Gekhtman, Ilya; Gerasimov, Victor; Potyagailo, Leonid; Yang, Wenyuan Martin boundary covers Floyd boundary. (English) Zbl 07306980 Invent. Math. 223, No. 2, 759-809 (2021). MSC: 20F65 20F67 57M07 22D05 60B15 60G50 PDF BibTeX XML Cite \textit{I. Gekhtman} et al., Invent. Math. 223, No. 2, 759--809 (2021; Zbl 07306980) Full Text: DOI
Ignatiouk-Robert, Irina Harmonic functions of random walks in a semigroup via ladder heights. (English) Zbl 07306251 J. Theor. Probab. 34, No. 1, 34-80 (2021). MSC: 60J45 31C05 60J10 PDF BibTeX XML Cite \textit{I. Ignatiouk-Robert}, J. Theor. Probab. 34, No. 1, 34--80 (2021; Zbl 07306251) Full Text: DOI
Ejsmont, Wiktor; Lehner, Franz The free tangent law. (English) Zbl 07304603 Adv. Appl. Math. 121, Article ID 102093, 32 p. (2020). MSC: 46L54 11B68 60F05 PDF BibTeX XML Cite \textit{W. Ejsmont} and \textit{F. Lehner}, Adv. Appl. Math. 121, Article ID 102093, 32 p. (2020; Zbl 07304603) Full Text: DOI
Nicolussi, Noema Strong isoperimetric inequality for tessellating quantum graphs. (English) Zbl 07261937 Atay, Fatihcan M. (ed.) et al., Discrete and continuous models in the theory of networks. Selected contributions from the participants of the research group hosted by the ZiF – Center for Interdisciplinary Research, University of Bielefeld, Bielefeld, Germany, October 2012 – September 2017 and the final conference, University of Bielefeld, Bielefeld, Germany, November 27 – December 1, 2017. Cham: Springer (ISBN 978-3-030-44096-1/hbk; 978-3-030-44097-8/ebook). Operator Theory: Advances and Applications 281, 271-290 (2020). MSC: 47 37 PDF BibTeX XML Cite \textit{N. Nicolussi}, Oper. Theory: Adv. Appl. 281, 271--290 (2020; Zbl 07261937) Full Text: DOI
Ishiwata, Satoshi; Kawabi, Hiroshi; Namba, Ryuya Central limit theorems for non-symmetric random walks on nilpotent covering graphs. I. (English) Zbl 07252718 Electron. J. Probab. 25, Paper No. 86, 46 p. (2020). MSC: 60F17 60G50 60J10 22E25 PDF BibTeX XML Cite \textit{S. Ishiwata} et al., Electron. J. Probab. 25, Paper No. 86, 46 p. (2020; Zbl 07252718) Full Text: DOI Euclid
Hutchcroft, Tom Non-intersection of transient branching random walks. (English) Zbl 07250110 Probab. Theory Relat. Fields 178, No. 1-2, 1-23 (2020). MSC: 60K35 PDF BibTeX XML Cite \textit{T. Hutchcroft}, Probab. Theory Relat. Fields 178, No. 1--2, 1--23 (2020; Zbl 07250110) Full Text: DOI
Moshchevitin, Nikolay; Murphy, Brendan; Shkredov, Ilya Popular products and continued fractions. (English) Zbl 1450.11007 Isr. J. Math. 238, No. 2, 807-835 (2020). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 11B30 11A55 PDF BibTeX XML Cite \textit{N. Moshchevitin} et al., Isr. J. Math. 238, No. 2, 807--835 (2020; Zbl 1450.11007) Full Text: DOI
Chen, Xinxing; Xie, Jiansheng; Zhao, Minzhi Asymptotic entropy of the ranges of random walks on discrete groups. (English) Zbl 07242638 Sci. China, Math. 63, No. 6, 1153-1168 (2020). MSC: 60G50 60J10 05C25 PDF BibTeX XML Cite \textit{X. Chen} et al., Sci. China, Math. 63, No. 6, 1153--1168 (2020; Zbl 07242638) Full Text: DOI
Bertacchi, Daniela; Zucca, Fabio Branching random walks with uncountably many extinction probability vectors. (English) Zbl 07232937 Braz. J. Probab. Stat. 34, No. 2, 426-438 (2020). MSC: 60J80 60K35 PDF BibTeX XML Cite \textit{D. Bertacchi} and \textit{F. Zucca}, Braz. J. Probab. Stat. 34, No. 2, 426--438 (2020; Zbl 07232937) Full Text: DOI Euclid
Thomsen, Klaus Phase transition in the CAR algebra. (English) Zbl 07232826 Adv. Math. 372, Article ID 107312, 26 p. (2020). MSC: 47D06 82B10 PDF BibTeX XML Cite \textit{K. Thomsen}, Adv. Math. 372, Article ID 107312, 26 p. (2020; Zbl 07232826) Full Text: DOI
Kesseböhmer, Marc; Samuel, Tony; Sender, Karenina The Sierpiński gasket as the Martin boundary of a non-isotropic Markov chain. (English) Zbl 1452.31018 J. Fractal Geom. 7, No. 2, 113-136 (2020). Reviewer: Marius Ghergu (Dublin) MSC: 31C35 28A80 60J10 60J50 PDF BibTeX XML Cite \textit{M. Kesseböhmer} et al., J. Fractal Geom. 7, No. 2, 113--136 (2020; Zbl 1452.31018) Full Text: DOI
Abächerli, Angelo; Černý, Jiří Level-set percolation of the Gaussian free field on regular graphs. I. Regular trees. (English) Zbl 1446.60079 Electron. J. Probab. 25, Paper No. 65, 24 p. (2020). MSC: 60K35 60G15 PDF BibTeX XML Cite \textit{A. Abächerli} and \textit{J. Černý}, Electron. J. Probab. 25, Paper No. 65, 24 p. (2020; Zbl 1446.60079) Full Text: DOI Euclid
