Benjamini, Itai; Haslegrave, John Degrees in link graphs of regular graphs. (English) Zbl 07525890 Electron. J. Comb. 29, No. 2, Research Paper P2.23, 6 p. (2022). MSC: 05C07 05C35 PDF BibTeX XML Cite \textit{I. Benjamini} and \textit{J. Haslegrave}, Electron. J. Comb. 29, No. 2, Research Paper P2.23, 6 p. (2022; Zbl 07525890) Full Text: DOI OpenURL
He, Xin Local convergence of critical random trees and continuous-state branching processes. (English) Zbl 07517658 J. Theor. Probab. 35, No. 2, 685-713 (2022). MSC: 60C05 60J80 60F17 60B10 05C05 05C80 PDF BibTeX XML Cite \textit{X. He}, J. Theor. Probab. 35, No. 2, 685--713 (2022; Zbl 07517658) Full Text: DOI OpenURL
McKenzie, Theo The necessity of conditions for graph quantum ergodicity and Cartesian products with an infinite graph. (English) Zbl 07514683 C. R., Math., Acad. Sci. Paris 360, 399-408 (2022). MSC: 58J51 05C76 05C63 81Q50 PDF BibTeX XML Cite \textit{T. McKenzie}, C. R., Math., Acad. Sci. Paris 360, 399--408 (2022; Zbl 07514683) Full Text: DOI OpenURL
Kionke, Steffen; Schrödl-Baumann, Michael Equivariant Benjamini-Schramm convergence of simplicial complexes and \(\ell^2\)-multiplicities. (English) Zbl 07513867 J. Topol. Anal. 14, No. 1, 33-53 (2022). MSC: 57M10 55N35 PDF BibTeX XML Cite \textit{S. Kionke} and \textit{M. Schrödl-Baumann}, J. Topol. Anal. 14, No. 1, 33--53 (2022; Zbl 07513867) Full Text: DOI OpenURL
Nachmias, Asaf; Peres, Yuval The local limit of uniform spanning trees. (English) Zbl 07511162 Probab. Theory Relat. Fields 182, No. 3-4, 1133-1161 (2022). MSC: 05C81 60J80 05C05 60C05 PDF BibTeX XML Cite \textit{A. Nachmias} and \textit{Y. Peres}, Probab. Theory Relat. Fields 182, No. 3--4, 1133--1161 (2022; Zbl 07511162) Full Text: DOI OpenURL
Martineau, Sébastien On coprime percolation, the visibility graphon, and the local limit of the GCD profile. (English) Zbl 07481559 Electron. Commun. Probab. 27, 1-14 (2022). MSC: 60B10 60K35 11A05 20E18 PDF BibTeX XML Cite \textit{S. Martineau}, Electron. Commun. Probab. 27, 1--14 (2022; Zbl 07481559) Full Text: DOI arXiv OpenURL
Backhausz, Ágnes; Szegedy, Balázs Action convergence of operators and graphs. (English) Zbl 1482.05187 Can. J. Math. 74, No. 1, 72-121 (2022). MSC: 05C50 15B52 PDF BibTeX XML Cite \textit{Á. Backhausz} and \textit{B. Szegedy}, Can. J. Math. 74, No. 1, 72--121 (2022; Zbl 1482.05187) Full Text: DOI arXiv OpenURL
Ganguly, Shirshendu; Lee, James R. Chemical subdiffusivity of critical 2D percolation. (English) Zbl 07466657 Commun. Math. Phys. 389, No. 2, 695-714 (2022). MSC: 60Kxx 82Bxx 05Cxx PDF BibTeX XML Cite \textit{S. Ganguly} and \textit{J. R. Lee}, Commun. Math. Phys. 389, No. 2, 695--714 (2022; Zbl 07466657) Full Text: DOI arXiv OpenURL
Tóth, László Márton Invariant Schreier decorations of unimodular random networks. (Décorations de Schreier invariantes sur les graphes aléatoires unimodulaires.) (English. French summary) Zbl 07480747 Ann. Henri Lebesgue 4, 1705-1726 (2021). MSC: 37A50 20E05 05C15 PDF BibTeX XML Cite \textit{L. M. Tóth}, Ann. Henri Lebesgue 4, 1705--1726 (2021; Zbl 07480747) Full Text: DOI arXiv OpenURL
Lee, James R. Conformal growth rates and spectral geometry on distributional limits of graphs. (English) Zbl 1482.05319 Ann. Probab. 49, No. 6, 2671-2731 (2021). MSC: 05C81 05C80 05C10 60D05 60G50 82B41 PDF BibTeX XML Cite \textit{J. R. Lee}, Ann. Probab. 49, No. 6, 2671--2731 (2021; Zbl 1482.05319) Full Text: DOI arXiv OpenURL
El Alaoui, Ahmed; Montanari, Andrea On the computational tractability of statistical estimation on amenable graphs. (English) Zbl 07458806 Probab. Theory Relat. Fields 181, No. 4, 815-864 (2021). MSC: 62F15 05C80 05D40 60K35 82B20 82B44 PDF BibTeX XML Cite \textit{A. El Alaoui} and \textit{A. Montanari}, Probab. Theory Relat. Fields 181, No. 4, 815--864 (2021; Zbl 07458806) Full Text: DOI arXiv OpenURL
Sarkar, Sourav A note on the local weak limit of a sequence of expander graphs. (English) Zbl 07453054 Electron. Commun. Probab. 26, Paper No. 32, 6 p. (2021). MSC: 60K35 82B43 PDF BibTeX XML Cite \textit{S. Sarkar}, Electron. Commun. Probab. 26, Paper No. 32, 6 p. (2021; Zbl 07453054) Full Text: DOI arXiv OpenURL
Chen, Yu-Ting Precise asymptotics of some meeting times arising from the voter model on large random regular graphs. (English) Zbl 1479.05323 Electron. Commun. Probab. 26, Paper No. 5, 13 p. (2021). MSC: 05C80 05C81 05C50 91B12 PDF BibTeX XML Cite \textit{Y.-T. Chen}, Electron. Commun. Probab. 26, Paper No. 5, 13 p. (2021; Zbl 1479.05323) Full Text: DOI arXiv OpenURL
