Fraczyk, Mikolaj; Van Limbeek, Wouter Co-spectral radius of intersections. (English) Zbl 07793982 Ergodic Theory Dyn. Syst. 44, No. 2, 509-523 (2024). MSC: 37A15 37A20 37A30 20E07 PDFBibTeX XMLCite \textit{M. Fraczyk} and \textit{W. Van Limbeek}, Ergodic Theory Dyn. Syst. 44, No. 2, 509--523 (2024; Zbl 07793982) Full Text: DOI arXiv OA License
Marks, Andrew S. Measurable graph combinatorics. (English) Zbl 07823030 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 3. Sections 1–4. Berlin: European Mathematical Society (EMS). 1488-1502 (2023). MSC: 03E15 05C21 22F10 28A75 37A20 52B45 PDFBibTeX XMLCite \textit{A. S. Marks}, in: International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6--14, 2022. Volume 3. Sections 1--4. Berlin: European Mathematical Society (EMS). 1488--1502 (2023; Zbl 07823030) Full Text: DOI OA License
Kerr, David; Tucker-Drob, Robin Dynamical alternating groups, stability, property gamma, and inner amenability. (English) Zbl 1525.37003 Ann. Sci. Éc. Norm. Supér. (4) 56, No. 1, 59-90 (2023). Reviewer: Enrico Jabara (Venezia) MSC: 37A20 37A55 37B05 37B40 46L36 46L05 46L10 46L55 PDFBibTeX XMLCite \textit{D. Kerr} and \textit{R. Tucker-Drob}, Ann. Sci. Éc. Norm. Supér. (4) 56, No. 1, 59--90 (2023; Zbl 1525.37003) Full Text: DOI arXiv
Scarparo, Eduardo A dichotomy for topological full groups. (English) Zbl 1525.43003 Can. Math. Bull. 66, No. 2, 610-616 (2023). MSC: 43A07 37B05 PDFBibTeX XMLCite \textit{E. Scarparo}, Can. Math. Bull. 66, No. 2, 610--616 (2023; Zbl 1525.43003) Full Text: DOI arXiv
Yao, Ningyuan; Zhang, Zhentao On minimal flows and definable amenability in some distal NIP theories. (English) Zbl 07687149 Ann. Pure Appl. Logic 174, No. 7, Article ID 103274, 20 p. (2023). MSC: 03C98 37B05 11E95 03C64 43A07 PDFBibTeX XMLCite \textit{N. Yao} and \textit{Z. Zhang}, Ann. Pure Appl. Logic 174, No. 7, Article ID 103274, 20 p. (2023; Zbl 07687149) Full Text: DOI arXiv
Ara, Pere; Bönicke, Christian; Bosa, Joan; Li, Kang The type semigroup, comparison, and almost finiteness for ample groupoids. (English) Zbl 07680089 Ergodic Theory Dyn. Syst. 43, No. 2, 361-400 (2023). MSC: 37B05 22A22 06F05 20F65 PDFBibTeX XMLCite \textit{P. Ara} et al., Ergodic Theory Dyn. Syst. 43, No. 2, 361--400 (2023; Zbl 07680089) Full Text: DOI arXiv
Epperlein, Jeremias; Meyerovitch, Tom Iterated Minkowski sums, horoballs and north-south dynamics. (English) Zbl 1515.37010 Groups Geom. Dyn. 17, No. 1, 245-292 (2023). Reviewer: Thomas B. Ward (Durham) MSC: 37B10 37B15 11H06 20F65 54E40 PDFBibTeX XMLCite \textit{J. Epperlein} and \textit{T. Meyerovitch}, Groups Geom. Dyn. 17, No. 1, 245--292 (2023; Zbl 1515.37010) Full Text: DOI arXiv
Hmili, Hajer; Liousse, Isabelle Inner amenability of the subgroups of \(\mathrm{PL}^+(I)\). (English) Zbl 07739257 Bull. Belg. Math. Soc. - Simon Stevin 29, No. 4, 555-561 (2022). Reviewer: Amir Sahami (Tehran) MSC: 43A07 20F65 37E05 PDFBibTeX XMLCite \textit{H. Hmili} and \textit{I. Liousse}, Bull. Belg. Math. Soc. - Simon Stevin 29, No. 4, 555--561 (2022; Zbl 07739257) Full Text: DOI
Pakovich, Fedor On amenable semigroups of rational functions. (English) Zbl 1511.37055 Trans. Am. Math. Soc. 375, No. 11, 7945-7979 (2022). Reviewer: Chi-Keung Ng (Tianjin) MSC: 37F10 30D05 12E05 43A07 PDFBibTeX XMLCite \textit{F. Pakovich}, Trans. Am. Math. Soc. 375, No. 11, 7945--7979 (2022; Zbl 1511.37055) Full Text: DOI arXiv
Chen, Xiao; Goswami, Debashish; Huang, Huichi Amenable fusion algebraic actions of discrete quantum groups on compact quantum spaces. (English) Zbl 1499.18035 Banach J. Math. Anal. 16, No. 4, Paper No. 64, 22 p. (2022). Reviewer: Do Ngoc Diep (Hanoi) MSC: 18M20 20G42 46L89 46L55 37A55 PDFBibTeX XMLCite \textit{X. Chen} et al., Banach J. Math. Anal. 16, No. 4, Paper No. 64, 22 p. (2022; Zbl 1499.18035) Full Text: DOI arXiv
Gardella, Eusebio; Hirshberg, Ilan; Vaccaro, Andrea Strongly outer actions of amenable groups on \(\mathcal{Z}\)-stable nuclear \(C^\ast\)-algebras. (English. French summary) Zbl 1496.46068 J. Math. Pures Appl. (9) 162, 76-123 (2022). Reviewer: Evgenios Kakariadis (Newcastle upon Tyne) MSC: 46L55 37A55 46L35 46L40 PDFBibTeX XMLCite \textit{E. Gardella} et al., J. Math. Pures Appl. (9) 162, 76--123 (2022; Zbl 1496.46068) Full Text: DOI arXiv
Bartošová, Dana; Lopez-Abad, Jordi; Lupini, Martino; Mbombo, Brice The Ramsey property for Banach spaces and Choquet simplices. (English) Zbl 1485.05176 J. Eur. Math. Soc. (JEMS) 24, No. 4, 1353-1388 (2022). MSC: 05D10 46B04 37B05 46A55 PDFBibTeX XMLCite \textit{D. Bartošová} et al., J. Eur. Math. Soc. (JEMS) 24, No. 4, 1353--1388 (2022; Zbl 1485.05176) Full Text: DOI