Avni, Nir; Breuer, Jonathan; Simon, Barry Periodic Jacobi matrices on trees. (English) Zbl 07212216 Adv. Math. 370, Article ID 107241, 41 p. (2020). MSC: 47B36 47B15 20E08 PDF BibTeX XML Cite \textit{N. Avni} et al., Adv. Math. 370, Article ID 107241, 41 p. (2020; Zbl 07212216) Full Text: DOI
Dussaule, Matthieu The Martin boundary of a free product of abelian groups. (Le bord de Martin d’un produit libre de groupes abéliens.) (English. French summary) Zbl 1442.31007 Ann. Inst. Fourier 70, No. 1, 313-373 (2020). Reviewer: Marius Ghergu (Dublin) MSC: 31C35 60B15 20F67 PDF BibTeX XML Cite \textit{M. Dussaule}, Ann. Inst. Fourier 70, No. 1, 313--373 (2020; Zbl 1442.31007) Full Text: DOI
Tenner, Bridget Eileen Tiling-based models of perimeter and area. (English) Zbl 1440.05059 Adv. Appl. Math. 119, Article ID 102059, 28 p. (2020). MSC: 05B45 52B60 20F55 52C20 PDF BibTeX XML Cite \textit{B. E. Tenner}, Adv. Appl. Math. 119, Article ID 102059, 28 p. (2020; Zbl 1440.05059) Full Text: DOI
Mathieu, P.; Sisto, A. Deviation inequalities for random walks. (English) Zbl 07198469 Duke Math. J. 169, No. 5, 961-1036 (2020). MSC: 60G50 20F67 20F65 PDF BibTeX XML Cite \textit{P. Mathieu} and \textit{A. Sisto}, Duke Math. J. 169, No. 5, 961--1036 (2020; Zbl 07198469) Full Text: DOI Euclid
Gerasimova, Maria; Gruber, Dominik; Monod, Nicolas; Thom, Andreas Asymptotics of Cheeger constants and unitarisability of groups. (English) Zbl 1436.43002 J. Funct. Anal. 278, No. 11, Article ID 108457, 30 p. (2020). Reviewer: Athanase Papadopoulos (Strasbourg) MSC: 43A07 20F69 PDF BibTeX XML Cite \textit{M. Gerasimova} et al., J. Funct. Anal. 278, No. 11, Article ID 108457, 30 p. (2020; Zbl 1436.43002) Full Text: DOI
Gekhtman, Ilya; Tiozzo, Giulio Entropy and drift for Gibbs measures on geometrically finite manifolds. (English) Zbl 1442.37050 Trans. Am. Math. Soc. 373, No. 4, 2949-2980 (2020). Reviewer: Yan Qi (Xiamen) MSC: 37D35 60G50 53D25 37A35 37D40 PDF BibTeX XML Cite \textit{I. Gekhtman} and \textit{G. Tiozzo}, Trans. Am. Math. Soc. 373, No. 4, 2949--2980 (2020; Zbl 1442.37050) Full Text: DOI
Kasue, Atsushi Resolutive ideal boundaries of nonlinear resistive networks. (English) Zbl 1436.31028 Positivity 24, No. 1, 151-196 (2020). MSC: 31C20 05C63 PDF BibTeX XML Cite \textit{A. Kasue}, Positivity 24, No. 1, 151--196 (2020; Zbl 1436.31028) Full Text: DOI
Erschler, Anna; Zheng, Tianyi Growth of periodic Grigorchuk groups. (English) Zbl 1452.20040 Invent. Math. 219, No. 3, 1069-1155 (2020). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 20F69 60B15 60J05 60J50 20P05 PDF BibTeX XML Cite \textit{A. Erschler} and \textit{T. Zheng}, Invent. Math. 219, No. 3, 1069--1155 (2020; Zbl 1452.20040) Full Text: DOI
Chen, Li; Coulhon, Thierry; Hua, Bobo Riesz transforms for bounded Laplacians on graphs. (English) Zbl 07152512 Math. Z. 294, No. 1-2, 397-417 (2020). MSC: 42B25 60B15 PDF BibTeX XML Cite \textit{L. Chen} et al., Math. Z. 294, No. 1--2, 397--417 (2020; Zbl 07152512) Full Text: DOI arXiv
Grimmett, Geoffrey R.; Li, Zhongyang Cubic graphs and the golden mean. (English) Zbl 1429.05048 Discrete Math. 343, No. 1, Article ID 111638, 32 p. (2020). MSC: 05C10 05C25 PDF BibTeX XML Cite \textit{G. R. Grimmett} and \textit{Z. Li}, Discrete Math. 343, No. 1, Article ID 111638, 32 p. (2020; Zbl 1429.05048) Full Text: DOI arXiv
Stadlbauer, Manuel On conformal measures and harmonic functions for group extensions. (English) Zbl 1447.37033 Pacifico, Maria José (ed.) et al., New trends in one-dimensional dynamics. Proceedings of the meeting on new trends in one-dimensional dynamics, IMPA, Rio de Janeiro, Brasil, November 14–17, 2016. In honour of Welington de Melo’s 70th birthday. Cham: Springer. Springer Proc. Math. Stat. 285, 271-299 (2019). Reviewer: George Stoica (Saint John) MSC: 37C30 37B02 37A15 37A30 PDF BibTeX XML Cite \textit{M. Stadlbauer}, Springer Proc. Math. Stat. 285, 271--299 (2019; Zbl 1447.37033) Full Text: DOI
Grimmett, Geoffrey R.; Li, Zhongyang Self-avoiding walks and connective constants. (English) Zbl 1446.82029 Sidoravicius, Vladas (ed.), Sojourns in probability theory and statistical physics. III. Interacting particle systems and random walks, a festschrift for Charles M. Newman. Singapore: Springer; Shanghai: NYU Shanghai. Springer Proc. Math. Stat. 300, 215-241 (2019). MSC: 82B41 82B20 05C90 PDF BibTeX XML Cite \textit{G. R. Grimmett} and \textit{Z. Li}, Springer Proc. Math. Stat. 300, 215--241 (2019; Zbl 1446.82029) Full Text: DOI