Ráth, Balázs; Swart, Jan M.; Terpai, Tamás Frozen percolation on the binary tree is nonendogenous. (English) Zbl 07441178 Ann. Probab. 49, No. 5, 2272-2316 (2021). MSC: 82C27 60J80 60K35 82C43 05C05 PDF BibTeX XML Cite \textit{B. Ráth} et al., Ann. Probab. 49, No. 5, 2272--2316 (2021; Zbl 07441178) Full Text: DOI arXiv OpenURL
Gracar, Peter; Lüchtrath, Lukas; Mörters, Peter Percolation phase transition in weight-dependent random connection models. (English) Zbl 1475.60198 Adv. Appl. Probab. 53, No. 4, 1090-1114 (2021). MSC: 60K35 05C80 PDF BibTeX XML Cite \textit{P. Gracar} et al., Adv. Appl. Probab. 53, No. 4, 1090--1114 (2021; Zbl 1475.60198) Full Text: DOI arXiv OpenURL
van der Hofstad, Remco; Komjáthy, Júlia; Vadon, Viktória Random intersection graphs with communities. (English) Zbl 1475.60024 Adv. Appl. Probab. 53, No. 4, 1061-1089 (2021). MSC: 60C05 05C80 90B15 PDF BibTeX XML Cite \textit{R. van der Hofstad} et al., Adv. Appl. Probab. 53, No. 4, 1061--1089 (2021; Zbl 1475.60024) Full Text: DOI arXiv OpenURL
Lovász, László Flows on measurable spaces. (English) Zbl 1469.05068 Geom. Funct. Anal. 31, No. 2, 402-437 (2021). MSC: 05C21 05C20 60J05 60J10 PDF BibTeX XML Cite \textit{L. Lovász}, Geom. Funct. Anal. 31, No. 2, 402--437 (2021; Zbl 1469.05068) Full Text: DOI arXiv OpenURL
Ebrahimnejad, Farzam; Lee, James R. On planar graphs of uniform polynomial growth. (English) Zbl 1468.05050 Probab. Theory Relat. Fields 180, No. 3-4, 955-984 (2021). MSC: 05C10 05C63 05B40 05C90 05C80 05C81 52C26 60D05 PDF BibTeX XML Cite \textit{F. Ebrahimnejad} and \textit{J. R. Lee}, Probab. Theory Relat. Fields 180, No. 3--4, 955--984 (2021; Zbl 1468.05050) Full Text: DOI arXiv OpenURL
Coste, Simon; Salez, Justin Emergence of extended states at zero in the spectrum of sparse random graphs. (English) Zbl 1467.05240 Ann. Probab. 49, No. 4, 2012-2030 (2021). MSC: 05C80 05C50 05C42 47A10 60B20 PDF BibTeX XML Cite \textit{S. Coste} and \textit{J. Salez}, Ann. Probab. 49, No. 4, 2012--2030 (2021; Zbl 1467.05240) Full Text: DOI arXiv OpenURL
Gwynne, Ewain; Miller, Jason; Sheffield, Scott The Tutte embedding of the mated-CRT map converges to Liouville quantum gravity. (English) Zbl 07367520 Ann. Probab. 49, No. 4, 1677-1717 (2021). MSC: 60D05 60J65 60J67 PDF BibTeX XML Cite \textit{E. Gwynne} et al., Ann. Probab. 49, No. 4, 1677--1717 (2021; Zbl 07367520) Full Text: DOI arXiv OpenURL
Gwynne, Ewain; Pfeffer, Joshua External diffusion-limited aggregation on a spanning-tree-weighted random planar map. (English) Zbl 07367519 Ann. Probab. 49, No. 4, 1633-1676 (2021). MSC: 60J67 82B24 82B41 PDF BibTeX XML Cite \textit{E. Gwynne} and \textit{J. Pfeffer}, Ann. Probab. 49, No. 4, 1633--1676 (2021; Zbl 07367519) Full Text: DOI arXiv OpenURL
Gwynne, Ewain; Miller, Jason Random walk on random planar maps: spectral dimension, resistance and displacement. (English) Zbl 1483.60069 Ann. Probab. 49, No. 3, 1097-1128 (2021). MSC: 60G50 60G60 60J67 PDF BibTeX XML Cite \textit{E. Gwynne} and \textit{J. Miller}, Ann. Probab. 49, No. 3, 1097--1128 (2021; Zbl 1483.60069) Full Text: DOI arXiv OpenURL
Frączyk, Mikołaj Strong limit multiplicity for arithmetic hyperbolic surfaces and 3-manifolds. (English) Zbl 1473.30026 Invent. Math. 224, No. 3, 917-985 (2021). Reviewer: Ernesto Martínez (Madrid) MSC: 30F40 20H10 22E46 11K16 PDF BibTeX XML Cite \textit{M. Frączyk}, Invent. Math. 224, No. 3, 917--985 (2021; Zbl 1473.30026) Full Text: DOI arXiv OpenURL
Anantharaman, Nalini; Ingremeau, Maxime; Sabri, Mostafa; Winn, Brian Empirical spectral measures of quantum graphs in the Benjamini-Schramm limit. (English) Zbl 1461.81046 J. Funct. Anal. 280, No. 12, Article ID 108988, 52 p. (2021). MSC: 81Q35 81Q10 34B45 47B15 PDF BibTeX XML Cite \textit{N. Anantharaman} et al., J. Funct. Anal. 280, No. 12, Article ID 108988, 52 p. (2021; Zbl 1461.81046) Full Text: DOI arXiv OpenURL
Giscard, Pierre-Louis Counting walks by their last erased self-avoiding polygons using sieves. (English) Zbl 1473.05134 Discrete Math. 344, No. 4, Article ID 112305, 25 p. (2021). MSC: 05C30 05C81 05A15 05C63 PDF BibTeX XML Cite \textit{P.-L. Giscard}, Discrete Math. 344, No. 4, Article ID 112305, 25 p. (2021; Zbl 1473.05134) Full Text: DOI arXiv OpenURL
