Dyn. Syst. 39, No. 4, 930-953 (2019). Reviewer: Thomas B. Ward (Leeds) MSC: 22D40 37A35 37A45 PDFBibTeX XMLCite \textit{B. Hayes}, Ergodic Theory Dyn. Syst. 39, No. 4, 930--953 (2019; Zbl 1418.22002) Full Text: DOI arXiv
Austin, Tim An asymptotic equipartition property for measures on model spaces. (English) Zbl 1410.37005 Trans. Am. Math. Soc. 371, No. 2, 1379-1402 (2019). MSC: 37A35 37A50 28D15 28D20 PDFBibTeX XMLCite \textit{T. Austin}, Trans. Am. Math. Soc. 371, No. 2, 1379--1402 (2019; Zbl 1410.37005) Full Text: DOI arXiv
Hayes, Ben Sofic entropy of Gaussian actions. (English) Zbl 1380.37013 Ergodic Theory Dyn. Syst. 37, No. 7, 2187-2222 (2017). MSC: 37A35 37A55 37A45 PDFBibTeX XMLCite \textit{B. Hayes}, Ergodic Theory Dyn. Syst. 37, No. 7, 2187--2222 (2017; Zbl 1380.37013) Full Text: DOI arXiv
Alpeev, A. V. Announce of an entropy formula for a class of actions coming from Gibbs measures. (English. Russian original) Zbl 1386.37007 J. Math. Sci., New York 224, No. 2, 171-175 (2017); translation from Zap. Nauchn. Semin. POMI 448, 7-13 (2016). MSC: 37A35 22D40 37D30 PDFBibTeX XMLCite \textit{A. V. Alpeev}, J. Math. Sci., New York 224, No. 2, 171--175 (2017; Zbl 1386.37007); translation from Zap. Nauchn. Semin. POMI 448, 7--13 (2016) Full Text: DOI
Hayes, Ben Metric mean dimension for algebraic actions of sofic groups. (English) Zbl 1376.37014 Trans. Am. Math. Soc. 369, No. 10, 6853-6897 (2017). MSC: 37A45 37A35 37B40 22D25 43A07 PDFBibTeX XMLCite \textit{B. Hayes}, Trans. Am. Math. Soc. 369, No. 10, 6853--6897 (2017; Zbl 1376.37014) Full Text: DOI arXiv
Austin, Tim Additivity properties of sofic entropy and measures on model spaces. (English) Zbl 1369.37008 Forum Math. Sigma 4, Paper No. e25, 79 p. (2016). MSC: 37A35 37A50 28D20 PDFBibTeX XMLCite \textit{T. Austin}, Forum Math. Sigma 4, Paper No. e25, 79 p. (2016; Zbl 1369.37008) Full Text: DOI arXiv
Alpeev, Andrey The entropy of Gibbs measures on sofic groups. (English. Russian original) Zbl 1342.37007 J. Math. Sci., New York 215, No. 6, 649-658 (2016) and Zap. Nauchn. Semin. POMI 436, 34-48 (2015). MSC: 37A35 37A50 PDFBibTeX XMLCite \textit{A. Alpeev}, J. Math. Sci., New York 215, No. 6, 649--658 (2016; Zbl 1342.37007) Full Text: DOI
Hayes, Ben Fuglede-Kadison determinants and sofic entropy. (English) Zbl 1377.22005 Geom. Funct. Anal. 26, No. 2, 520-606 (2016). Reviewer: El Houcein El Abdalaoui (Saint Etienne du Rouvray) MSC: 22D25 22D40 22D15 37A35 PDFBibTeX XMLCite \textit{B. Hayes}, Geom. Funct. Anal. 26, No. 2, 520--606 (2016; Zbl 1377.22005) Full Text: DOI arXiv
Jiang, Yongle A remark on \(\mathbb{T}\)-valued cohomology groups of algebraic group actions. (English) Zbl 1338.22004 J. Funct. Anal. 271, No. 3, 577-592 (2016). MSC: 22D40 46L10 28D05 20J06 PDFBibTeX XMLCite \textit{Y. Jiang}, J. Funct. Anal. 271, No. 3, 577--592 (2016; Zbl 1338.22004) Full Text: DOI arXiv