Tang, Pengfei Heavy Bernoulli-percolation clusters are indistinguishable. (English) Zbl 07212178 Ann. Probab. 47, No. 6, 4077-4115 (2019). MSC: 60K35 82B43 60B99 60C05 PDF BibTeX XML Cite \textit{P. Tang}, Ann. Probab. 47, No. 6, 4077--4115 (2019; Zbl 07212178) Full Text: DOI Euclid
Hutchcroft, Tom; Peres, Yuval The component graph of the uniform spanning forest: transitions in dimensions \(9,10,11,\ldots\). (English) Zbl 07109859 Probab. Theory Relat. Fields 175, No. 1-2, 141-208 (2019). MSC: 60D05 60K35 PDF BibTeX XML Cite \textit{T. Hutchcroft} and \textit{Y. Peres}, Probab. Theory Relat. Fields 175, No. 1--2, 141--208 (2019; Zbl 07109859) Full Text: DOI arXiv
Potyagailo, Leonid; Yang, Wen-yuan Hausdorff dimension of boundaries of relatively hyperbolic groups. (English) Zbl 07094908 Geom. Topol. 23, No. 4, 1779-1840 (2019). MSC: 20F65 20F67 PDF BibTeX XML Cite \textit{L. Potyagailo} and \textit{W.-y. Yang}, Geom. Topol. 23, No. 4, 1779--1840 (2019; Zbl 07094908) Full Text: DOI
Okamura, Kazuki Unions of random walk and percolation on infinite graphs. (English) Zbl 1427.60078 Braz. J. Probab. Stat. 33, No. 3, 586-637 (2019). MSC: 60G50 60K35 05C81 PDF BibTeX XML Cite \textit{K. Okamura}, Braz. J. Probab. Stat. 33, No. 3, 586--637 (2019; Zbl 1427.60078) Full Text: DOI Euclid arXiv
Malacarne, Sara; Neshveyev, Sergey Martin boundaries of the duals of free unitary quantum groups. (English) Zbl 07067392 Compos. Math. 155, No. 6, 1171-1193 (2019). MSC: 20G42 46L65 60J50 PDF BibTeX XML Cite \textit{S. Malacarne} and \textit{S. Neshveyev}, Compos. Math. 155, No. 6, 1171--1193 (2019; Zbl 07067392) Full Text: DOI arXiv
Ceccherini-Silberstein, Tullio; Coornaert, Michel; Li, Hanfeng Homoclinically expansive actions and a garden of Eden theorem for harmonic models. (English) Zbl 1423.37013 Commun. Math. Phys. 368, No. 3, 1175-1200 (2019). MSC: 37B05 37B15 16S34 22D40 13A50 PDF BibTeX XML Cite \textit{T. Ceccherini-Silberstein} et al., Commun. Math. Phys. 368, No. 3, 1175--1200 (2019; Zbl 1423.37013) Full Text: DOI
Bezuglyi, Sergey; Jorgensen, Palle E. T. Monopoles, dipoles, and harmonic functions on Bratteli diagrams. (English) Zbl 1408.37021 Acta Appl. Math. 159, No. 1, 169-224 (2019). MSC: 37B10 47L50 60J45 PDF BibTeX XML Cite \textit{S. Bezuglyi} and \textit{P. E. T. Jorgensen}, Acta Appl. Math. 159, No. 1, 169--224 (2019; Zbl 1408.37021) Full Text: DOI arXiv
Bendikov, Alexander; Cygan, Wojciech; Woess, Wolfgang Oscillating heat kernels on ultrametric spaces. (English) Zbl 1409.60114 J. Spectr. Theory 9, No. 1, 195-226 (2019). MSC: 60J35 12H25 20K25 47S10 60J25 PDF BibTeX XML Cite \textit{A. Bendikov} et al., J. Spectr. Theory 9, No. 1, 195--226 (2019; Zbl 1409.60114) Full Text: DOI arXiv
Shwartz, Ofer Thermodynamic formalism for transient potential functions. (English) Zbl 1420.37017 Commun. Math. Phys. 366, No. 2, 737-779 (2019). MSC: 37D35 37C40 37A60 37A30 PDF BibTeX XML Cite \textit{O. Shwartz}, Commun. Math. Phys. 366, No. 2, 737--779 (2019; Zbl 1420.37017) Full Text: DOI arXiv
von Below, Joachim; Lubary, José A. Harmonic functions on metric graphs under the anti-Kirchhoff law. (English) Zbl 1407.35198 Result. Math. 74, No. 1, Paper No. 36, 28 p. (2019). MSC: 35R02 35J25 34B45 05C50 05C10 05C63 31C05 PDF BibTeX XML Cite \textit{J. von Below} and \textit{J. A. Lubary}, Result. Math. 74, No. 1, Paper No. 36, 28 p. (2019; Zbl 1407.35198) Full Text: DOI
Bücking, Ulrike On rigidity and convergence of circle patterns. (English) Zbl 1407.52030 Discrete Comput. Geom. 61, No. 2, 380-420 (2019). MSC: 52C26 52C25 30E10 PDF BibTeX XML Cite \textit{U. Bücking}, Discrete Comput. Geom. 61, No. 2, 380--420 (2019; Zbl 1407.52030) Full Text: DOI
Beneš, Christian A local limit theorem and loss of rotational symmetry of planar symmetric simple random walk. (English) Zbl 1439.60026 Trans. Am. Math. Soc. 371, No. 4, 2553-2573 (2019). MSC: 60F05 60G50 60J55 PDF BibTeX XML Cite \textit{C. Beneš}, Trans. Am. Math. Soc. 371, No. 4, 2553--2573 (2019; Zbl 1439.60026) Full Text: DOI
Kostenko, Aleksey; Nicolussi, Noema Spectral estimates for infinite quantum graphs. (English) Zbl 1404.81111 Calc. Var. Partial Differ. Equ. 58, No. 1, Paper No. 15, 40 p. (2019). MSC: 81Q35 34B45 35P15 PDF BibTeX XML Cite \textit{A. Kostenko} and \textit{N. Nicolussi}, Calc. Var. Partial Differ. Equ. 58, No. 1, Paper No. 15, 40 p. (2019; Zbl 1404.81111) Full Text: DOI