Glasner, Eli; Megrelishvili, Michael Circular orders, ultra-homogeneous order structures, and their automorphism groups. (English) Zbl 1490.22004 Vershik, Anatoly M. (ed.) et al., Conference on topology, geometry, and dynamics. V. A. Rokhlin-100. The Euler International Mathematical Institute and Steklov Institute of Mathematics, St. Petersburg, Russia, August 19–23, 2019. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 772, 133-154 (2021). MSC: 22A25 37B02 54H15 PDFBibTeX XMLCite \textit{E. Glasner} and \textit{M. Megrelishvili}, Contemp. Math. 772, 133--154 (2021; Zbl 1490.22004) Full Text: DOI arXiv
Arano, Yuki; Isono, Yusuke; Marrakchi, Amine Ergodic theory of affine isometric actions on Hilbert spaces. (English) Zbl 1505.37012 Geom. Funct. Anal. 31, No. 5, 1013-1094 (2021). Reviewer: El Houcein El Abdalaoui (Saint Etienne du Rouvray) MSC: 37A40 37A15 20E08 20F65 28C20 37A50 PDFBibTeX XMLCite \textit{Y. Arano} et al., Geom. Funct. Anal. 31, No. 5, 1013--1094 (2021; Zbl 1505.37012) Full Text: DOI arXiv
Gheysens, Maxime Dynamics and structure of groups of homeomorphisms of scattered spaces. (English) Zbl 1492.37015 Enseign. Math. (2) 67, No. 1-2, 161-186 (2021). MSC: 37B05 37B02 54G12 43A07 PDFBibTeX XMLCite \textit{M. Gheysens}, Enseign. Math. (2) 67, No. 1--2, 161--186 (2021; Zbl 1492.37015) Full Text: DOI arXiv
Cabrera, Carlos; Makienko, Peter Amenability and measure of maximal entropy for semigroups of rational maps. (English) Zbl 1491.37045 Groups Geom. Dyn. 15, No. 4, 1139-1174 (2021). MSC: 37F10 37F44 43A07 PDFBibTeX XMLCite \textit{C. Cabrera} and \textit{P. Makienko}, Groups Geom. Dyn. 15, No. 4, 1139--1174 (2021; Zbl 1491.37045) Full Text: DOI arXiv
Bartošová, Dana; López-Abad, Jordi; Lupini, Martino; Mbombo, Brice The Ramsey property for operator spaces and noncommutative Choquet simplices. (English) Zbl 1472.05145 J. Funct. Anal. 281, No. 9, Article ID 109192, 39 p. (2021). MSC: 05D10 05E45 46L07 37B05 46L05 PDFBibTeX XMLCite \textit{D. Bartošová} et al., J. Funct. Anal. 281, No. 9, Article ID 109192, 39 p. (2021; Zbl 1472.05145) Full Text: DOI arXiv
Capobianco, Silvio; Guillon, Pierre Besicovitch pseudodistances with respect to non-Følner sequences. (English) Zbl 1478.37017 Complex Syst. 30, No. 2, 133-158 (2021). MSC: 37B10 37B15 37B51 PDFBibTeX XMLCite \textit{S. Capobianco} and \textit{P. Guillon}, Complex Syst. 30, No. 2, 133--158 (2021; Zbl 1478.37017) Full Text: DOI
Tucker-Drob, Robin; Wróbel, Konrad Cost of inner amenable groupoids. (English) Zbl 1478.37005 Proc. Am. Math. Soc. 149, No. 10, 4303-4315 (2021). MSC: 37A20 37A15 37A55 28D15 PDFBibTeX XMLCite \textit{R. Tucker-Drob} and \textit{K. Wróbel}, Proc. Am. Math. Soc. 149, No. 10, 4303--4315 (2021; Zbl 1478.37005) Full Text: DOI arXiv
Elek, Gábor Uniform hyperfiniteness. (English) Zbl 1476.37009 Trans. Am. Math. Soc. 374, No. 7, 5095-5111 (2021). Reviewer: Symon Serbenyuk (Kyïv) MSC: 37A20 37A15 28D15 43A07 05C15 20F65 46L35 PDFBibTeX XMLCite \textit{G. Elek}, Trans. Am. Math. Soc. 374, No. 7, 5095--5111 (2021; Zbl 1476.37009) Full Text: DOI arXiv Link
Carmona, Juan Felipe; Dávila, Kevin; Onshuus, Alf; Zamora, Rafael A fixed-point theorem for definably amenable groups. (English) Zbl 1506.03094 Arch. Math. Logic 60, No. 3-4, 413-424 (2021). MSC: 03C95 03C60 37B05 22F10 43A07 PDFBibTeX XMLCite \textit{J. F. Carmona} et al., Arch. Math. Logic 60, No. 3--4, 413--424 (2021; Zbl 1506.03094) Full Text: DOI arXiv
Monod, Nicolas Furstenberg boundaries for pairs of groups. (English) Zbl 1461.37030 Ergodic Theory Dyn. Syst. 41, No. 5, 1514-1529 (2021). Reviewer: Mihai Turinici (Iaşi) MSC: 37C85 37B02 37B05 22F05 PDFBibTeX XMLCite \textit{N. Monod}, Ergodic Theory Dyn. Syst. 41, No. 5, 1514--1529 (2021; Zbl 1461.37030) Full Text: DOI arXiv
Garban, Christophe Inverted orbits of exclusion processes, diffuse-extensive-amenability, and (non-?)amenability of the interval exchanges. (English) Zbl 1511.20236 Groups Geom. Dyn. 14, No. 3, 871-897 (2020). MSC: 20P05 20E22 20B30 20B35 37C85 43A07 60J27 60J28 PDFBibTeX XMLCite \textit{C. Garban}, Groups Geom. Dyn. 14, No. 3, 871--897 (2020; Zbl 1511.20236) Full Text: DOI arXiv