Lind, Douglas; Schmidt, Klaus A survey of algebraic actions of the discrete Heisenberg group. (English. Russian original) Zbl 1357.37041 Russ. Math. Surv. 70, No. 4, 657-714 (2015); translation from Usp. Mat. Nauk 70, No. 4, 77-142 (2015). MSC: 37C85 37A35 37B40 54H20 37A45 37D20 22D45 PDFBibTeX XMLCite \textit{D. Lind} and \textit{K. Schmidt}, Russ. Math. Surv. 70, No. 4, 657--714 (2015; Zbl 1357.37041); translation from Usp. Mat. Nauk 70, No. 4, 77--142 (2015) Full Text: DOI arXiv
Chung, Nhan-Phu; Li, Hanfeng Homoclinic groups, IE groups, and expansive algebraic actions. (English) Zbl 1320.37009 Invent. Math. 199, No. 3, 805-858 (2015). Reviewer: Anna Giordano Bruno (Udine) MSC: 37B40 22D40 37A15 20C07 43A20 22D15 PDFBibTeX XMLCite \textit{N.-P. Chung} and \textit{H. Li}, Invent. Math. 199, No. 3, 805--858 (2015; Zbl 1320.37009) Full Text: DOI arXiv
Li, Hanfeng; Thom, Andreas Entropy, determinants, and \(L^{2}\)-torsion. (English) Zbl 1283.37031 J. Am. Math. Soc. 27, No. 1, 239-292 (2014). Reviewer: Anna Giordano Bruno (Udine) MSC: 37B40 37A35 22D25 58J52 43A07 PDFBibTeX XMLCite \textit{H. Li} and \textit{A. Thom}, J. Am. Math. Soc. 27, No. 1, 239--292 (2014; Zbl 1283.37031) Full Text: DOI arXiv
Georgescu, Catalin; Picioroaga, Gabriel Fuglede-Kadison determinants for operators in the von Neumann algebra of an equivalence relation. (English) Zbl 1282.47061 Proc. Am. Math. Soc. 142, No. 1, 173-180 (2014). Reviewer: Guoxing Ji (Xian) MSC: 47C15 47A35 47B47 PDFBibTeX XMLCite \textit{C. Georgescu} and \textit{G. Picioroaga}, Proc. Am. Math. Soc. 142, No. 1, 173--180 (2014; Zbl 1282.47061) Full Text: DOI arXiv
Kerr, David; Li, Hanfeng Combinatorial independence and sofic entropy. (English) Zbl 1315.37025 Commun. Math. Stat. 1, No. 2, 213-257 (2013). Reviewer: Dominik Kwietniak (Krakow) MSC: 37D45 37A35 37B40 PDFBibTeX XMLCite \textit{D. Kerr} and \textit{H. Li}, Commun. Math. Stat. 1, No. 2, 213--257 (2013; Zbl 1315.37025) Full Text: DOI arXiv
Bowen, Lewis; Li, Hanfeng Harmonic models and spanning forests of residually finite groups. (English) Zbl 1271.37023 J. Funct. Anal. 263, No. 7, 1769-1808 (2012). MSC: 37B40 20F65 05C05 PDFBibTeX XMLCite \textit{L. Bowen} and \textit{H. Li}, J. Funct. Anal. 263, No. 7, 1769--1808 (2012; Zbl 1271.37023) Full Text: DOI arXiv
Li, Hanfeng Compact group automorphisms, addition formulas and Fuglede-Kadison determinants. (English) Zbl 1250.22006 Ann. Math. (2) 176, No. 1, 303-347 (2012). Reviewer: Thomas B. Ward (Durham) MSC: 22D25 37B40 37A35 28D05 PDFBibTeX XMLCite \textit{H. Li}, Ann. Math. (2) 176, No. 1, 303--347 (2012; Zbl 1250.22006) Full Text: DOI arXiv
Kerr, David; Li, Hanfeng Entropy and the variational principle for actions of sofic groups. (English) Zbl 1417.37041 Invent. Math. 186, No. 3, 501-558 (2011). MSC: 37A15 37A35 37A55 22D25 37B40 22F10 22D40 28D15 PDFBibTeX XMLCite \textit{D. Kerr} and \textit{H. Li}, Invent. Math. 186, No. 3, 501--558 (2011; Zbl 1417.37041) Full Text: DOI arXiv