Jorgensen, Palle E. T.; Pearse, Erin P. J. Continuum versus discrete networks, graph Laplacians, and reproducing kernel Hilbert spaces. (English) Zbl 1397.05176 J. Math. Anal. Appl. 469, No. 2, 765-807 (2019). MSC: 05C82 60J10 PDF BibTeX XML Cite \textit{P. E. T. Jorgensen} and \textit{E. P. J. Pearse}, J. Math. Anal. Appl. 469, No. 2, 765--807 (2019; Zbl 1397.05176) Full Text: DOI
Foley, R. D.; McDonald, D. R. Yaglom limits can depend on the starting state. (English) Zbl 1431.60075 Adv. Appl. Probab. 50, No. 1, 1-34 (2018). MSC: 60J10 60J50 PDF BibTeX XML Cite \textit{R. D. Foley} and \textit{D. R. McDonald}, Adv. Appl. Probab. 50, No. 1, 1--34 (2018; Zbl 1431.60075) Full Text: DOI
Baccelli, Francois; Haji-Mirsadeghi, Mir-Omid; Khezeli, Ali Eternal family trees and dynamics on unimodular random graphs. (English) Zbl 1423.60020 Sobieczky, Florian (ed.), Unimodularity in randomly generated graphs. AMS special session on unimodularity in randomly generated graphs, Denver, CO, USA, October 8–9, 2016. Proceedings. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 719, 85-127 (2018). MSC: 60C05 60K35 05C80 PDF BibTeX XML Cite \textit{F. Baccelli} et al., Contemp. Math. 719, 85--127 (2018; Zbl 1423.60020) Full Text: DOI
Bartholdi, Laurent Amenability of groups and \(G\)-sets. (English) Zbl 07006275 Berthé, Valérie (ed.) et al., Sequences, groups, and number theory. Cham: Birkhäuser (ISBN 978-3-319-69151-0/hbk; 978-3-319-69152-7/ebook). Trends in Mathematics, 433-544 (2018). MSC: 20F65 PDF BibTeX XML Cite \textit{L. Bartholdi}, in: Sequences, groups, and number theory. Cham: Birkhäuser. 433--544 (2018; Zbl 07006275) Full Text: DOI arXiv
Candellero, Elisabetta; Teixeira, Augusto Percolation and isoperimetry on roughly transitive graphs. (English. French summary) Zbl 1417.60078 Ann. Inst. Henri Poincaré, Probab. Stat. 54, No. 4, 1819-1847 (2018). MSC: 60K35 82B43 05C10 PDF BibTeX XML Cite \textit{E. Candellero} and \textit{A. Teixeira}, Ann. Inst. Henri Poincaré, Probab. Stat. 54, No. 4, 1819--1847 (2018; Zbl 1417.60078) Full Text: DOI Euclid 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 PDF BibTeX XML Cite \textit{A. M. Vershik} and \textit{A. V. Malyutin}, Eur. J. Math. 4, No. 4, 1476--1490 (2018; Zbl 1403.28014) Full Text: DOI
Grigor’yan, Alexander; Yang, Meng Determination of the walk dimension of the Sierpiński gasket without using diffusion. (English) Zbl 1416.28011 J. Fractal Geom. 5, No. 4, 419-460 (2018). Reviewer: Daniel Beltiţă (Bucureşti) MSC: 28A80 60J10 60J50 PDF BibTeX XML Cite \textit{A. Grigor'yan} and \textit{M. Yang}, J. Fractal Geom. 5, No. 4, 419--460 (2018; Zbl 1416.28011) Full Text: DOI
Nitzschner, Maximilian Disconnection by level sets of the discrete Gaussian free field and entropic repulsion. (English) Zbl 1402.60033 Electron. J. Probab. 23, Paper No. 105, 21 p. (2018). MSC: 60F10 60G15 60K35 82B43 PDF BibTeX XML Cite \textit{M. Nitzschner}, Electron. J. Probab. 23, Paper No. 105, 21 p. (2018; Zbl 1402.60033) Full Text: DOI Euclid arXiv
Exner, Pavel; Kostenko, Aleksey; Malamud, Mark; Neidhardt, Hagen Spectral theory of infinite quantum graphs. (English) Zbl 06968477 Ann. Henri Poincaré 19, No. 11, 3457-3510 (2018). MSC: 47B 81Q 47N 60H 82B PDF BibTeX XML Cite \textit{P. Exner} et al., Ann. Henri Poincaré 19, No. 11, 3457--3510 (2018; Zbl 06968477) Full Text: DOI
Coulon, Rémi; Dal’Bo, Françoise; Sambusetti, Andrea Growth gap in hyperbolic groups and amenability. (English) Zbl 1408.43002 Geom. Funct. Anal. 28, No. 5, 1260-1320 (2018). Reviewer: Amir Sahami (Tehran) MSC: 43A07 20F65 60B15 PDF BibTeX XML Cite \textit{R. Coulon} et al., Geom. Funct. Anal. 28, No. 5, 1260--1320 (2018; Zbl 1408.43002) Full Text: DOI
Ge, Huabin; Hua, Bobo; Jiang, Wenfeng A note on Liouville type equations on graphs. (English) Zbl 1401.35299 Proc. Am. Math. Soc. 146, No. 11, 4837-4842 (2018). MSC: 35R02 58J05 PDF BibTeX XML Cite \textit{H. Ge} et al., Proc. Am. Math. Soc. 146, No. 11, 4837--4842 (2018; Zbl 1401.35299) Full Text: DOI arXiv
Maher, Joseph; Tiozzo, Giulio Random walks on weakly hyperbolic groups. (English) Zbl 1434.60015 J. Reine Angew. Math. 742, 187-239 (2018). MSC: 60B15 20F65 60G50 PDF BibTeX XML Cite \textit{J. Maher} and \textit{G. Tiozzo}, J. Reine Angew. Math. 742, 187--239 (2018; Zbl 1434.60015) Full Text: DOI arXiv
Sisto, Alessandro Contracting elements and random walks. (English) Zbl 06930685 J. Reine Angew. Math. 742, 79-114 (2018). MSC: 20 60 PDF BibTeX XML Cite \textit{A. Sisto}, J. Reine Angew. Math. 742, 79--114 (2018; Zbl 06930685) 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 PDF BibTeX XML Cite \textit{K. Juschenko} et al., Ergodic Theory Dyn. Syst. 38, No. 1, 195--219 (2018; Zbl 1387.37030) Full Text: DOI