de Loynes, Basile; Navarro, Fabien; Olivier, Baptiste Data-driven thresholding in denoising with spectral graph wavelet transform. (English) Zbl 1458.94086 J. Comput. Appl. Math. 389, Article ID 113319, 13 p. (2021). MSC: 94A12 05C50 42C40 PDF BibTeX XML Cite \textit{B. de Loynes} et al., J. Comput. Appl. Math. 389, Article ID 113319, 13 p. (2021; Zbl 1458.94086) Full Text: DOI arXiv HAL OpenURL
Albenque, Marie; Ménard, Laurent; Schaeffer, Gilles Local convergence of large random triangulations coupled with an Ising model. (English) Zbl 1454.05011 Trans. Am. Math. Soc. 374, No. 1, 175-217 (2021). MSC: 05A15 05A16 05C30 60C05 60D05 60K35 82B44 PDF BibTeX XML Cite \textit{M. Albenque} et al., Trans. Am. Math. Soc. 374, No. 1, 175--217 (2021; Zbl 1454.05011) Full Text: DOI arXiv OpenURL
Georgakopoulos, Agelos; Haslegrave, John Percolation on an infinitely generated group. (English) Zbl 1469.60328 Comb. Probab. Comput. 29, No. 4, 587-615 (2020). MSC: 60K35 05C80 82B43 PDF BibTeX XML Cite \textit{A. Georgakopoulos} and \textit{J. Haslegrave}, Comb. Probab. Comput. 29, No. 4, 587--615 (2020; Zbl 1469.60328) Full Text: DOI arXiv OpenURL
Braides, Andrea; Solci, Margherita Compactness by Coarse-Graining in long-range lattice systems. (English) Zbl 1462.49026 Adv. Nonlinear Stud. 20, No. 4, 783-794 (2020). MSC: 49J45 49Q20 35B27 82B20 PDF BibTeX XML Cite \textit{A. Braides} and \textit{M. Solci}, Adv. Nonlinear Stud. 20, No. 4, 783--794 (2020; Zbl 1462.49026) Full Text: DOI arXiv OpenURL
Borga, Jacopo; Slivken, Erik Square permutations are typically rectangular. (English) Zbl 1475.60017 Ann. Appl. Probab. 30, No. 5, 2196-2233 (2020). Reviewer: Nikolaos Fountoulakis (Birmingham) MSC: 60C05 05A05 PDF BibTeX XML Cite \textit{J. Borga} and \textit{E. Slivken}, Ann. Appl. Probab. 30, No. 5, 2196--2233 (2020; Zbl 1475.60017) Full Text: DOI arXiv Euclid OpenURL
Mészaros, András Limiting entropy of determinantal processes. (English) Zbl 1468.60017 Ann. Probab. 48, No. 5, 2615-2643 (2020). Reviewer: Yilun Shang (Newcastle) MSC: 60C05 37A35 60K99 60B99 PDF BibTeX XML Cite \textit{A. Mészaros}, Ann. Probab. 48, No. 5, 2615--2643 (2020; Zbl 1468.60017) Full Text: DOI arXiv Euclid OpenURL
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 PDF BibTeX XML Cite \textit{L. Bowen}, Ergodic Theory Dyn. Syst. 40, No. 10, 2593--2680 (2020; Zbl 1452.37006) Full Text: DOI arXiv OpenURL
Lovász, L. Compact graphings. (English) Zbl 1463.05511 Acta Math. Hung. 161, No. 1, 185-196 (2020). Reviewer: David B. Penman (Colchester) MSC: 05C80 60B10 PDF BibTeX XML Cite \textit{L. Lovász}, Acta Math. Hung. 161, No. 1, 185--196 (2020; Zbl 1463.05511) Full Text: DOI arXiv OpenURL
Eckhoff, Maren; Goodman, Jesse; van der Hofstad, Remco; Nardi, Francesca R. Long paths in first passage percolation on the complete graph. I: Local PWIT dynamics. (English) Zbl 1459.60196 Electron. J. Probab. 25, Paper No. 81, 45 p. (2020). MSC: 60K35 60J80 60G55 PDF BibTeX XML Cite \textit{M. Eckhoff} et al., Electron. J. Probab. 25, Paper No. 81, 45 p. (2020; Zbl 1459.60196) Full Text: DOI arXiv Euclid OpenURL
Gwynne, Ewain; Hutchcroft, Tom Anomalous diffusion of random walk on random planar maps. (English) Zbl 1471.60160 Probab. Theory Relat. Fields 178, No. 1-2, 567-611 (2020). MSC: 60K50 60J67 60D05 PDF BibTeX XML Cite \textit{E. Gwynne} and \textit{T. Hutchcroft}, Probab. Theory Relat. Fields 178, No. 1--2, 567--611 (2020; Zbl 1471.60160) Full Text: DOI arXiv OpenURL
Hutchcroft, Tom Non-intersection of transient branching random walks. (English) Zbl 1471.60015 Probab. Theory Relat. Fields 178, No. 1-2, 1-23 (2020). MSC: 60D05 60J80 60K35 PDF BibTeX XML Cite \textit{T. Hutchcroft}, Probab. Theory Relat. Fields 178, No. 1--2, 1--23 (2020; Zbl 1471.60015) Full Text: DOI arXiv OpenURL
Stufler, Benedikt Limits of random tree-like discrete structures. (English) Zbl 1454.60019 Probab. Surv. 17, 318-477 (2020). Reviewer: Yilun Shang (Newcastle) MSC: 60C05 05C80 PDF BibTeX XML Cite \textit{B. Stufler}, Probab. Surv. 17, 318--477 (2020; Zbl 1454.60019) Full Text: DOI arXiv Euclid OpenURL
Gwynne, Ewain; Holden, Nina; Sun, Xin A mating-of-trees approach for graph distances in random planar maps. (English) Zbl 1464.60011 Probab. Theory Relat. Fields 177, No. 3-4, 1043-1102 (2020). Reviewer: Viktor Ohanyan (Erevan) MSC: 60D05 60G50 PDF BibTeX XML Cite \textit{E. Gwynne} et al., Probab. Theory Relat. Fields 177, No. 3--4, 1043--1102 (2020; Zbl 1464.60011) Full Text: DOI arXiv OpenURL