Tucker-Drob, Robin D. Invariant means and the structure of inner amenable groups. (English) Zbl 1458.37043 Duke Math. J. 169, No. 13, 2571-2628 (2020). Reviewer: Amir Sahami (Tehran) MSC: 37C85 37A20 43A07 20H20 20E08 PDFBibTeX XMLCite \textit{R. D. Tucker-Drob}, Duke Math. J. 169, No. 13, 2571--2628 (2020; Zbl 1458.37043) Full Text: DOI arXiv Euclid
Ceccherini-Silberstein, Tullio; Coornaert, Michel The Garden of Eden theorem: old and new. (English) Zbl 1456.37018 Ji, Lizhen (ed.) et al., Handbook of group actions V. Somerville, MA: International Press; Beijing: Higher Education Press. Adv. Lect. Math. (ALM) 48, 55-106 (2020). Reviewer: Laurent Bartholdi (Göttingen) MSC: 37B15 37B10 37B40 37C29 37D20 PDFBibTeX XMLCite \textit{T. Ceccherini-Silberstein} and \textit{M. Coornaert}, Adv. Lect. Math. (ALM) 48, 55--106 (2020; Zbl 1456.37018) Full Text: arXiv
Kida, Yoshikata; Tucker-Drob, Robin Inner amenable groupoids and central sequences. (English) Zbl 1446.37011 Forum Math. Sigma 8, Paper No. e29, 84 p. (2020). Reviewer: Marta Macho Stadler (Leioa) MSC: 37A55 37A20 37A15 28D15 46L10 22D40 PDFBibTeX XMLCite \textit{Y. Kida} and \textit{R. Tucker-Drob}, Forum Math. Sigma 8, Paper No. e29, 84 p. (2020; Zbl 1446.37011) Full Text: DOI arXiv
Ferenczi, V.; Lopez-Abad, J.; Mbombo, B.; Todorcevic, S. Amalgamation and Ramsey properties of \(L_p\) spaces. (English) Zbl 1465.46013 Adv. Math. 369, Article ID 107190, 75 p. (2020). Reviewer: Gilles Godefroy (Paris) MSC: 46B04 46A22 05C55 37B05 46B42 PDFBibTeX XMLCite \textit{V. Ferenczi} et al., Adv. Math. 369, Article ID 107190, 75 p. (2020; Zbl 1465.46013) Full Text: DOI arXiv
Pawliuk, Micheal; Sokić, Miodrag Amenability and unique ergodicity of automorphism groups of countable homogeneous directed graphs. (English) Zbl 1440.43002 Ergodic Theory Dyn. Syst. 40, No. 5, 1351-1401 (2020). MSC: 43A07 05C55 37B05 05C20 PDFBibTeX XMLCite \textit{M. Pawliuk} and \textit{M. Sokić}, Ergodic Theory Dyn. Syst. 40, No. 5, 1351--1401 (2020; Zbl 1440.43002) Full Text: DOI arXiv
de Menibus, Benjamin Hellouin; Cornejo, Hugo Maturana Necessary conditions for tiling finitely generated amenable groups. (English) Zbl 1440.37027 Discrete Contin. Dyn. Syst. 40, No. 4, 2335-2346 (2020). Reviewer: Hasan Akin (Gaziantep) MSC: 37B52 37B10 05B45 52C22 PDFBibTeX XMLCite \textit{B. H. de Menibus} and \textit{H. M. Cornejo}, Discrete Contin. Dyn. Syst. 40, No. 4, 2335--2346 (2020; Zbl 1440.37027) Full Text: DOI arXiv
Bartholdi, Laurent Amenability of groups is characterized by Myhill’s theorem. (English) Zbl 1458.37017 J. Eur. Math. Soc. (JEMS) 21, No. 10, 3191-3197 (2019). Reviewer: Hasan Akin (Gaziantep) MSC: 37B15 37B10 43A07 16U20 PDFBibTeX XMLCite \textit{L. Bartholdi}, J. Eur. Math. Soc. (JEMS) 21, No. 10, 3191--3197 (2019; Zbl 1458.37017) Full Text: DOI arXiv
Krupiński, Krzysztof; Pillay, Anand Amenability, definable groups, and automorphism groups. (English) Zbl 1452.43001 Adv. Math. 345, 1253-1299 (2019). Reviewer: Pranav Sharma (Jalandhar) MSC: 43A07 03C45 37B02 54H11 PDFBibTeX XMLCite \textit{K. Krupiński} and \textit{A. Pillay}, Adv. Math. 345, 1253--1299 (2019; Zbl 1452.43001) Full Text: DOI arXiv
Dai, Xiongping; Glasner, Eli On universal minimal proximal flows of topological groups. (English) Zbl 1433.37008 Proc. Am. Math. Soc. 147, No. 3, 1149-1164 (2019). Reviewer: Alicia Santiago Santos (Oaxaca) MSC: 37B05 37B02 37C85 PDFBibTeX XMLCite \textit{X. Dai} and \textit{E. Glasner}, Proc. Am. Math. Soc. 147, No. 3, 1149--1164 (2019; Zbl 1433.37008) Full Text: DOI arXiv
Jagiella, Grzegorz The Ellis group conjecture and variants of definable amenability. (English) Zbl 1522.03141 J. Symb. Log. 83, No. 4, 1376-1390 (2018). MSC: 03C64 03C45 37B02 PDFBibTeX XMLCite \textit{G. Jagiella}, J. Symb. Log. 83, No. 4, 1376--1390 (2018; Zbl 1522.03141) Full Text: DOI arXiv
Ara, Pere; Li, Kang; Lledó, Fernando; Wu, Jianchao Amenability of coarse spaces and \(\mathbb {K}\)-algebras. (English) Zbl 1427.16020 Bull. Math. Sci. 8, No. 2, 257-306 (2018). MSC: 16S99 16S88 16P90 20F65 37A15 PDFBibTeX XMLCite \textit{P. Ara} et al., Bull. Math. Sci. 8, No. 2, 257--306 (2018; Zbl 1427.16020) Full Text: DOI arXiv
Juschenko, Kate; Matte Bon, Nicolás; Monod, Nicolas; de la Salle, Mikael Extensive amenability and an application to interval exchanges. (English) Zbl 1387.37030 Ergodic Theory Dyn. Syst. 38, No. 1, 195-219 (2018). MSC: 37C85 54H20 43A07 20E32 PDFBibTeX XMLCite \textit{K. Juschenko} et al., Ergodic Theory Dyn. Syst. 38, No. 1, 195--219 (2018; Zbl 1387.37030) Full Text: DOI arXiv