Grigor’yan, Alexander; Ishiwata, Satoshi; Saloff-Coste, Laurent Heat kernel estimates on connected sums of parabolic manifolds. (English. French summary) Zbl 1388.35078 J. Math. Pures Appl. (9) 113, 155-194 (2018). Reviewer: Dian K. Palagachev (Bari) MSC: 35K08 58J65 58J35 PDF BibTeX XML Cite \textit{A. Grigor'yan} et al., J. Math. Pures Appl. (9) 113, 155--194 (2018; Zbl 1388.35078) Full Text: DOI arXiv
Kumagai, Takashi; Nakamura, Chikara Lamplighter random walks on fractals. (English) Zbl 1395.60080 J. Theor. Probab. 31, No. 1, 68-92 (2018). Reviewer: Sophia L. Kalpazidou (Thessaloniki) MSC: 60J10 60J35 60J55 PDF BibTeX XML Cite \textit{T. Kumagai} and \textit{C. Nakamura}, J. Theor. Probab. 31, No. 1, 68--92 (2018; Zbl 1395.60080) Full Text: DOI arXiv
Gouëzel, Sébastien; Mathéus, Frédéric; Maucourant, François Entropy and drift in word hyperbolic groups. (English) Zbl 06845441 Invent. Math. 211, No. 3, 1201-1255 (2018). MSC: 37B10 22E40 22D40 60B15 60J05 05C81 PDF BibTeX XML Cite \textit{S. Gouëzel} et al., Invent. Math. 211, No. 3, 1201--1255 (2018; Zbl 06845441) Full Text: DOI
Deuschel, Jean-Dominique; Nguyen, Tuan Anh; Slowik, Martin Quenched invariance principles for the random conductance model on a random graph with degenerate ergodic weights. (English) Zbl 1405.60152 Probab. Theory Relat. Fields 170, No. 1-2, 363-386 (2018). MSC: 60K37 60F17 82C41 82B43 PDF BibTeX XML Cite \textit{J.-D. Deuschel} et al., Probab. Theory Relat. Fields 170, No. 1--2, 363--386 (2018; Zbl 1405.60152) Full Text: DOI
Kha, Minh Green’s function asymptotics of periodic elliptic operators on abelian coverings of compact manifolds. (English) Zbl 1382.35172 J. Funct. Anal. 274, No. 2, 341-387 (2018). Reviewer: James Bernard Kennedy (Lisboa) MSC: 35P05 58J37 35J08 35J10 35J15 58J05 58J50 PDF BibTeX XML Cite \textit{M. Kha}, J. Funct. Anal. 274, No. 2, 341--387 (2018; Zbl 1382.35172) Full Text: DOI arXiv
Chatterji, Indira Introduction to the rapid decay property. (English) Zbl 1404.20032 Brumley, Farrell (ed.) et al., Around Langlands correspondences. International conference, Université Paris Sud, Orsay, France, June 17–20, 2015. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3573-8/pbk; 978-1-4704-4117-3/ebook). Contemporary Mathematics 691, 53-72 (2017). MSC: 20F65 22D40 22D25 PDF BibTeX XML Cite \textit{I. Chatterji}, Contemp. Math. 691, 53--72 (2017; Zbl 1404.20032) Full Text: DOI arXiv
Haeseler, Sebastian; Keller, Matthias; Lenz, Daniel; Masamune, Jun; Schmidt, Marcel Global properties of Dirichlet forms in terms of Green’s formula. (English) Zbl 1377.31005 Calc. Var. Partial Differ. Equ. 56, No. 5, Paper No. 124, 43 p. (2017). MSC: 31C25 PDF BibTeX XML Cite \textit{S. Haeseler} et al., Calc. Var. Partial Differ. Equ. 56, No. 5, Paper No. 124, 43 p. (2017; Zbl 1377.31005) Full Text: DOI arXiv
Kong, Shi-Lei; Lau, Ka-Sing; Wong, Ting-Kam Leonard Random walks and induced Dirichlet forms on self-similar sets. (English) Zbl 1379.28009 Adv. Math. 320, 1099-1134 (2017). Reviewer: René L. Schilling (Dresden) MSC: 28A80 60J10 60J50 PDF BibTeX XML Cite \textit{S.-L. Kong} et al., Adv. Math. 320, 1099--1134 (2017; Zbl 1379.28009) Full Text: DOI
Shur, M. G. Exponentials and \(R\)-recurrent random walks on groups. (English. Russian original) Zbl 1383.60009 Theory Probab. Appl. 61, No. 3, 505-513 (2017); translation from Teor. Veroyatn. Primen. 61, No. 3, 580-588 (2016). MSC: 60B15 60G50 PDF BibTeX XML Cite \textit{M. G. Shur}, Theory Probab. Appl. 61, No. 3, 505--513 (2017; Zbl 1383.60009); translation from Teor. Veroyatn. Primen. 61, No. 3, 580--588 (2016) Full Text: DOI arXiv
Lehnert, Ralf On the critical exponent of infinitely generated Veech groups. (English) Zbl 1380.30033 Math. Ann. 368, No. 3-4, 1017-1058 (2017). Reviewer: Alastair Fletcher (Dekalb) MSC: 30F30 05C63 20F65 PDF BibTeX XML Cite \textit{R. Lehnert}, Math. Ann. 368, No. 3--4, 1017--1058 (2017; Zbl 1380.30033) Full Text: DOI arXiv
Uchiyama, Kôhei One dimensional random walks killed on a finite set. (English) Zbl 1372.60067 Stochastic Processes Appl. 127, No. 9, 2864-2899 (2017). MSC: 60G50 60J45 PDF BibTeX XML Cite \textit{K. Uchiyama}, Stochastic Processes Appl. 127, No. 9, 2864--2899 (2017; Zbl 1372.60067) Full Text: DOI