Borga, Jacopo; Bouvel, Mathilde; Féray, Valentin; Stufler, Benedikt A decorated tree approach to random permutations in substitution-closed classes. (English) Zbl 1456.60030 Electron. J. Probab. 25, Paper No. 67, 52 p. (2020). Reviewer: Yilun Shang (Newcastle) MSC: 60C05 60J80 05A05 PDF BibTeX XML Cite \textit{J. Borga} et al., Electron. J. Probab. 25, Paper No. 67, 52 p. (2020; Zbl 1456.60030) Full Text: DOI arXiv Euclid OpenURL
Schrödl-Baumann, Michael \(\ell^2\)-Betti numbers of random rooted simplicial complexes. (English) Zbl 1448.55025 Manuscr. Math. 162, No. 3-4, 283-304 (2020). Reviewer: Athanase Papadopoulos (Strasbourg) MSC: 55U10 57M10 PDF BibTeX XML Cite \textit{M. Schrödl-Baumann}, Manuscr. Math. 162, No. 3--4, 283--304 (2020; Zbl 1448.55025) Full Text: DOI arXiv OpenURL
Chapuy, G.; Perarnau, G. Local convergence and stability of tight bridge-addable classes. (English) Zbl 1439.05203 Can. J. Math. 72, No. 3, 563-601 (2020). MSC: 05C80 05C05 05C40 PDF BibTeX XML Cite \textit{G. Chapuy} and \textit{G. Perarnau}, Can. J. Math. 72, No. 3, 563--601 (2020; Zbl 1439.05203) Full Text: DOI OpenURL
Garavaglia, Alessandro; van der Hofstad, Remco; Litvak, Nelly Local weak convergence for PageRank. (English) Zbl 1434.60027 Ann. Appl. Probab. 30, No. 1, 40-79 (2020). MSC: 60B20 05C80 PDF BibTeX XML Cite \textit{A. Garavaglia} et al., Ann. Appl. Probab. 30, No. 1, 40--79 (2020; Zbl 1434.60027) Full Text: DOI arXiv Euclid OpenURL
Benjamini, Itai; Hermon, Jonathan Recurrence of Markov chain traces. (English. French summary) Zbl 1434.60172 Ann. Inst. Henri Poincaré, Probab. Stat. 56, No. 1, 734-759 (2020). MSC: 60J05 60D05 PDF BibTeX XML Cite \textit{I. Benjamini} and \textit{J. Hermon}, Ann. Inst. Henri Poincaré, Probab. Stat. 56, No. 1, 734--759 (2020; Zbl 1434.60172) Full Text: DOI arXiv Euclid OpenURL
Braides, Andrea; Cermelli, Paolo; Dovetta, Simone \(\Gamma\)-limit of the cut functional on dense graph sequences. (English) Zbl 1439.05068 ESAIM, Control Optim. Calc. Var. 26, Paper No. 26, 25 p. (2020). MSC: 05C12 05C42 05C63 PDF BibTeX XML Cite \textit{A. Braides} et al., ESAIM, Control Optim. Calc. Var. 26, Paper No. 26, 25 p. (2020; Zbl 1439.05068) Full Text: DOI arXiv OpenURL
Nešetřil, Jaroslav; Ossona de Mendez, Patrice A unified approach to structural limits and limits of graphs with bounded tree-depth. (English) Zbl 07196837 Memoirs of the American Mathematical Society 1272. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4065-7/pbk; 978-1-4704-5652-8/ebook). v, 108 p. (2020). MSC: 03-02 03C13 03C98 05Cxx 06E15 28C05 PDF BibTeX XML Cite \textit{J. Nešetřil} and \textit{P. Ossona de Mendez}, A unified approach to structural limits and limits of graphs with bounded tree-depth. Providence, RI: American Mathematical Society (AMS) (2020; Zbl 07196837) Full Text: DOI arXiv OpenURL
Khezeli, Ali Metrization of the Gromov-Hausdorff (-Prokhorov) topology for boundedly-compact metric spaces. (English) Zbl 1442.54023 Stochastic Processes Appl. 130, No. 6, 3842-3864 (2020). Reviewer: Cihangir Alaca (Manisa) MSC: 54E35 60B05 60B10 54E50 PDF BibTeX XML Cite \textit{A. Khezeli}, Stochastic Processes Appl. 130, No. 6, 3842--3864 (2020; Zbl 1442.54023) Full Text: DOI arXiv OpenURL
Collevecchio, Andrea; Jung, Paul On the speed and spectrum of mean-field random walks among random conductances. (English) Zbl 1444.60088 Stochastic Processes Appl. 130, No. 6, 3477-3498 (2020). MSC: 60K37 15B52 60B20 60C05 60J80 PDF BibTeX XML Cite \textit{A. Collevecchio} and \textit{P. Jung}, Stochastic Processes Appl. 130, No. 6, 3477--3498 (2020; Zbl 1444.60088) Full Text: DOI arXiv OpenURL
Ding, Jian; Gwynne, Ewain The fractal dimension of Liouville quantum gravity: universality, monotonicity, and bounds. (English) Zbl 1436.83024 Commun. Math. Phys. 374, No. 3, 1877-1934 (2020). MSC: 83C45 81T25 37F35 35K08 PDF BibTeX XML Cite \textit{J. Ding} and \textit{E. Gwynne}, Commun. Math. Phys. 374, No. 3, 1877--1934 (2020; Zbl 1436.83024) Full Text: DOI arXiv OpenURL
Le Masson, Etienne; Sabri, Mostafa \(L^p\) norms and support of eigenfunctions on graphs. (English) Zbl 1442.82006 Commun. Math. Phys. 374, No. 1, 211-240 (2020). MSC: 82B44 82D30 47B80 60H25 81Q10 05C50 PDF BibTeX XML Cite \textit{E. Le Masson} and \textit{M. Sabri}, Commun. Math. Phys. 374, No. 1, 211--240 (2020; Zbl 1442.82006) Full Text: DOI arXiv OpenURL
