Zheng, Tianyi Asymptotic behaviors of random walks on countable groups. (English) Zbl 07822658 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 4. Sections 5–8. Berlin: European Mathematical Society (EMS). 3340-3365 (2023). MSC: 20F69 60B15 46B85 PDFBibTeX XMLCite \textit{T. Zheng}, in: International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6--14, 2022. Volume 4. Sections 5--8. Berlin: European Mathematical Society (EMS). 3340--3365 (2023; Zbl 07822658) Full Text: DOI OA License
Heizmann, Nico; Kaiser, Robin; Sava-Huss, Ecaterina Sandpiles on the Vicsek fractal explode with probability 1/4. arXiv:2312.13647 Preprint, arXiv:2312.13647 [math.PR] (2023). MSC: 05C81 20K01 60J10 31E05 BibTeX Cite \textit{N. Heizmann} et al., ``Sandpiles on the Vicsek fractal explode with probability 1/4'', Preprint, arXiv:2312.13647 [math.PR] (2023) Full Text: arXiv OA License
Brieussel, Jérémie; Zheng, Tianyi Speed of random walks, isoperimetry and compression of finitely generated groups. (English) Zbl 07310598 Ann. Math. (2) 193, No. 1, 1-105 (2021). MSC: 20F69 60B15 46B85 20E22 PDFBibTeX XMLCite \textit{J. Brieussel} and \textit{T. Zheng}, Ann. Math. (2) 193, No. 1, 1--105 (2021; Zbl 07310598) Full Text: DOI arXiv
Nayatani, Shin Fixed-point property for affine actions on a Hilbert space. (English) Zbl 1486.20059 RIMS Kôkyûroku Bessatsu B66, 115-131 (2017). MSC: 20F65 20P05 53C23 58E20 PDFBibTeX XMLCite \textit{S. Nayatani}, RIMS Kôkyûroku Bessatsu B66, 115--131 (2017; Zbl 1486.20059) Full Text: arXiv
Benjamini, Itai; Tessera, Romain First passage percolation on nilpotent Cayley graphs and beyond. (English) Zbl 1328.60207 Electron. J. Probab. 20, Paper No. 99, 20 p. (2015). MSC: 60K35 20F69 22D10 20E22 46B85 PDFBibTeX XMLCite \textit{I. Benjamini} and \textit{R. Tessera}, Electron. J. Probab. 20, Paper No. 99, 20 p. (2015; Zbl 1328.60207) Full Text: DOI arXiv
Lück, Wolfgang Some open problems about aspherical closed manifolds. (English) Zbl 1327.57001 Ancona, Vincenzo (ed.) et al., Trends in contemporary mathematics. Selected talks based on the presentations at the INdAM day, June 18, 2014. Cham: Springer (ISBN 978-3-319-05253-3/hbk; 978-3-319-05254-0/ebook). Springer INdAM Series 8, 33-46 (2014). MSC: 57-02 57N99 53C24 57P10 19-02 20F38 PDFBibTeX XMLCite \textit{W. Lück}, Springer INdAM Ser. 8, 33--46 (2014; Zbl 1327.57001) Full Text: DOI
Izeki, Hiroyasu; Kondo, Takefumi; Nayatani, Shin \(N\)-step energy of maps and the fixed-point property of random groups. (English) Zbl 1337.20042 Groups Geom. Dyn. 6, No. 4, 701-736 (2012). MSC: 20F65 20P05 53C23 58C30 PDFBibTeX XMLCite \textit{H. Izeki} et al., Groups Geom. Dyn. 6, No. 4, 701--736 (2012; Zbl 1337.20042) Full Text: DOI arXiv
Kondo, Takefumi CAT(0) spaces and expanders. (English) Zbl 1284.20043 Math. Z. 271, No. 1-2, 343-355 (2012). MSC: 20F65 58E20 20P05 53C23 PDFBibTeX XMLCite \textit{T. Kondo}, Math. Z. 271, No. 1--2, 343--355 (2012; Zbl 1284.20043) Full Text: DOI
Dolinka, Igor; Mašulović, Dragan Properties of the automorphism group and a probabilistic construction of a class of countable labeled structures. (English) Zbl 1239.03021 J. Comb. Theory, Ser. A 119, No. 5, 1014-1030 (2012). MSC: 03C15 05C15 05C80 20B27 54E35 54E70 60B99 PDFBibTeX XMLCite \textit{I. Dolinka} and \textit{D. Mašulović}, J. Comb. Theory, Ser. A 119, No. 5, 1014--1030 (2012; Zbl 1239.03021) Full Text: DOI