Sisto, Alessandro Tracking rates of random walks. (English) Zbl 1407.60064 Isr. J. Math. 220, No. 1, 1-28 (2017). MSC: 60G50 60B15 20F67 PDF BibTeX XML Cite \textit{A. Sisto}, Isr. J. Math. 220, No. 1, 1--28 (2017; Zbl 1407.60064) Full Text: DOI arXiv
Kasue, Atsushi Convergence of Dirichlet forms induced on boundaries of transient networks. (English) Zbl 1375.31012 Potential Anal. 47, No. 2, 189-233 (2017). MSC: 31C20 05C63 PDF BibTeX XML Cite \textit{A. Kasue}, Potential Anal. 47, No. 2, 189--233 (2017; Zbl 1375.31012) Full Text: DOI
Abbes, Samy Synchronization of Bernoulli sequences on shared letters. (English) Zbl 1371.68183 Inf. Comput. 255, Part 1, 1-26 (2017). MSC: 68Q85 68Q87 PDF BibTeX XML Cite \textit{S. Abbes}, Inf. Comput. 255, Part 1, 1--26 (2017; Zbl 1371.68183) Full Text: DOI
Okamura, Kazuki Enlargement of subgraphs of infinite graphs by Bernoulli percolation. (English) Zbl 1367.05147 Indag. Math., New Ser. 28, No. 4, 832-853 (2017). MSC: 05C63 60K35 05C60 PDF BibTeX XML Cite \textit{K. Okamura}, Indag. Math., New Ser. 28, No. 4, 832--853 (2017; Zbl 1367.05147) Full Text: DOI
Ganguly, Shirshendu; Lee, James R.; Peres, Yuval Diffusive estimates for random walks on stationary random graphs of polynomial growth. (English) Zbl 1371.60074 Geom. Funct. Anal. 27, No. 3, 596-630 (2017). Reviewer: Guy Jumarie (Montréal) MSC: 60G50 05C81 05C80 PDF BibTeX XML Cite \textit{S. Ganguly} et al., Geom. Funct. Anal. 27, No. 3, 596--630 (2017; Zbl 1371.60074) Full Text: DOI arXiv
Bartholdi, Laurent; Erschler, Anna Poisson-Furstenberg boundary and growth of groups. (English) Zbl 1417.60004 Probab. Theory Relat. Fields 168, No. 1-2, 347-372 (2017). MSC: 60B15 43A07 20F65 20F69 PDF BibTeX XML Cite \textit{L. Bartholdi} and \textit{A. Erschler}, Probab. Theory Relat. Fields 168, No. 1--2, 347--372 (2017; Zbl 1417.60004) Full Text: DOI arXiv
Kosygina, Elena; Zerner, Martin P. W. A zero-one law for recurrence and transience of frog processes. (English) Zbl 1372.60047 Probab. Theory Relat. Fields 168, No. 1-2, 317-346 (2017). Reviewer: N. G. Gamkrelidze (Moskva) MSC: 60F20 60K35 60J10 60G50 60K37 PDF BibTeX XML Cite \textit{E. Kosygina} and \textit{M. P. W. Zerner}, Probab. Theory Relat. Fields 168, No. 1--2, 317--346 (2017; Zbl 1372.60047) Full Text: DOI arXiv
Choi, Hye Soo; Evans, Steven N. Doob-Martin compactification of a Markov chain for growing random words sequentially. (English) Zbl 1366.60094 Stochastic Processes Appl. 127, No. 7, 2428-2445 (2017). MSC: 60J10 05A05 68R15 PDF BibTeX XML Cite \textit{H. S. Choi} and \textit{S. N. Evans}, Stochastic Processes Appl. 127, No. 7, 2428--2445 (2017; Zbl 1366.60094) Full Text: DOI arXiv
Diekert, Volker; Myasnikov, Alexei G.; Weiß, Armin Amenability of Schreier graphs and strongly generic algorithms for the conjugacy problem. (English) Zbl 1371.20037 J. Symb. Comput. 83, 147-165 (2017). MSC: 20F10 20E06 05C25 20F65 05C81 68Q25 PDF BibTeX XML Cite \textit{V. Diekert} et al., J. Symb. Comput. 83, 147--165 (2017; Zbl 1371.20037) Full Text: DOI
Alkauskas, Giedrius The modular group and words in its two generators. (English) Zbl 1362.05004 Lith. Math. J. 57, No. 1, 1-12 (2017). MSC: 05A05 05A15 20F05 14H05 PDF BibTeX XML Cite \textit{G. Alkauskas}, Lith. Math. J. 57, No. 1, 1--12 (2017; Zbl 1362.05004) Full Text: DOI arXiv
Lau, Ka-Sing; Wang, Xiang-Yang On hyperbolic graphs induced by iterated function systems. (English) Zbl 1366.28008 Adv. Math. 313, 357-378 (2017). Reviewer: Peter Massopust (München) MSC: 28A80 37E25 PDF BibTeX XML Cite \textit{K.-S. Lau} and \textit{X.-Y. Wang}, Adv. Math. 313, 357--378 (2017; Zbl 1366.28008) Full Text: DOI arXiv
Tanaka, Ryokichi Hausdorff spectrum of harmonic measure. (English) Zbl 1376.37015 Ergodic Theory Dyn. Syst. 37, No. 1, 277-307 (2017). Reviewer: Thomas B. Ward (Leeds) MSC: 37A45 37A50 37A35 PDF BibTeX XML Cite \textit{R. Tanaka}, Ergodic Theory Dyn. Syst. 37, No. 1, 277--307 (2017; Zbl 1376.37015) Full Text: DOI arXiv
Wojciechowski, Radosław K. The Feller property for graphs. (English) Zbl 1358.05183 Trans. Am. Math. Soc. 369, No. 6, 4415-4431 (2017). MSC: 05C50 05C10 39A12 47B39 60J27 PDF BibTeX XML Cite \textit{R. K. Wojciechowski}, Trans. Am. Math. Soc. 369, No. 6, 4415--4431 (2017; Zbl 1358.05183) Full Text: DOI
