Anari, Nima; Liu, Kuikui; Gharan, Shayan Oveis; Vinzant, Cynthia Log-concave polynomials. II: High-dimensional walks and an FPRAS for counting bases of a matroid. (English) Zbl 07782632 Ann. Math. (2) 199, No. 1, 259-299 (2024). MSC: 68Q87 68W25 05Axx 05Bxx 05Cxx PDFBibTeX XMLCite \textit{N. Anari} et al., Ann. Math. (2) 199, No. 1, 259--299 (2024; Zbl 07782632) Full Text: DOI
Park, Jinyoung; Pham, Huy Tuan A proof of the Kahn-Kalai conjecture. (English) Zbl 1522.05442 J. Am. Math. Soc. 37, No. 1, 235-243 (2024). MSC: 05C80 60C05 06E30 68R05 PDFBibTeX XMLCite \textit{J. Park} and \textit{H. T. Pham}, J. Am. Math. Soc. 37, No. 1, 235--243 (2024; Zbl 1522.05442) Full Text: DOI arXiv
Scott, Alex Graphs of large chromatic number. (English) Zbl 07821707 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 6. Sections 12–14. Berlin: European Mathematical Society (EMS). 4660-4680 (2023). MSC: 05C15 05C69 05C75 05D10 PDFBibTeX XMLCite \textit{A. Scott}, in: International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6--14, 2022. Volume 6. Sections 12--14. Berlin: European Mathematical Society (EMS). 4660--4680 (2023; Zbl 07821707) Full Text: DOI OA License
Hutchcroft, Tom Continuity of the Ising phase transition on nonamenable groups. (English) Zbl 07754954 Commun. Math. Phys. 404, No. 1, 227-286 (2023). MSC: 82Bxx 60Kxx 05Cxx PDFBibTeX XMLCite \textit{T. Hutchcroft}, Commun. Math. Phys. 404, No. 1, 227--286 (2023; Zbl 07754954) Full Text: DOI arXiv
Helmuth, Tyler; Jenssen, Matthew; Perkins, Will Finite-size scaling, phase coexistence, and algorithms for the random cluster model on random graphs. (English) Zbl 07699943 Ann. Inst. Henri Poincaré, Probab. Stat. 59, No. 2, 817-848 (2023). MSC: 82B20 82B26 82B27 82B44 60J10 60F05 05C80 PDFBibTeX XMLCite \textit{T. Helmuth} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 59, No. 2, 817--848 (2023; Zbl 07699943) Full Text: DOI arXiv
Blanca, Antonio; Sinclair, Alistair; Zhang, Xusheng The critical mean-field Chayes-Machta dynamics. (English) Zbl 1511.60103 Comb. Probab. Comput. 31, No. 6, 924-975 (2022). MSC: 60J10 82M31 68W20 05C80 60F05 68R10 PDFBibTeX XMLCite \textit{A. Blanca} et al., Comb. Probab. Comput. 31, No. 6, 924--975 (2022; Zbl 1511.60103) Full Text: DOI arXiv
Mayes, Darion The random cluster model on the complete graph via large deviations. (English) Zbl 1506.05189 Stochastic Processes Appl. 153, 264-282 (2022). MSC: 05C80 60K35 60F10 60C05 PDFBibTeX XMLCite \textit{D. Mayes}, Stochastic Processes Appl. 153, 264--282 (2022; Zbl 1506.05189) Full Text: DOI arXiv
Dereudre, David Fully-connected bond percolation on \(\mathbb{Z}^d\). (English) Zbl 1503.60144 Probab. Theory Relat. Fields 183, No. 1-2, 547-579 (2022). MSC: 60K35 60D05 05C80 82B05 82B26 PDFBibTeX XMLCite \textit{D. Dereudre}, Probab. Theory Relat. Fields 183, No. 1--2, 547--579 (2022; Zbl 1503.60144) Full Text: DOI arXiv
Easo, Philip The wired arboreal gas on regular trees. (English) Zbl 1491.60174 Electron. Commun. Probab. 27, Paper No. 22, 10 p. (2022). MSC: 60K35 05C80 PDFBibTeX XMLCite \textit{P. Easo}, Electron. Commun. Probab. 27, Paper No. 22, 10 p. (2022; Zbl 1491.60174) Full Text: DOI arXiv
Bauerschmidt, Roland; Crawford, Nicholas; Helmuth, Tyler; Swan, Andrew Random spanning forests and hyperbolic symmetry. (English) Zbl 1470.60270 Commun. Math. Phys. 381, No. 3, 1223-1261 (2021). MSC: 60K35 05C80 82B20 PDFBibTeX XMLCite \textit{R. Bauerschmidt} et al., Commun. Math. Phys. 381, No. 3, 1223--1261 (2021; Zbl 1470.60270) Full Text: DOI arXiv