Mackay, John M. Conformal dimension and random groups. (English) Zbl 1280.20044 Geom. Funct. Anal. 22, No. 1, 213-239 (2012). MSC: 20F65 20F06 20F67 20P05 57M07 57M20 30F45 53C23 PDFBibTeX XMLCite \textit{J. M. Mackay}, Geom. Funct. Anal. 22, No. 1, 213--239 (2012; Zbl 1280.20044) Full Text: DOI arXiv
Petit, Camille Harmonic functions on hyperbolic graphs. (English) Zbl 1246.31003 Proc. Am. Math. Soc. 140, No. 1, 235-248 (2012). Reviewer: Mikhail Skopenkov (Moscow) MSC: 31C05 05C81 60J45 60D05 31E05 60J50 20F67 PDFBibTeX XMLCite \textit{C. Petit}, Proc. Am. Math. Soc. 140, No. 1, 235--248 (2012; Zbl 1246.31003) Full Text: DOI arXiv
Fujiwara, Koji; Toyoda, Tetsu Random groups have fixed points on \(\text{CAT}(0)\) cube complexes. (English) Zbl 1238.53029 Proc. Am. Math. Soc. 140, No. 3, 1023-1031 (2012). Reviewer: Leonid Kovalev (Syracuse) MSC: 53C23 20F65 20P05 51F99 PDFBibTeX XMLCite \textit{K. Fujiwara} and \textit{T. Toyoda}, Proc. Am. Math. Soc. 140, No. 3, 1023--1031 (2012; Zbl 1238.53029) Full Text: DOI arXiv
Mosina, Natalia; Ushakov, Alexander Strong law of large numbers on graphs and groups. (English) Zbl 1246.60012 Groups Complex. Cryptol. 3, No. 1, 67-103 (2011). Reviewer: Ove Frank (Stockholm) MSC: 60B15 20P05 05C12 05C25 PDFBibTeX XMLCite \textit{N. Mosina} and \textit{A. Ushakov}, Groups Complex. Cryptol. 3, No. 1, 67--103 (2011; Zbl 1246.60012) Full Text: DOI arXiv
Blachère, Sébastien; Haïssinsky, Peter; Mathieu, Pierre Harmonic measures versus quasiconformal measures for hyperbolic groups. (Mesures harmoniques et mesures quasiconformes sur les groupes hyperboliques.) (English. French summary) Zbl 1243.60005 Ann. Sci. Éc. Norm. Supér. (4) 44, No. 4, 683-721 (2011). Reviewer: Athanase Papadopoulos (Strasbourg) MSC: 60B15 20F67 31C12 31C45 60J50 PDFBibTeX XMLCite \textit{S. Blachère} et al., Ann. Sci. Éc. Norm. Supér. (4) 44, No. 4, 683--721 (2011; Zbl 1243.60005) Full Text: DOI arXiv Link
Naor, Assaf; Silberman, Lior Poincaré inequalities, embeddings, and wild groups. (English) Zbl 1267.20057 Compos. Math. 147, No. 5, 1546-1572 (2011). MSC: 20F65 58E40 46B85 20P05 PDFBibTeX XMLCite \textit{A. Naor} and \textit{L. Silberman}, Compos. Math. 147, No. 5, 1546--1572 (2011; Zbl 1267.20057) Full Text: DOI arXiv
Darji, U. B.; Mitchell, J. D. Approximation of automorphisms of the rationals and the random graph. (English) Zbl 1235.20002 J. Group Theory 14, No. 3, 361-388 (2011). Reviewer: John D. Dixon (Ottawa) MSC: 20B27 05C80 54E50 54H11 20F05 PDFBibTeX XMLCite \textit{U. B. Darji} and \textit{J. D. Mitchell}, J. Group Theory 14, No. 3, 361--388 (2011; Zbl 1235.20002) Full Text: DOI
Izeki, Hiroyasu; Kondo, Takefumi; Nayatani, Shin Fixed-point property of random groups. (English) Zbl 1236.20046 Ann. Global Anal. Geom. 35, No. 4, 363-379 (2009). MSC: 20F65 58E20 20P05 53C23 PDFBibTeX XMLCite \textit{H. Izeki} et al., Ann. Global Anal. Geom. 35, No. 4, 363--379 (2009; Zbl 1236.20046) Full Text: DOI