Matte Bon, Nicolás Full groups of bounded automaton groups. (English) Zbl 1423.20017 J. Fractal Geom. 4, No. 4, 425-458 (2017). MSC: 20E08 20E32 20F10 20F69 22A22 37B10 PDFBibTeX XMLCite \textit{N. Matte Bon}, J. Fractal Geom. 4, No. 4, 425--458 (2017; Zbl 1423.20017) Full Text: DOI arXiv
Marks, Andrew S.; Unger, Spencer T. Borel circle squaring. (English) Zbl 1400.03064 Ann. Math. (2) 186, No. 2, 581-605 (2017). Reviewer: Enrico Zoli (Firenze) MSC: 03E15 05C21 37A20 52B45 PDFBibTeX XMLCite \textit{A. S. Marks} and \textit{S. T. Unger}, Ann. Math. (2) 186, No. 2, 581--605 (2017; Zbl 1400.03064) Full Text: DOI arXiv
Glasner, Eli; Weiss, Benjamin Three zutot. (English) Zbl 1379.37020 Topol. Methods Nonlinear Anal. 49, No. 1, 351-358 (2017). MSC: 37B05 22D40 22F10 37A25 PDFBibTeX XMLCite \textit{E. Glasner} and \textit{B. Weiss}, Topol. Methods Nonlinear Anal. 49, No. 1, 351--358 (2017; Zbl 1379.37020) Full Text: DOI arXiv Euclid
Exel, Ruy; Starling, Charles Amenable actions of inverse semigroups. (English) Zbl 1388.46047 Ergodic Theory Dyn. Syst. 37, No. 2, 481-489 (2017). MSC: 46L05 20M18 43A07 22A22 37A55 PDFBibTeX XMLCite \textit{R. Exel} and \textit{C. Starling}, Ergodic Theory Dyn. Syst. 37, No. 2, 481--489 (2017; Zbl 1388.46047) Full Text: DOI arXiv
Matui, Hiroki Topological full groups of étale groupoids. (English) Zbl 1367.54021 Carlsen, Toke M. (ed.) et al., Operator algebras and applications. The Abel symposium 2015 took place on the ship Finnmarken, part of the Coastal Express Line (the Norwegian Hurtigruten), from Bergen to the Lofoten Islands, Norway, August 7–11, 2015. Cham: Springer (ISBN 978-3-319-39284-4/hbk; 978-3-319-39286-8/ebook). Abel Symposia 12, 197-224 (2016). Reviewer: Thomas B. Ward (Leeds) MSC: 54H20 37B10 46L55 54-02 PDFBibTeX XMLCite \textit{H. Matui}, Abel Symp. 12, 197--224 (2016; Zbl 1367.54021) Full Text: DOI arXiv
Kerr, David; Li, Hanfeng Ergodic theory. Independence and dichotomies. (English) Zbl 1396.37001 Springer Monographs in Mathematics. Cham: Springer (ISBN 978-3-319-49845-4/hbk; 978-3-319-49847-8/ebook). xxxiv, 431 p. (2016). Reviewer: Thomas B. Ward (Leeds) MSC: 37-02 37Axx 37Bxx PDFBibTeX XMLCite \textit{D. Kerr} and \textit{H. Li}, Ergodic theory. Independence and dichotomies. Cham: Springer (2016; Zbl 1396.37001) Full Text: DOI
Bader, Uri; Duchesne, Bruno; Lécureux, Jean Furstenberg maps for CAT(0) targets of finite telescopic dimension. (English) Zbl 1378.37055 Ergodic Theory Dyn. Syst. 36, No. 6, 1723-1742 (2016). MSC: 37C85 20F67 22F10 37A25 PDFBibTeX XMLCite \textit{U. Bader} et al., Ergodic Theory Dyn. Syst. 36, No. 6, 1723--1742 (2016; Zbl 1378.37055) Full Text: DOI arXiv
Pillay, Anand; Yao, Ningyuan On minimal flows, definably amenable groups, and o-minimality. (English) Zbl 1386.03042 Adv. Math. 290, 483-502 (2016). Reviewer: Artur Piękosz (Kraków) MSC: 03C64 03C60 43A07 37B05 PDFBibTeX XMLCite \textit{A. Pillay} and \textit{N. Yao}, Adv. Math. 290, 483--502 (2016; Zbl 1386.03042) Full Text: DOI arXiv
Nguyen Van Thé, Lionel A survey on structural Ramsey theory and topological dynamics with the Kechris-Pestov-Todorcevic correspondence in mind. (English) Zbl 1461.05232 Kurilić, Miloš (ed.) et al., Selected topics in combinatorial analysis. Beograd: Matematički Institut SANU. Zb. Rad. (Beogr.) 17(25), 189-207 (2015). MSC: 05D10 05C55 37B02 PDFBibTeX XMLCite \textit{L. Nguyen Van Thé}, Zb. Rad. (Beogr.) 17, 189--207 (2015; Zbl 1461.05232) Full Text: arXiv
Gutman, Yonatan; Nguyen Van Thé, Lionel On relative extreme amenability. (English) Zbl 1348.54035 Sci. Math. Jpn. 78, No. 2, 183-191 (2015). Reviewer: Juan Luis García Guirao (Cartagena) MSC: 54H20 05D10 22F05 37B05 PDFBibTeX XMLCite \textit{Y. Gutman} and \textit{L. Nguyen Van Thé}, Sci. Math. Jpn. 78, No. 2, 183--191 (2015; Zbl 1348.54035) Full Text: arXiv Link Link
Beklaryan, L. A. Groups of line and circle homeomorphisms. Metric invariants and questions of classification. (English. Russian original) Zbl 1352.37110 Russ. Math. Surv. 70, No. 2, 203-248 (2015); translation from Usp. Mat. Nauk 70, No. 2, 3-54 (2015). MSC: 37E05 37E10 57M60 20F05 43A07 PDFBibTeX XMLCite \textit{L. A. Beklaryan}, Russ. Math. Surv. 70, No. 2, 203--248 (2015; Zbl 1352.37110); translation from Usp. Mat. Nauk 70, No. 2, 3--54 (2015) Full Text: DOI
Kaïchouh, Adriane Amenability and Ramsey theory in the metric setting. (English) Zbl 1356.37014 Fundam. Math. 231, No. 1, 19-38 (2015). MSC: 37B05 05D10 03C90 03C52 22F50 PDFBibTeX XMLCite \textit{A. Kaïchouh}, Fundam. Math. 231, No. 1, 19--38 (2015; Zbl 1356.37014) Full Text: DOI arXiv