Kato, Tsuyoshi; Tsujimoto, Satoshi; Zuk, Andrzej Spectral analysis of transition operators, automata groups and translation in BBS. (English) Zbl 1362.37033 Commun. Math. Phys. 350, No. 1, 205-229 (2017). Reviewer: Laurent Bartholdi (Göttingen) MSC: 37B15 37K10 14T05 20E08 PDF BibTeX XML Cite \textit{T. Kato} et al., Commun. Math. Phys. 350, No. 1, 205--229 (2017; Zbl 1362.37033) Full Text: DOI arXiv
Speicher, Roland Free probability theory. And its avatars in representation theory, random matrices, and operator algebras; also featuring: non-commutative distributions. (English) Zbl 1408.46062 Jahresber. Dtsch. Math.-Ver. 119, No. 1, 3-30 (2017). Reviewer: Dirk Werner (Berlin) MSC: 46L54 46-02 PDF BibTeX XML Cite \textit{R. Speicher}, Jahresber. Dtsch. Math.-Ver. 119, No. 1, 3--30 (2017; Zbl 1408.46062) Full Text: DOI
Bartholdi, Laurent; Erschler, Anna Distortion of imbeddings of groups of intermediate growth into metric spaces. (English) Zbl 1431.20027 Proc. Am. Math. Soc. 145, No. 5, 1943-1952 (2017). MSC: 20F65 51F99 PDF BibTeX XML Cite \textit{L. Bartholdi} and \textit{A. Erschler}, Proc. Am. Math. Soc. 145, No. 5, 1943--1952 (2017; Zbl 1431.20027) Full Text: DOI
Abbes, S.; Gouëzel, S.; Jugé, V.; Mairesse, J. Uniform measures on braid monoids and dual braid monoids. (English) Zbl 1401.20039 J. Algebra 473, 627-666 (2017). MSC: 20F36 05A16 60B15 60C05 20P05 PDF BibTeX XML Cite \textit{S. Abbes} et al., J. Algebra 473, 627--666 (2017; Zbl 1401.20039) Full Text: DOI
Ishiwata, Satoshi; Kawabi, Hiroshi; Kotani, Motoko Long time asymptotics of non-symmetric random walks on crystal lattices. (English) Zbl 1360.60055 J. Funct. Anal. 272, No. 4, 1553-1624 (2017). Reviewer: Ivan Podvigin (Novosibirsk) MSC: 60F05 60G50 60J10 60B10 PDF BibTeX XML Cite \textit{S. Ishiwata} et al., J. Funct. Anal. 272, No. 4, 1553--1624 (2017; Zbl 1360.60055) Full Text: DOI arXiv
Gilch, Lorenz A.; Müller, Sebastian Counting self-avoiding walks on free products of graphs. (English) Zbl 1351.05193 Discrete Math. 340, No. 3, 325-332 (2017). MSC: 05C76 PDF BibTeX XML Cite \textit{L. A. Gilch} and \textit{S. Müller}, Discrete Math. 340, No. 3, 325--332 (2017; Zbl 1351.05193) Full Text: DOI arXiv
Yang, Yunyun; Xie, Gang Maximum matchings of a digraph based on the largest geometric multiplicity. (English) Zbl 1400.05190 Math. Probl. Eng. 2016, Article ID 4702387, 7 p. (2016). MSC: 05C70 05C50 PDF BibTeX XML Cite \textit{Y. Yang} and \textit{G. Xie}, Math. Probl. Eng. 2016, Article ID 4702387, 7 p. (2016; Zbl 1400.05190) Full Text: DOI
Thom, Andreas The expected degree of minimal spanning forests. (English) Zbl 1399.05157 Combinatorica 35, No. 6, 591-600 (2016). MSC: 05C50 60B99 05C07 05C80 37A20 PDF BibTeX XML Cite \textit{A. Thom}, Combinatorica 35, No. 6, 591--600 (2016; Zbl 1399.05157) Full Text: DOI arXiv
Hamann, Matthias Spanning trees in hyperbolic graphs. (English) Zbl 1399.05033 Combinatorica 36, No. 3, 313-332 (2016). MSC: 05C05 20F67 05C63 PDF BibTeX XML Cite \textit{M. Hamann}, Combinatorica 36, No. 3, 313--332 (2016; Zbl 1399.05033) Full Text: DOI arXiv
Gournay, Antoine The Liouville property and Hilbertian compression. (Propriété de Liouville et compression Hilbertienne.) (English. French summary) Zbl 1397.20062 Ann. Inst. Fourier 66, No. 6, 2435-2454 (2016). MSC: 20F69 60J50 60G50 37A35 43A65 PDF BibTeX XML Cite \textit{A. Gournay}, Ann. Inst. Fourier 66, No. 6, 2435--2454 (2016; Zbl 1397.20062) Full Text: DOI arXiv
Kaimanovich, V. A. Invariance, quasi-invariance, and unimodularity for random graphs. (English. Russian original) Zbl 1379.37096 J. Math. Sci., New York 219, No. 5, 747-764 (2016); translation from Zap. Nauchn. Semin. POMI 441, 210-238 (2015). MSC: 37H05 60C05 05C80 PDF BibTeX XML Cite \textit{V. A. Kaimanovich}, J. Math. Sci., New York 219, No. 5, 747--764 (2016; Zbl 1379.37096); translation from Zap. Nauchn. Semin. POMI 441, 210--238 (2015) Full Text: DOI
Jorgensen, Palle E. T.; Pearse, Erin P. J. Symmetric pairs and self-adjoint extensions of operators, with applications to energy networks. (English) Zbl 1353.05080 Complex Anal. Oper. Theory 10, No. 7, 1535-1550 (2016). MSC: 05C50 05C63 05C82 46B22 46E22 47B15 47B25 47B32 47B39 60J10 PDF BibTeX XML Cite \textit{P. E. T. Jorgensen} and \textit{E. P. J. Pearse}, Complex Anal. Oper. Theory 10, No. 7, 1535--1550 (2016; Zbl 1353.05080) Full Text: DOI arXiv
Angel, Omer; Hutchcroft, Tom; Nachmias, Asaf; Ray, Gourab Unimodular hyperbolic triangulations: circle packing and random walk. (English) Zbl 1360.52012 Invent. Math. 206, No. 1, 229-268 (2016). Reviewer: Anton Shutov (Vladimir) MSC: 52C15 05C80 05C81 51M10 PDF BibTeX XML Cite \textit{O. Angel} et al., Invent. Math. 206, No. 1, 229--268 (2016; Zbl 1360.52012) Full Text: DOI arXiv