Borga, Jacopo Local convergence for permutations and local limits for uniform \(\rho \)-avoiding permutations with \(|\rho |=3\). (English) Zbl 1434.60035 Probab. Theory Relat. Fields 176, No. 1-2, 449-531 (2020). MSC: 60C05 05A05 PDF BibTeX XML Cite \textit{J. Borga}, Probab. Theory Relat. Fields 176, No. 1--2, 449--531 (2020; Zbl 1434.60035) Full Text: DOI arXiv OpenURL
Endo, Eric O.; Valesin, Daniel Local limits of spatial Gibbs random graphs. (English) Zbl 1434.82076 ALEA, Lat. Am. J. Probab. Math. Stat. 17, No. 1, 51-63 (2020). MSC: 82C44 60K35 60G70 05C80 05C42 60F10 PDF BibTeX XML Cite \textit{E. O. Endo} and \textit{D. Valesin}, ALEA, Lat. Am. J. Probab. Math. Stat. 17, No. 1, 51--63 (2020; Zbl 1434.82076) Full Text: arXiv Link OpenURL
Biskup, Marek; Ding, Jian; Goswami, Subhajit Return probability and recurrence for the random walk driven by two-dimensional Gaussian free field. (English) Zbl 1471.60154 Commun. Math. Phys. 373, No. 1, 45-106 (2020). MSC: 60K37 60G15 60J10 PDF BibTeX XML Cite \textit{M. Biskup} et al., Commun. Math. Phys. 373, No. 1, 45--106 (2020; Zbl 1471.60154) Full Text: DOI arXiv OpenURL
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 arXiv OpenURL
Baur, Erich; Miermont, Grégory; Ray, Gourab Classification of scaling limits of uniform quadrangulations with a boundary. (English) Zbl 1448.60027 Ann. Probab. 47, No. 6, 3397-3477 (2019). Reviewer: Athanase Papadopoulos (Strasbourg) MSC: 60D05 60F17 05C80 PDF BibTeX XML Cite \textit{E. Baur} et al., Ann. Probab. 47, No. 6, 3397--3477 (2019; Zbl 1448.60027) Full Text: DOI arXiv Euclid OpenURL
Nešetřil, Jaroslav; de Mendez, Patrice Ossona Existence of modeling limits for sequences of sparse structures. (English) Zbl 1444.03126 J. Symb. Log. 84, No. 2, 452-472 (2019). Reviewer: Daniele Mundici (Firenze) MSC: 03C30 03C98 05C99 03C45 28E15 03C50 PDF BibTeX XML Cite \textit{J. Nešetřil} and \textit{P. O. de Mendez}, J. Symb. Log. 84, No. 2, 452--472 (2019; Zbl 1444.03126) Full Text: DOI arXiv OpenURL
Goldschmidt, Christina; Przykucki, Michał Parking on a random tree. (English) Zbl 1434.60043 Comb. Probab. Comput. 28, No. 1, 23-45 (2019). MSC: 60C05 60J80 05C05 82B26 PDF BibTeX XML Cite \textit{C. Goldschmidt} and \textit{M. Przykucki}, Comb. Probab. Comput. 28, No. 1, 23--45 (2019; Zbl 1434.60043) Full Text: DOI arXiv OpenURL
Gracar, Peter; Grauer, Arne; Lüchtrath, Lukas; Mörters, Peter The age-dependent random connection model. (English) Zbl 1432.60090 Queueing Syst. 93, No. 3-4, 309-331 (2019). MSC: 60K35 05C80 PDF BibTeX XML Cite \textit{P. Gracar} et al., Queueing Syst. 93, No. 3--4, 309--331 (2019; Zbl 1432.60090) Full Text: DOI arXiv OpenURL
Anantharaman, Nalini; Sabri, Mostafa Recent results of quantum ergodicity on graphs and further investigation. (English. French summary) Zbl 1434.82037 Ann. Fac. Sci. Toulouse, Math. (6) 28, No. 3, 559-592 (2019). MSC: 82B44 58J51 47B80 60B20 05C80 PDF BibTeX XML Cite \textit{N. Anantharaman} and \textit{M. Sabri}, Ann. Fac. Sci. Toulouse, Math. (6) 28, No. 3, 559--592 (2019; Zbl 1434.82037) Full Text: DOI arXiv OpenURL
Borgs, Christian; Chayes, Jennifer T.; Cohn, Henry; Veitch, Victor Sampling perspectives on sparse exchangeable graphs. (English) Zbl 1448.60025 Ann. Probab. 47, No. 5, 2754-2800 (2019). Reviewer: Yilun Shang (Newcastle) MSC: 60C05 62D05 62G09 62G05 PDF BibTeX XML Cite \textit{C. Borgs} et al., Ann. Probab. 47, No. 5, 2754--2800 (2019; Zbl 1448.60025) Full Text: DOI arXiv Euclid OpenURL
Hutchcroft, Tom; Nachmias, Asaf Uniform spanning forests of planar graphs. (English) Zbl 1422.60022 Forum Math. Sigma 7, Paper No. e29, 55 p. (2019). MSC: 60D05 05C10 PDF BibTeX XML Cite \textit{T. Hutchcroft} and \textit{A. Nachmias}, Forum Math. Sigma 7, Paper No. e29, 55 p. (2019; Zbl 1422.60022) Full Text: DOI arXiv OpenURL
Jiang, Yi; Dumer, Ilya; Kovalev, Alexey A.; Pryadko, Leonid P. Duality and free energy analyticity bounds for few-body Ising models with extensive homology rank. (English) Zbl 1426.82008 J. Math. Phys. 60, No. 8, 083302, 21 p. (2019). MSC: 82B20 82B30 82B44 82B27 18G35 57T10 82B21 82D40 PDF BibTeX XML Cite \textit{Y. Jiang} et al., J. Math. Phys. 60, No. 8, 083302, 21 p. (2019; Zbl 1426.82008) Full Text: DOI arXiv Link OpenURL
Huang, Brice; Rahman, Mustazee On the local geometry of graphs in terms of their spectra. (English) Zbl 1420.05042 Eur. J. Comb. 81, 378-393 (2019). MSC: 05C10 05C50 05C25 05C30 05C38 PDF BibTeX XML Cite \textit{B. Huang} and \textit{M. Rahman}, Eur. J. Comb. 81, 378--393 (2019; Zbl 1420.05042) Full Text: DOI arXiv OpenURL