Jaerisch, Johannes Group-extended Markov systems, amenability, and the Perron-Frobenius operator. (English) Zbl 1346.37036 Proc. Am. Math. Soc. 143, No. 1, 289-300 (2015). MSC: 37D35 43A07 37C30 PDFBibTeX XMLCite \textit{J. Jaerisch}, Proc. Am. Math. Soc. 143, No. 1, 289--300 (2015; Zbl 1346.37036) Full Text: DOI arXiv
Ceccherini-Silberstein, Tullio; Coornaert, Michel; Krieger, Fabrice An analogue of Fekete’s lemma for subadditive functions on cancellative amenable semigroups. (English) Zbl 1308.43002 J. Anal. Math. 124, 59-81 (2014). Reviewer: Victor Sharapov (Dayton) MSC: 43A05 37N99 PDFBibTeX XMLCite \textit{T. Ceccherini-Silberstein} et al., J. Anal. Math. 124, 59--81 (2014; Zbl 1308.43002) Full Text: DOI arXiv
Kida, Yoshikata Inner amenable groups having no stable action. (English) Zbl 1326.43002 Geom. Dedicata 173, 185-192 (2014). MSC: 43A07 43A70 20E06 20E08 22D40 28D15 37A20 PDFBibTeX XMLCite \textit{Y. Kida}, Geom. Dedicata 173, 185--192 (2014; Zbl 1326.43002) Full Text: DOI arXiv
Jaerisch, Johannes Conformal fractals for normal subgroups of free groups. (English) Zbl 1342.37024 Conform. Geom. Dyn. 18, 31-55 (2014). Reviewer: Alexandre De Zotti (Liverpool) MSC: 37C45 30F40 37C85 43A07 37F30 PDFBibTeX XMLCite \textit{J. Jaerisch}, Conform. Geom. Dyn. 18, 31--55 (2014; Zbl 1342.37024) Full Text: DOI arXiv
Zucker, Andy Amenability and unique ergodicity of automorphism groups of Fraïssé structures. (English) Zbl 1401.37022 Fundam. Math. 226, No. 1, 41-61 (2014). Reviewer: Victor Sharapov (Dayton) MSC: 37B05 03C15 05D10 54H05 43A07 54H20 PDFBibTeX XMLCite \textit{A. Zucker}, Fundam. Math. 226, No. 1, 41--61 (2014; Zbl 1401.37022) Full Text: DOI arXiv
Jaerisch, Johannes; Kesseböhmer, Marc; Lamei, Sanaz Induced topological pressure for countable state Markov shifts. (English) Zbl 1376.37074 Stoch. Dyn. 14, No. 2, Article ID 1350016, 31 p. (2014). Reviewer: Paolo Giulietti (Pisa) MSC: 37D35 PDFBibTeX XMLCite \textit{J. Jaerisch} et al., Stoch. Dyn. 14, No. 2, Article ID 1350016, 31 p. (2014; Zbl 1376.37074) Full Text: DOI arXiv
Gismatullin, Jakub; Penazzi, Davide; Pillay, Anand On compactifications and the topological dynamics of definable groups. (English) Zbl 1323.03040 Ann. Pure Appl. Logic 165, No. 2, 552-562 (2014). MSC: 03C45 03C60 22C05 37B05 PDFBibTeX XMLCite \textit{J. Gismatullin} et al., Ann. Pure Appl. Logic 165, No. 2, 552--562 (2014; Zbl 1323.03040) Full Text: DOI arXiv
Pogorzelski, Felix Almost-additive ergodic theorems for amenable groups. (English) Zbl 1300.37006 J. Funct. Anal. 265, No. 8, 1615-1666 (2013). Reviewer: Bolis Basit (Clayton) MSC: 37A30 43A07 20H05 37A15 PDFBibTeX XMLCite \textit{F. Pogorzelski}, J. Funct. Anal. 265, No. 8, 1615--1666 (2013; Zbl 1300.37006) Full Text: DOI arXiv
Capobianco, Silvio; Guillon, Pierre; Kari, Jarkko Surjective cellular automata far from the Garden of Eden. (English) Zbl 1285.68099 Discrete Math. Theor. Comput. Sci. 15, No. 3, 41-60 (2013). MSC: 68Q80 37B15 68R10 PDFBibTeX XMLCite \textit{S. Capobianco} et al., Discrete Math. Theor. Comput. Sci. 15, No. 3, 41--60 (2013; Zbl 1285.68099) Full Text: Link
Melleray, Julien; Tsankov, Todor Generic representations of abelian groups and extreme amenability. (English) Zbl 1279.43002 Isr. J. Math. 198, 129-167 (2013). Reviewer: Victor Sharapov (Volgograd) MSC: 43A07 37C99 54C99 34C99 PDFBibTeX XMLCite \textit{J. Melleray} and \textit{T. Tsankov}, Isr. J. Math. 198, 129--167 (2013; Zbl 1279.43002) Full Text: DOI arXiv
Kerr, David; Li, Hanfeng Soficity, amenability, and dynamical entropy. (English) Zbl 1282.37011 Am. J. Math. 135, No. 3, 721-761 (2013). Reviewer: Thomas B. Ward (Durham) MSC: 37A35 37B40 PDFBibTeX XMLCite \textit{D. Kerr} and \textit{H. Li}, Am. J. Math. 135, No. 3, 721--761 (2013; Zbl 1282.37011) Full Text: DOI arXiv
Van Thé, L. Nguyen More on the Kechris-Pestov-Todorcevic correspondence: precompact expansions. (English) Zbl 1293.37006 Fundam. Math. 222, No. 1, 19-47 (2013). MSC: 37B05 05D10 22F50 43A07 54H20 PDFBibTeX XMLCite \textit{L. N. Van Thé}, Fundam. Math. 222, No. 1, 19--47 (2013; Zbl 1293.37006) Full Text: DOI arXiv
Van Thé, L. Nguyen Universal flows of closed subgroups of \(S_{\infty}\) and relative extreme amenability. (English) Zbl 1271.37010 Ludwig, Monika (ed.) et al., Asymptotic geometric analysis. Proceedings of the fall 2010 Fields Institute thematic program. New York, NY: Springer; Toronto: The Fields Institute for Research in the Mathematical Sciences (ISBN 978-1-4614-6405-1/hbk; 978-1-4614-6406-8/ebook). Fields Institute Communications 68, 229-245 (2013). MSC: 37B05 03C15 03E02 03E15 05D10 22F50 43A07 54H20 PDFBibTeX XMLCite \textit{L. N. Van Thé}, Fields Inst. Commun. 68, 229--245 (2013; Zbl 1271.37010) Full Text: DOI arXiv