Diekert, Volker; Myasnikov, Alexei G.; Weiß, Armin Conjugacy in Baumslag’s group, generic case complexity, and division in power circuits. (English) Zbl 1357.68081 Algorithmica 76, No. 4, 961-988 (2016). MSC: 68Q25 20F10 PDF BibTeX XML Cite \textit{V. Diekert} et al., Algorithmica 76, No. 4, 961--988 (2016; Zbl 1357.68081) Full Text: DOI
Juschenko, Kate; Nekrashevych, Volodymyr; de la Salle, Mikael Extensions of amenable groups by recurrent groupoids. (English) Zbl 1397.20043 Invent. Math. 206, No. 3, 837-867 (2016). MSC: 20F38 20F10 20E08 20L05 22F50 37C85 43A07 PDF BibTeX XML Cite \textit{K. Juschenko} et al., Invent. Math. 206, No. 3, 837--867 (2016; Zbl 1397.20043) Full Text: DOI
Hua, Bobo; Lin, Yong Curvature notions on graphs. (English) Zbl 1352.31004 Front. Math. China 11, No. 5, 1275-1290 (2016). MSC: 31C20 31-02 PDF BibTeX XML Cite \textit{B. Hua} and \textit{Y. Lin}, Front. Math. China 11, No. 5, 1275--1290 (2016; Zbl 1352.31004) Full Text: DOI
Oh, Byung-Geun; Seo, Jeehyeon Strong isoperimetric inequalities and combinatorial curvatures on multiply connected planar graphs. (English) Zbl 1347.05044 Discrete Comput. Geom. 56, No. 3, 558-591 (2016). MSC: 05C10 05C40 05B45 52C20 PDF BibTeX XML Cite \textit{B.-G. Oh} and \textit{J. Seo}, Discrete Comput. Geom. 56, No. 3, 558--591 (2016; Zbl 1347.05044) Full Text: DOI
Gournay, A.; Jolissaint, P.-N. Conditionally negative type functions on groups acting on regular trees. (English) Zbl 1387.20019 J. Lond. Math. Soc., II. Ser. 93, No. 3, 619-642 (2016). MSC: 20E08 20J06 22D10 43A65 PDF BibTeX XML Cite \textit{A. Gournay} and \textit{P. N. Jolissaint}, J. Lond. Math. Soc., II. Ser. 93, No. 3, 619--642 (2016; Zbl 1387.20019) Full Text: DOI
Teixeira, Augusto Percolation and local isoperimetric inequalities. (English) Zbl 1352.60131 Probab. Theory Relat. Fields 165, No. 3-4, 963-984 (2016). Reviewer: Boris Granovsky (Haifa) MSC: 60K35 82B43 PDF BibTeX XML Cite \textit{A. Teixeira}, Probab. Theory Relat. Fields 165, No. 3--4, 963--984 (2016; Zbl 1352.60131) Full Text: DOI arXiv
Lubotzky, Alexander; Maher, Joseph; Wu, Conan Random methods in 3-manifold theory. (English) Zbl 1354.57026 Proc. Steklov Inst. Math. 292, 118-142 (2016) and Tr. Mat. Inst. Steklova 292, 124-148 (2016). Reviewer: Viktor Ohanyan (Erevan) MSC: 57M50 57M25 57N10 37E30 60B05 PDF BibTeX XML Cite \textit{A. Lubotzky} et al., Proc. Steklov Inst. Math. 292, 118--142 (2016; Zbl 1354.57026) Full Text: DOI arXiv
Gournay, Antoine Harmonic functions with finite \(p\)-energy on lamplighter graphs are constant. (Sur les graphes d’allumeur de réverbères, les fonctions harmoniques de \(p\)-énergie finie sont constantes.) (English. French summary) Zbl 1345.31018 C. R., Math., Acad. Sci. Paris 354, No. 8, 762-765 (2016). MSC: 31C05 05C63 05C25 PDF BibTeX XML Cite \textit{A. Gournay}, C. R., Math., Acad. Sci. Paris 354, No. 8, 762--765 (2016; Zbl 1345.31018) Full Text: DOI
Angel, Omer; Barlow, Martin T.; Gurel-Gurevich, Ori; Nachmias, Asaf Boundaries of planar graphs, via circle packings. (English) Zbl 1339.05061 Ann. Probab. 44, No. 3, 1956-1984 (2016). MSC: 05C10 05C81 05C70 05C60 PDF BibTeX XML Cite \textit{O. Angel} et al., Ann. Probab. 44, No. 3, 1956--1984 (2016; Zbl 1339.05061) Full Text: DOI Euclid arXiv
Abért, Miklós; Glasner, Yair; Virág, Bálint The measurable Kesten theorem. (English) Zbl 1339.05365 Ann. Probab. 44, No. 3, 1601-1646 (2016). MSC: 05C80 05C05 05C38 05C50 60G50 82C41 PDF BibTeX XML Cite \textit{M. Abért} et al., Ann. Probab. 44, No. 3, 1601--1646 (2016; Zbl 1339.05365) Full Text: DOI Euclid
Kuchment, Peter An overview of periodic elliptic operators. (English) Zbl 1346.35170 Bull. Am. Math. Soc., New Ser. 53, No. 3, 343-414 (2016). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35Q40 35J10 35J15 47A53 47F05 58J05 PDF BibTeX XML Cite \textit{P. Kuchment}, Bull. Am. Math. Soc., New Ser. 53, No. 3, 343--414 (2016; Zbl 1346.35170) Full Text: DOI arXiv
Lenz, Daniel; Pankrashkin, Konstantin New relations between discrete and continuous transition operators on (metric) graphs. (English) Zbl 1338.47004 Integral Equations Oper. Theory 84, No. 2, 151-181 (2016). MSC: 47A10 05C50 58C40 35L05 PDF BibTeX XML Cite \textit{D. Lenz} and \textit{K. Pankrashkin}, Integral Equations Oper. Theory 84, No. 2, 151--181 (2016; Zbl 1338.47004) Full Text: DOI arXiv