Anantharaman, Nalini; Sabri, Mostafa Quantum ergodicity on graphs: from spectral to spatial delocalization. (English) Zbl 1423.58021 Ann. Math. (2) 189, No. 3, 753-835 (2019). Reviewer: Peter B. Gilkey (Eugene) MSC: 58J51 PDF BibTeX XML Cite \textit{N. Anantharaman} and \textit{M. Sabri}, Ann. Math. (2) 189, No. 3, 753--835 (2019; Zbl 1423.58021) Full Text: DOI arXiv OpenURL
Borgs, Christian; Chayes, Jennifer T.; Cohn, Henry; Zhao, Yufei An \(L^p\) theory of sparse graph convergence. I: Limits, sparse random graph models, and power law distributions. (English) Zbl 1417.05186 Trans. Am. Math. Soc. 372, No. 5, 3019-3062 (2019). MSC: 05C80 05C42 60C05 PDF BibTeX XML Cite \textit{C. Borgs} et al., Trans. Am. Math. Soc. 372, No. 5, 3019--3062 (2019; Zbl 1417.05186) Full Text: DOI arXiv OpenURL
Gwynne, Ewain; Miller, Jason; Sheffield, Scott Harmonic functions on mated-CRT maps. (English) Zbl 1466.60090 Electron. J. Probab. 24, Paper No. 58, 55 p. (2019). MSC: 60G50 60K37 60J67 PDF BibTeX XML Cite \textit{E. Gwynne} et al., Electron. J. Probab. 24, Paper No. 58, 55 p. (2019; Zbl 1466.60090) Full Text: DOI arXiv Euclid OpenURL
Espinasse, Thibault; Rochet, Paul A coupling of the spectral measures at a vertex. (English) Zbl 1417.05117 Electron. J. Comb. 26, No. 3, Research Paper P3.23, 15 p. (2019). MSC: 05C50 05C83 05C20 PDF BibTeX XML Cite \textit{T. Espinasse} and \textit{P. Rochet}, Electron. J. Comb. 26, No. 3, Research Paper P3.23, 15 p. (2019; Zbl 1417.05117) Full Text: arXiv Link OpenURL
Hu, Zhishui; Li, Zheng; Feng, Qunqiang Accessibility percolation on random rooted labeled trees. (English) Zbl 1416.05259 J. Appl. Probab. 56, No. 2, 533-545 (2019). MSC: 05C80 05C05 60C05 60F05 PDF BibTeX XML Cite \textit{Z. Hu} et al., J. Appl. Probab. 56, No. 2, 533--545 (2019; Zbl 1416.05259) Full Text: DOI OpenURL
Kunszenti-Kovács, Dávid; Lovász, László; Szegedy, Balázs Measures on the square as sparse graph limits. (English) Zbl 1415.05099 J. Comb. Theory, Ser. B 138, 1-40 (2019). MSC: 05C42 PDF BibTeX XML Cite \textit{D. Kunszenti-Kovács} et al., J. Comb. Theory, Ser. B 138, 1--40 (2019; Zbl 1415.05099) Full Text: DOI arXiv OpenURL
Hutchcroft, Tom Percolation on hyperbolic graphs. (English) Zbl 1474.60230 Geom. Funct. Anal. 29, No. 3, 766-810 (2019). MSC: 60K35 PDF BibTeX XML Cite \textit{T. Hutchcroft}, Geom. Funct. Anal. 29, No. 3, 766--810 (2019; Zbl 1474.60230) Full Text: DOI arXiv OpenURL
Chapuy, Guillaume; Perarnau, Guillem Connectivity in bridge-addable graph classes: the McDiarmid-Steger-Welsh conjecture. (English) Zbl 1414.05168 J. Comb. Theory, Ser. B 136, 44-71 (2019). MSC: 05C40 05C80 PDF BibTeX XML Cite \textit{G. Chapuy} and \textit{G. Perarnau}, J. Comb. Theory, Ser. B 136, 44--71 (2019; Zbl 1414.05168) Full Text: DOI OpenURL
Beringer, Dorottya; Timár, Ádám Controllability, matching ratio and graph convergence. (English) Zbl 1414.05261 J. Stat. Phys. 174, No. 5, 1080-1103 (2019). MSC: 05C80 05C82 90B15 93B05 PDF BibTeX XML Cite \textit{D. Beringer} and \textit{Á. Timár}, J. Stat. Phys. 174, No. 5, 1080--1103 (2019; Zbl 1414.05261) Full Text: DOI arXiv OpenURL
Méliot, Pierre-Loïc Asymptotic representation theory and the spectrum of a random geometric graph on a compact Lie group. (English) Zbl 1410.05137 Electron. J. Probab. 24, Paper No. 43, 40 p. (2019). MSC: 05C50 05C80 05E10 60B20 15B52 20C15 PDF BibTeX XML Cite \textit{P.-L. Méliot}, Electron. J. Probab. 24, Paper No. 43, 40 p. (2019; Zbl 1410.05137) Full Text: DOI arXiv Euclid OpenURL
Shokrieh, Farbod; Wu, Chenxi Canonical measures on metric graphs and a Kazhdan’s theorem. (English) Zbl 1440.14284 Invent. Math. 215, No. 3, 819-862 (2019). MSC: 14T25 05C12 05C63 14H30 20F65 57M60 PDF BibTeX XML Cite \textit{F. Shokrieh} and \textit{C. Wu}, Invent. Math. 215, No. 3, 819--862 (2019; Zbl 1440.14284) Full Text: DOI arXiv OpenURL
Lenz, Daniel; Pogorzelski, Felix; Schmidt, Marcel The Ihara zeta function for infinite graphs. (English) Zbl 1409.05075 Trans. Am. Math. Soc. 371, No. 8, 5687-5729 (2019). MSC: 05C12 05C38 05C80 22D40 46L51 11M41 PDF BibTeX XML Cite \textit{D. Lenz} et al., Trans. Am. Math. Soc. 371, No. 8, 5687--5729 (2019; Zbl 1409.05075) Full Text: DOI arXiv OpenURL
Alekseev, Vadim; Finn-Sell, Martin Sofic boundaries of groups and coarse geometry of sofic approximations. (English) Zbl 07039922 Groups Geom. Dyn. 13, No. 1, 191-234 (2019). MSC: 20F65 46L55 PDF BibTeX XML Cite \textit{V. Alekseev} and \textit{M. Finn-Sell}, Groups Geom. Dyn. 13, No. 1, 191--234 (2019; Zbl 07039922) Full Text: DOI arXiv OpenURL