Kondo, Takefumi A remark on random groups of the triangular model. (English) Zbl 1175.20033 Hilgert, Joachim (ed.) et al., Proceedings of the fourth German-Japanese symposium on infinite dimensional harmonic analysis IV. On the interplay between representation theory, random matrices, special functions, and probability, Tokyo, Japan, September 10–14, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-283-281-8/hbk). 163-167 (2009). MSC: 20F67 53C20 58E20 60G50 53C23 20P05 PDFBibTeX XMLCite \textit{T. Kondo}, in: Proceedings of the fourth German-Japanese symposium on infinite dimensional harmonic analysis IV. On the interplay between representation theory, random matrices, special functions, and probability, Tokyo, Japan, September 10--14, 2007. Hackensack, NJ: World Scientific. 163--167 (2009; Zbl 1175.20033)
Tessera, Romain Large scale Sobolev inequalities on metric measure spaces and applications. (English) Zbl 1194.53036 Rev. Mat. Iberoam. 24, No. 3, 825-864 (2008). MSC: 53C23 22D05 46E35 60G50 20F65 PDFBibTeX XMLCite \textit{R. Tessera}, Rev. Mat. Iberoam. 24, No. 3, 825--864 (2008; Zbl 1194.53036) Full Text: DOI arXiv Euclid EuDML
Naor, Assaf; Peres, Yuval Embeddings of discrete groups and the speed of random walks. (English) Zbl 1163.46007 Int. Math. Res. Not. 2008, Article ID rnn076, 34 p. (2008). Reviewer: Mikhail Ostrovskii (Queens) MSC: 46B07 05C12 20F65 54E35 60G50 PDFBibTeX XMLCite \textit{A. Naor} and \textit{Y. Peres}, Int. Math. Res. Not. 2008, Article ID rnn076, 34 p. (2008; Zbl 1163.46007) Full Text: DOI arXiv
Sharp, Richard Critical exponents for groups of isometries. (English) Zbl 1137.20037 Geom. Dedicata 125, 63-74 (2007). Reviewer: P. D. Andreev (Arkhangelsk) MSC: 20F67 20F69 37C35 43A07 53C23 PDFBibTeX XMLCite \textit{R. Sharp}, Geom. Dedicata 125, 63--74 (2007; Zbl 1137.20037) Full Text: DOI Link
Elek, Gábor; Sós, Vera T. Paradoxical decompositions and growth conditions. (English) Zbl 1059.05057 Comb. Probab. Comput. 14, No. 1-2, 81-105 (2005). Reviewer: Hans Peter Künzi (Rondebosch) MSC: 05C25 20F65 43A05 54E35 43A07 PDFBibTeX XMLCite \textit{G. Elek} and \textit{V. T. Sós}, Comb. Probab. Comput. 14, No. 1--2, 81--105 (2005; Zbl 1059.05057) Full Text: DOI
Ollivier, Y. Sharp phase transition theorems for hyperbolicity of random groups. (English) Zbl 1064.20045 Geom. Funct. Anal. 14, No. 3, 595-679 (2004). Reviewer: Athanase Papadopoulos (Strasbourg) MSC: 20F67 20F65 57M07 20P05 60C05 53C23 20F05 PDFBibTeX XMLCite \textit{Y. Ollivier}, Geom. Funct. Anal. 14, No. 3, 595--679 (2004; Zbl 1064.20045) Full Text: DOI arXiv
Silberman, L. Addendum to “Random walk in random groups” by M. Gromov. (English) Zbl 1124.20027 Geom. Funct. Anal. 13, No. 1, 147-177 (2003). Reviewer: Yasuhiro Asoo (Tokyo) MSC: 20F67 20F65 20P05 60G50 20F06 53C23 05C25 PDFBibTeX XMLCite \textit{L. Silberman}, Geom. Funct. Anal. 13, No. 1, 147--177 (2003; Zbl 1124.20027) Full Text: DOI
Gromov, M. Random walk in random groups. (English) Zbl 1122.20021 Geom. Funct. Anal. 13, No. 1, 73-146 (2003). MSC: 20F67 20F65 20P05 60G50 20F06 53C23 05C25 PDFBibTeX XMLCite \textit{M. Gromov}, Geom. Funct. Anal. 13, No. 1, 73--146 (2003; Zbl 1122.20021) Full Text: DOI
Pittel, Boris On a likely shape of the random Ferrers diagram. (English) Zbl 0894.11039 Adv. Appl. Math. 18, No. 4, 432-488 (1997). Reviewer: M.Szalay (Budapest) MSC: 11P82 05A17 11K99 60C05 20C30 20P05 60J10 PDFBibTeX XMLCite \textit{B. Pittel}, Adv. Appl. Math. 18, No. 4, 432--488 (1997; Zbl 0894.11039) Full Text: DOI