Amir, Gideon; Angel, Omer; Virág, Bálint Amenability of linear-activity automaton groups. (English) Zbl 1277.37019 J. Eur. Math. Soc. (JEMS) 15, No. 3, 705-730 (2013). Reviewer: Laurent Bartholdi (Göttingen) MSC: 37B05 20E08 20F05 60G50 20E36 PDFBibTeX XMLCite \textit{G. Amir} et al., J. Eur. Math. Soc. (JEMS) 15, No. 3, 705--730 (2013; Zbl 1277.37019) Full Text: DOI arXiv
Stadlbauer, Manuel An extension of Kesten’s criterion for amenability to topological Markov chains. (English) Zbl 1298.37008 Adv. Math. 235, 450-468 (2013). Reviewer: Peter Raith (Wien) MSC: 37B10 37A50 20F69 37C30 PDFBibTeX XMLCite \textit{M. Stadlbauer}, Adv. Math. 235, 450--468 (2013; Zbl 1298.37008) Full Text: DOI arXiv
Houdayer, Cyril Invariant percolation and measured theory of nonamenable groups. (English) Zbl 1267.37005 Séminaire Bourbaki. Volume 2010/2011. Exposés 1027–1042. Avec table par noms d’auteurs de 1948/49 à 2009/10. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-351-5/pbk). Astérisque 348, 339-374 (2012). Reviewer: Thomas B. Ward (Durham) MSC: 37A15 37A55 43A07 PDFBibTeX XMLCite \textit{C. Houdayer}, Astérisque 348, 339--374 (2012; Zbl 1267.37005) Full Text: arXiv
Elek, Gábor Finite graphs and amenability. (English) Zbl 1252.05185 J. Funct. Anal. 263, No. 9, 2593-2614 (2012). MSC: 05C75 05C80 37A35 37A20 PDFBibTeX XMLCite \textit{G. Elek}, J. Funct. Anal. 263, No. 9, 2593--2614 (2012; Zbl 1252.05185) Full Text: DOI arXiv
Abért, Miklós; Elek, Gábor Hyperfinite actions on countable sets and probability measure spaces. (English) Zbl 1348.37004 Bowen, Lewis (ed.) et al., Dynamical systems and group actions. Dedicated to Anatoli Stepin on the occasion of his 70th birthday. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-6922-2/pbk; 978-0-8218-8539-0/ebook). Contemporary Mathematics 567, 1-16 (2012). MSC: 37A15 43A07 PDFBibTeX XMLCite \textit{M. Abért} and \textit{G. Elek}, Contemp. Math. 567, 1--16 (2012; Zbl 1348.37004) Full Text: DOI arXiv
Kechris, Alexander S.; Sokić, Miodrag Dynamical properties of the automorphism groups of the random poset and random distributive lattice. (English) Zbl 1260.03063 Fundam. Math. 218, No. 1, 69-94 (2012). MSC: 03C15 05D10 43A07 37B05 06D05 PDFBibTeX XMLCite \textit{A. S. Kechris} and \textit{M. Sokić}, Fundam. Math. 218, No. 1, 69--94 (2012; Zbl 1260.03063) Full Text: DOI
Nekrashevych, Volodymyr Iterated monodromy groups. (English) Zbl 1235.37016 Campbell, C.M. (ed.) et al., Groups St. Andrews 2009. Vol. I. Selected papers of the conference, University of Bath, Bath, UK, August 2009. Cambridge: Cambridge University Press (ISBN 978-0-521-27903-1/pbk). London Mathematical Society Lecture Note Series 387, 41-93 (2011). Reviewer: Laurent Bartholdi (Göttingen) MSC: 37F20 20F65 20E08 37F15 PDFBibTeX XMLCite \textit{V. Nekrashevych}, Lond. Math. Soc. Lect. Note Ser. 387, 41--93 (2011; Zbl 1235.37016) Full Text: arXiv
Alcalde Cuesta, Fernando; Fernández de Córdoba, María P. Branching number of a pseudogroup. (Nombre de branchement d’un pseudogroupe.) (French. English summary) Zbl 1236.05099 Monatsh. Math. 163, No. 4, 389-414 (2011). MSC: 05C25 05C05 37A20 37C85 43A07 58H05 57R30 60J10 60J80 PDFBibTeX XMLCite \textit{F. Alcalde Cuesta} and \textit{M. P. Fernández de Córdoba}, Monatsh. Math. 163, No. 4, 389--414 (2011; Zbl 1236.05099) Full Text: DOI
Douglas, Ronald G.; Nowak, Piotr W. Hilbert \(C^{*}\)-modules and amenable actions. (English) Zbl 1404.22050 Stud. Math. 199, No. 2, 185-197 (2010). MSC: 22F10 37A15 37E10 46L08 PDFBibTeX XMLCite \textit{R. G. Douglas} and \textit{P. W. Nowak}, Stud. Math. 199, No. 2, 185--197 (2010; Zbl 1404.22050) Full Text: DOI arXiv
Bartholdi, Laurent; Kaimanovich, Vadim A.; Nekrashevych, Volodymyr V. On amenability of automata groups. (English) Zbl 1268.20026 Duke Math. J. 154, No. 3, 575-598 (2010). MSC: 20E08 43A07 37A50 60G50 20P05 PDFBibTeX XMLCite \textit{L. Bartholdi} et al., Duke Math. J. 154, No. 3, 575--598 (2010; Zbl 1268.20026) Full Text: DOI arXiv