Ramzews, Leon; Stufler, Benedikt Simply generated unrooted plane trees. (English) Zbl 1406.05018 ALEA, Lat. Am. J. Probab. Math. Stat. 16, No. 1, 333-359 (2019). MSC: 05C05 05C10 05C80 60J80 PDF BibTeX XML Cite \textit{L. Ramzews} and \textit{B. Stufler}, ALEA, Lat. Am. J. Probab. Math. Stat. 16, No. 1, 333--359 (2019; Zbl 1406.05018) Full Text: arXiv Link OpenURL
Devroye, Luc; Holmgren, Cecilia; Sulzbach, Henning Heavy subtrees of Galton-Watson trees with an application to Apollonian networks. (English) Zbl 1406.60117 Electron. J. Probab. 24, Paper No. 2, 44 p. (2019). MSC: 60J80 60J85 05C80 PDF BibTeX XML Cite \textit{L. Devroye} et al., Electron. J. Probab. 24, Paper No. 2, 44 p. (2019; Zbl 1406.60117) Full Text: DOI arXiv Euclid OpenURL
Can, Van Hao Exponential extinction time of the contact process on rank-one inhomogeneous random graphs. (English) Zbl 1412.82028 J. Theor. Probab. 32, No. 1, 106-130 (2019). MSC: 82C22 05C80 PDF BibTeX XML Cite \textit{V. H. Can}, J. Theor. Probab. 32, No. 1, 106--130 (2019; Zbl 1412.82028) Full Text: DOI arXiv OpenURL
Medvedev, Alexey; Pete, Gábor Speeding up non-Markovian first-passage percolation with a few extra edges. (English) Zbl 1430.60087 Adv. Appl. Probab. 50, No. 3, 858-886 (2018). MSC: 60K35 60K37 05C80 82C43 90B18 PDF BibTeX XML Cite \textit{A. Medvedev} and \textit{G. Pete}, Adv. Appl. Probab. 50, No. 3, 858--886 (2018; Zbl 1430.60087) Full Text: DOI arXiv Link OpenURL
Benjamini, Itai; Elek, Gabor Sparse graph limits along balls. (English) Zbl 1425.05086 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, 33-38 (2018). MSC: 05C42 PDF BibTeX XML Cite \textit{I. Benjamini} and \textit{G. Elek}, Contemp. Math. 719, 33--38 (2018; Zbl 1425.05086) Full Text: DOI OpenURL
Deitmar, Anton Benjamini-Schramm and spectral convergence. (English) Zbl 1425.81044 Enseign. Math. (2) 64, No. 3-4, 371-394 (2018). MSC: 81Q50 05D40 11F72 22E40 30L05 43A99 PDF BibTeX XML Cite \textit{A. Deitmar}, Enseign. Math. (2) 64, No. 3--4, 371--394 (2018; Zbl 1425.81044) Full Text: DOI arXiv OpenURL
Lee, James R. Discrete uniformizing metrics on distributional limits of sphere packings. (English) Zbl 1419.05064 Geom. Funct. Anal. 28, No. 4, 1091-1130 (2018). MSC: 05C12 05C22 PDF BibTeX XML Cite \textit{J. R. Lee}, Geom. Funct. Anal. 28, No. 4, 1091--1130 (2018; Zbl 1419.05064) Full Text: DOI arXiv OpenURL
Angel, Omer; Hutchcroft, Tom; Nachmias, Asaf; Ray, Gourab Hyperbolic and parabolic unimodular random maps. (English) Zbl 1459.60018 Geom. Funct. Anal. 28, No. 4, 879-942 (2018). MSC: 60D05 60K35 05C10 PDF BibTeX XML Cite \textit{O. Angel} et al., Geom. Funct. Anal. 28, No. 4, 879--942 (2018; Zbl 1459.60018) Full Text: DOI arXiv OpenURL
Aldous, David; Li, Xiang A framework for imperfectly observed networks. (English) Zbl 1403.60066 J. Stat. Phys. 173, No. 3-4, 1303-1320 (2018). MSC: 60J27 05C82 91D30 60K35 PDF BibTeX XML Cite \textit{D. Aldous} and \textit{X. Li}, J. Stat. Phys. 173, No. 3--4, 1303--1320 (2018; Zbl 1403.60066) Full Text: DOI Link OpenURL
Delgosha, Payam; Anantharam, Venkat Load balancing in hypergraphs. (English) Zbl 1403.60015 J. Stat. Phys. 173, No. 3-4, 546-625 (2018). MSC: 60C05 05C80 05C65 90B15 82B26 94A15 PDF BibTeX XML Cite \textit{P. Delgosha} and \textit{V. Anantharam}, J. Stat. Phys. 173, No. 3--4, 546--625 (2018; Zbl 1403.60015) Full Text: DOI arXiv OpenURL
Hladký, Jan; Nachmias, Asaf; Tran, Tuan The local limit of the uniform spanning tree on dense graphs. (English) Zbl 1404.05194 J. Stat. Phys. 173, No. 3-4, 502-545 (2018). MSC: 05C80 60J80 PDF BibTeX XML Cite \textit{J. Hladký} et al., J. Stat. Phys. 173, No. 3--4, 502--545 (2018; Zbl 1404.05194) Full Text: DOI arXiv OpenURL
Dereich, Steffen; Ortgiese, Marcel Local neighbourhoods for first-passage percolation on the configuration model. (English) Zbl 1404.60123 J. Stat. Phys. 173, No. 3-4, 485-501 (2018). MSC: 60J80 05C80 82C43 PDF BibTeX XML Cite \textit{S. Dereich} and \textit{M. Ortgiese}, J. Stat. Phys. 173, No. 3--4, 485--501 (2018; Zbl 1404.60123) Full Text: DOI arXiv OpenURL
Gorny, Matthias; Maurel-Segala, Édouard; Singh, Arvind The geometry of a critical percolation cluster on the UIPT. (English. French summary) Zbl 1434.60292 Ann. Inst. Henri Poincaré, Probab. Stat. 54, No. 4, 2203-2238 (2018). MSC: 60K35 05C80 PDF BibTeX XML Cite \textit{M. Gorny} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 54, No. 4, 2203--2238 (2018; Zbl 1434.60292) Full Text: DOI arXiv Euclid OpenURL
Chen, Yu-Ting Wright-Fisher diffusions in stochastic spatial evolutionary games with death-birth updating. (English) Zbl 1404.60148 Ann. Appl. Probab. 28, No. 6, 3418-3490 (2018). MSC: 60K35 60F05 60J60 91A22 82C22 PDF BibTeX XML Cite \textit{Y.-T. Chen}, Ann. Appl. Probab. 28, No. 6, 3418--3490 (2018; Zbl 1404.60148) Full Text: DOI arXiv Euclid OpenURL
Foxall, Eric; Hutchcroft, Tom; Junge, Matthew Coalescing random walk on unimodular graphs. (English) Zbl 1414.60078 Electron. Commun. Probab. 23, Paper No. 62, 10 p. (2018). MSC: 60K35 05C81 PDF BibTeX XML Cite \textit{E. Foxall} et al., Electron. Commun. Probab. 23, Paper No. 62, 10 p. (2018; Zbl 1414.60078) Full Text: DOI arXiv Euclid OpenURL
Grimmett, Geoffrey R.; Li, Zhongyang Locality of connective constants. (English) Zbl 1397.05076 Discrete Math. 341, No. 12, 3483-3497 (2018). MSC: 05C25 PDF BibTeX XML Cite \textit{G. R. Grimmett} and \textit{Z. Li}, Discrete Math. 341, No. 12, 3483--3497 (2018; Zbl 1397.05076) Full Text: DOI arXiv OpenURL
Davies, Ewan; Jenssen, Matthew; Perkins, Will; Roberts, Barnaby Tight bounds on the coefficients of partition functions via stability. (English) Zbl 1394.05059 J. Comb. Theory, Ser. A 160, 1-30 (2018). MSC: 05C31 05C69 05C70 PDF BibTeX XML Cite \textit{E. Davies} et al., J. Comb. Theory, Ser. A 160, 1--30 (2018; Zbl 1394.05059) Full Text: DOI Link OpenURL
Baur, Erich; Richier, Loïc Uniform infinite half-planar quadrangulations with skewness. (English) Zbl 1393.05240 Electron. J. Probab. 23, Paper No. 54, 43 p. (2018). MSC: 05C80 05C81 05C05 60J80 60F05 PDF BibTeX XML Cite \textit{E. Baur} and \textit{L. Richier}, Electron. J. Probab. 23, Paper No. 54, 43 p. (2018; Zbl 1393.05240) Full Text: DOI arXiv Euclid OpenURL
Stufler, Benedikt Random enriched trees with applications to random graphs. (English) Zbl 1393.60013 Electron. J. Comb. 25, No. 3, Research Paper P3.11, 81 p. (2018). MSC: 60C05 05C80 PDF BibTeX XML Cite \textit{B. Stufler}, Electron. J. Comb. 25, No. 3, Research Paper P3.11, 81 p. (2018; Zbl 1393.60013) Full Text: arXiv Link OpenURL
Noiry, Nathan Spectral asymptotic expansion of Wishart matrices with exploding moments. (English) Zbl 1398.60013 ALEA, Lat. Am. J. Probab. Math. Stat. 15, No. 2, 897-911 (2018). MSC: 60B20 05C80 15B52 PDF BibTeX XML Cite \textit{N. Noiry}, ALEA, Lat. Am. J. Probab. Math. Stat. 15, No. 2, 897--911 (2018; Zbl 1398.60013) Full Text: Link OpenURL
Coja-Oghlan, Amin; Efthymiou, Charilaos; Jaafari, Nor Local convergence of random graph colorings. (English) Zbl 1399.05200 Combinatorica 38, No. 2, 341-380 (2018). Reviewer: David B. Penman (Colchester) MSC: 05C80 05C15 PDF BibTeX XML Cite \textit{A. Coja-Oghlan} et al., Combinatorica 38, No. 2, 341--380 (2018; Zbl 1399.05200) Full Text: DOI arXiv Link OpenURL
DeMuse, Ryan; Larcomb, Danielle; Yin, Mei Phase transitions in edge-weighted exponential random graphs: near-degeneracy and universality. (English) Zbl 1392.82018 J. Stat. Phys. 171, No. 1, 127-144 (2018). MSC: 82B26 82B20 82B27 05C80 PDF BibTeX XML Cite \textit{R. DeMuse} et al., J. Stat. Phys. 171, No. 1, 127--144 (2018; Zbl 1392.82018) Full Text: DOI arXiv OpenURL
Borgs, Christian; Chayes, Jennifer T.; Cohn, Henry; Zhao, Yufei An \(L^{p}\) theory of sparse graph convergence. II: LD convergence, quotients and right convergence. (English) Zbl 1386.05099 Ann. Probab. 46, No. 1, 337-396 (2018). MSC: 05C42 05C80 82B99 PDF BibTeX XML Cite \textit{C. Borgs} et al., Ann. Probab. 46, No. 1, 337--396 (2018; Zbl 1386.05099) Full Text: DOI arXiv OpenURL
Bordenave, Charles; Lelarge, Marc; Massoulié, Laurent Nonbacktracking spectrum of random graphs: community detection and nonregular Ramanujan graphs. (English) Zbl 1386.05174 Ann. Probab. 46, No. 1, 1-71 (2018). MSC: 05C80 05C20 60B20 62M15 60J85 15B52 PDF BibTeX XML Cite \textit{C. Bordenave} et al., Ann. Probab. 46, No. 1, 1--71 (2018; Zbl 1386.05174) Full Text: DOI arXiv OpenURL
Gwynne, Ewain; Kassel, Adrien; Miller, Jason; Wilson, David B. Active spanning trees with bending energy on planar maps and SLE-decorated Liouville quantum gravity for \(\kappa>8\). (English) Zbl 1393.60090 Commun. Math. Phys. 358, No. 3, 1065-1115 (2018). MSC: 60J67 83C45 PDF BibTeX XML Cite \textit{E. Gwynne} et al., Commun. Math. Phys. 358, No. 3, 1065--1115 (2018; Zbl 1393.60090) Full Text: DOI arXiv OpenURL