Kaimanovich, Vadim A. Self-similarity and random walks. (English) Zbl 1231.43001 Bandt, Christoph (ed.) et al., Fractal geometry and stochastics IV. Proceedings of the 4th conference, Greifswald, Germany, September 8–12, 2008. Basel: Birkhäuser (ISBN 978-3-0346-0029-3/hbk; 978-3-0346-0030-9/ebook). Progress in Probability 61, 45-70 (2009). MSC: 43A07 43-02 20E08 60G50 60B15 37A50 PDFBibTeX XMLCite \textit{V. A. Kaimanovich}, Prog. Probab. 61, 45--70 (2009; Zbl 1231.43001) Full Text: arXiv
Kerr, David; Li, Hanfeng Combinatorial independence in measurable dynamics. (English) Zbl 1170.37007 J. Funct. Anal. 256, No. 5, 1341-1386 (2009). Reviewer: Makoto Mori (Tokyo) MSC: 37A25 37A55 PDFBibTeX XMLCite \textit{D. Kerr} and \textit{H. Li}, J. Funct. Anal. 256, No. 5, 1341--1386 (2009; Zbl 1170.37007) Full Text: DOI arXiv
Lyons, Russell; Pichot, Mikaël; Vassout, Stéphane Uniform non-amenability, cost, and the first \(\ell^2\)-Betti number. (English) Zbl 1196.37011 Groups Geom. Dyn. 2, No. 4, 595-617 (2008). MSC: 37A20 28D05 20F65 43A07 PDFBibTeX XMLCite \textit{R. Lyons} et al., Groups Geom. Dyn. 2, No. 4, 595--617 (2008; Zbl 1196.37011) Full Text: DOI arXiv Link
Valette, Alain Amenability and Margulis super-rigidity. (English) Zbl 1142.22003 Casadio Tarabusi, Enrico (ed.) et al., Representation theory and complex analysis. Lectures given at the C.I.M.E. summer school, Venice, Italy, June 10–17, 2004. Berlin: Springer (ISBN 978-3-540-76891-3/pbk). Lecture Notes in Mathematics 1931, 235-258 (2008). Reviewer: Herbert Abels (Bielefeld) MSC: 22D40 22D10 22E40 37A45 PDFBibTeX XMLCite \textit{A. Valette}, Lect. Notes Math. 1931, 235--258 (2008; Zbl 1142.22003) Full Text: DOI
Hjorth, Greg Non-treeability for product group actions. (English) Zbl 1140.37002 Isr. J. Math. 163, 383-409 (2008). Reviewer: Thomas Ward (Norwich) MSC: 37A15 28D15 37A20 PDFBibTeX XMLCite \textit{G. Hjorth}, Isr. J. Math. 163, 383--409 (2008; Zbl 1140.37002) Full Text: DOI
Ceccherini-Silberstein, T. G.; Samet-Vaillant, A. Y. Gromov’s translation algebras, growth and amenability of operator algebras. (English) Zbl 1157.37004 Expo. Math. 26, No. 2, 141-162 (2008). Reviewer: Pere Ara (Bellaterra) MSC: 37B15 43A07 20F65 46L05 PDFBibTeX XMLCite \textit{T. G. Ceccherini-Silberstein} and \textit{A. Y. Samet-Vaillant}, Expo. Math. 26, No. 2, 141--162 (2008; Zbl 1157.37004) Full Text: DOI
Popa, Sorin Deformation and rigidity for group actions and von Neumann algebras. (English) Zbl 1132.46038 Sanz-Solé, Marta (ed.) et al., Proceedings of the international congress of mathematicians (ICM), Madrid, Spain, August 22–30, 2006. Volume I: Plenary lectures and ceremonies. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-022-7/hbk). 445-477 (2007). Reviewer: Sh. A. Ayupov (Tashkent) MSC: 46L35 37A20 22D25 28D15 PDFBibTeX XMLCite \textit{S. Popa}, in: Proceedings of the international congress of mathematicians (ICM), Madrid, Spain, August 22--30, 2006. Volume I: Plenary lectures and ceremonies. Zürich: European Mathematical Society (EMS). 445--477 (2007; Zbl 1132.46038)
Pichot, Mikaël On the spectral theory of measured equivalence relations. (Sur la théorie spectrale des relations d’équivalence mesurées.) (French) Zbl 1135.37007 J. Inst. Math. Jussieu 6, No. 3, 453-500 (2007). MSC: 37A20 37A30 22D10 47A35 37A50 PDFBibTeX XMLCite \textit{M. Pichot}, J. Inst. Math. Jussieu 6, No. 3, 453--500 (2007; Zbl 1135.37007) Full Text: DOI
Grigorchuk, Rostislav; Šunić, Zoran Self-similarity and branching in group theory. (English) Zbl 1185.20044 Campbell, C.M. (ed.) et al., Groups St. Andrews 2005. Vol. I. Selected papers of the conference, St. Andrews, UK, July 30–August 6, 2005. Cambridge: Cambridge University Press (ISBN 978-0-521-69469-8/pbk). London Mathematical Society Lecture Note Series 339, 36-95 (2007). MSC: 20F65 20E08 20F10 20F05 43A07 37A15 37F10 57M07 PDFBibTeX XMLCite \textit{R. Grigorchuk} and \textit{Z. Šunić}, Lond. Math. Soc. Lect. Note Ser. 339, 36--95 (2007; Zbl 1185.20044)
Renault, Jean Transverse properties of dynamical systems. (English) Zbl 1109.37003 Kaimanovich, V. (ed.) et al., Representation theory, dynamical systems, and asymptotic combinatorics. Based on the conference, St. Petersburg, Russia, June 8–13, 2004 on the occasion of the 70th birthday of Anatoly Vershik. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-4208-0/hbk). Translations. Series 2. American Mathematical Society 217. Advances in the Mathematical Sciences 58, 185-200 (2006). MSC: 37A20 46L80 46L05 PDFBibTeX XMLCite \textit{J. Renault}, Transl., Ser. 2, Am. Math. Soc. 217, 185--200 (2006; Zbl 1109.37003)
Hjorth, Greg The Furstenberg lemma characterizes amenability. (English) Zbl 1094.03033 Proc. Am. Math. Soc. 134, No. 10, 3061-3069 (2006). MSC: 03E15 37A20 28A60 PDFBibTeX XMLCite \textit{G. Hjorth}, Proc. Am. Math. Soc. 134, No. 10, 3061--3069 (2006; Zbl 1094.03033) Full Text: DOI
Kaimanovich, Vadim A. “Münchhausen trick” and amenability of self-similar groups. (English) Zbl 1168.20308 Int. J. Algebra Comput. 15, No. 5-6, 907-937 (2005). MSC: 20E08 20F69 37A50 43A07 60B15 60G50 60J10 PDFBibTeX XMLCite \textit{V. A. Kaimanovich}, Int. J. Algebra Comput. 15, No. 5--6, 907--937 (2005; Zbl 1168.20308) Full Text: DOI
Aaronson, Jon; Weiss, Benjamin On Herman’s theorem for ergodic, amenable group extensions of endomorphisms. (English) Zbl 1087.37004 Ergodic Theory Dyn. Syst. 24, No. 5, 1283-1293 (2004). MSC: 37A15 28D15 28D05 PDFBibTeX XMLCite \textit{J. Aaronson} and \textit{B. Weiss}, Ergodic Theory Dyn. Syst. 24, No. 5, 1283--1293 (2004; Zbl 1087.37004) Full Text: DOI
Kaimanovich, Vadim A. Boundary amenability of hyperbolic spaces. (English) Zbl 1061.43003 Kotani, Motoko (ed.) et al., Discrete geometric analysis. Proceedings of the 1st JAMS symposium, Sendai, Japan, December 12–20, 2002. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3351-0/pbk). Contemporary Mathematics 347, 83-111 (2004). Reviewer: Messoud A. Efendiev (Berlin) MSC: 43A07 37A20 53C99 20F67 28A20 53C12 PDFBibTeX XMLCite \textit{V. A. Kaimanovich}, Contemp. Math. 347, 83--111 (2004; Zbl 1061.43003) Full Text: arXiv
Kechris, Alexander S.; Miller, Benjamin D. Topics in orbit equivalence. (English) Zbl 1058.37003 Lecture Notes in Mathematics 1852. Berlin: Springer (ISBN 3-540-22603-6/pbk). x, 134 p. (2004). Reviewer: Thomas Ward (Norwich) MSC: 37A15 03E15 28D05 28D15 37A20 PDFBibTeX XMLCite \textit{A. S. Kechris} and \textit{B. D. Miller}, Topics in orbit equivalence. Berlin: Springer (2004; Zbl 1058.37003) Full Text: DOI Backlinks: MO
Glasner, E.; Weiss, B. Minimal actions of the group \(\mathbb{S}(\mathbb{Z})\) of permutations of the integers. (English) Zbl 1025.37006 Geom. Funct. Anal. 12, No. 5, 964-988 (2002). Reviewer: Vladimir Pestov (Ottawa) MSC: 37B05 37B10 54H20 20B27 PDFBibTeX XMLCite \textit{E. Glasner} and \textit{B. Weiss}, Geom. Funct. Anal. 12, No. 5, 964--988 (2002; Zbl 1025.37006) Full Text: DOI
Alcalde Cuesta, Fernando; Bermúdez Carro, Miguel Angel A remark on graphed equivalence relations with harmonic measures. (Une remarque sur les relations d’équivalence graphées, munies de mesures harmoniques.) (French) Zbl 1004.37003 C. R. Acad. Sci., Paris, Sér. I, Math. 332, No. 7, 637-640 (2001). Reviewer: A.Morimoto (Nagoya) MSC: 37A20 PDFBibTeX XMLCite \textit{F. Alcalde Cuesta} and \textit{M. A. Bermúdez Carro}, C. R. Acad. Sci., Paris, Sér. I, Math. 332, No. 7, 637--640 (2001; Zbl 1004.37003) Full Text: DOI
de la Harpe, P.; Grigorchuk, R. I.; Ceccherini-Silberstein, T. Amenability and paradoxical decompositions for pseudogroups and for discrete metric spaces. (English. Russian original) Zbl 0968.43002 Proc. Steklov Inst. Math. 224, 57-97 (1999); translation from Tr. Mat. Inst. Steklova 224, 68-111 (1999). Reviewer: Anatoli Grigori Baskakov (Voronezh) MSC: 43A07 22D40 20F65 37A15 PDFBibTeX XMLCite \textit{P. de la Harpe} et al., in: Алгебра. Топология. Дифференциальные уравнения и их приложения. Сборник статей. К 90-летию со дня рождения академика Льва Семеновича Понтрягина. Moskva: Nauka, Maik Nauka/ Interperiodika. 68--111 (1999; Zbl 0968.43002); translation from Tr. Mat. Inst. Steklova 224, 68--111 (1999) Full Text: arXiv
Kaimanovich, Vadim A. Amenability, hyperfiniteness, and isoperimetric inequalities. (English. Abridged French version) Zbl 0981.28014 C. R. Acad. Sci., Paris, Sér. I, Math. 325, No. 9, 999-1004 (1997). MSC: 28D15 37A20 22D40 PDFBibTeX XMLCite \textit{V. A. Kaimanovich}, C. R. Acad. Sci., Paris, Sér. I, Math. 325, No. 9, 999--1004 (1997; Zbl 0981.28014) Full Text: DOI
Adams, S. Indecomposability of equivalence relations generated by word hyperbolic groups. (English) Zbl 0838.20043 Topology 33, No. 4, 785-798 (1994). Reviewer: A.Papadopoulos (Strasbourg) MSC: 20F65 37A99 43A07 20E07 PDFBibTeX XMLCite \textit{S. Adams}, Topology 33, No. 4, 785--798 (1994; Zbl 0838.20043) Full Text: DOI
Moulin Ollagnier, Jean Ergodic theory and statistical mechanics. (English) Zbl 0558.28010 Lecture Notes in Mathematics. 1115. Berlin etc.: Springer-Verlag. vi, 147 p. (1985). Reviewer: D. Stone MSC: 37A20 37A60 37-02 37B40 28-02 28D20 22F10 82B05 28D10 54H20 PDFBibTeX XML