Glazman, Alexander; Manolescu, Ioan Uniform Lipschitz functions on the triangular lattice have logarithmic variations. (English) Zbl 1470.60278 Commun. Math. Phys. 381, No. 3, 1153-1221 (2021). MSC: 60K35 05C60 82B20 82B41 PDFBibTeX XMLCite \textit{A. Glazman} and \textit{I. Manolescu}, Commun. Math. Phys. 381, No. 3, 1153--1221 (2021; Zbl 1470.60278) Full Text: DOI arXiv
Duminil-Copin, Hugo; Goswami, Subhajit; Raoufi, Aran; Severo, Franco; Yadin, Ariel Existence of phase transition for percolation using the Gaussian free field. (English) Zbl 1470.60275 Duke Math. J. 169, No. 18, 3539-3563 (2020). MSC: 60K35 82B43 82B20 05C25 PDFBibTeX XMLCite \textit{H. Duminil-Copin} et al., Duke Math. J. 169, No. 18, 3539--3563 (2020; Zbl 1470.60275) Full Text: DOI arXiv Euclid
Brändén, Petter; Huh, June Lorentzian polynomials. (English) Zbl 1454.52013 Ann. Math. (2) 192, No. 3, 821-891 (2020). MSC: 52B40 14T15 05A20 05E14 05B35 PDFBibTeX XMLCite \textit{P. Brändén} and \textit{J. Huh}, Ann. Math. (2) 192, No. 3, 821--891 (2020; Zbl 1454.52013) Full Text: DOI arXiv
Ray, Gourab; Spinka, Yinon A short proof of the discontinuity of phase transition in the planar random-cluster model with \(q > 4\). (English) Zbl 1453.82017 Commun. Math. Phys. 378, No. 3, 1977-1988 (2020). MSC: 82B26 82B20 82B43 82B23 60K35 05C63 05D40 PDFBibTeX XMLCite \textit{G. Ray} and \textit{Y. Spinka}, Commun. Math. Phys. 378, No. 3, 1977--1988 (2020; Zbl 1453.82017) Full Text: DOI arXiv
Blanca, Antonio; Galanis, Andreas; Goldberg, Leslie Ann; Štefankovič, Daniel; Vigoda, Eric; Yang, Kuan Sampling in uniqueness from the Potts and random-cluster models on random regular graphs. (English) Zbl 1436.82004 SIAM J. Discrete Math. 34, No. 1, 742-793 (2020). Reviewer: Hasan Akin (Gaziantep) MSC: 82B20 82B26 05C80 60K35 68Q87 82B43 82D40 62H30 68W20 PDFBibTeX XMLCite \textit{A. Blanca} et al., SIAM J. Discrete Math. 34, No. 1, 742--793 (2020; Zbl 1436.82004) Full Text: DOI
Gandolfi, Alberto FKG (and other inequalities) from (generalized and approximate) FK random cluster representation (and iterated folding). (English) Zbl 1446.82009 Sidoravicius, Vladas (ed.), Sojourns in probability theory and statistical physics. II. Brownian web and percolation, a festschrift for Charles M. Newman. Singapore: Springer; Shanghai: NYU Shanghai. Springer Proc. Math. Stat. 299, 186-207 (2019). MSC: 82B20 05E10 60C05 60K35 PDFBibTeX XMLCite \textit{A. Gandolfi}, Springer Proc. Math. Stat. 299, 186--207 (2019; Zbl 1446.82009) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{G. R. Grimmett} and \textit{Z. Li}, Springer Proc. Math. Stat. 300, 215--241 (2019; Zbl 1446.82029) Full Text: DOI arXiv
Grimmett, Geoffrey R.; Li, Zhongyang The 1-2 model. (English) Zbl 1390.82013 Basmajian, Ara S. (ed.) et al., In the tradition of Ahlfors-Bers, VII. Proceedings of the 6th Ahlfors-Bers colloquium, Yale University, New Haven, CT, USA, October 23–26, 2014. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2651-4/pbk; 978-1-4704-4198-2/ebook). Contemporary Mathematics 696, 139-152 (2017). MSC: 82B20 60K35 05C70 PDFBibTeX XMLCite \textit{G. R. Grimmett} and \textit{Z. Li}, Contemp. Math. 696, 139--152 (2017; Zbl 1390.82013) Full Text: DOI arXiv
Can, Van Hao Critical behavior of the annealed Ising model on random regular graphs. (English) Zbl 1382.82007 J. Stat. Phys. 169, No. 3, 480-503 (2017). MSC: 82B20 82B27 05C80 60F05 PDFBibTeX XMLCite \textit{V. H. Can}, J. Stat. Phys. 169, No. 3, 480--503 (2017; Zbl 1382.82007) Full Text: DOI arXiv
Geloun, Joseph Ben; Caravelli, Francesco On an ordering-dependent generalization of the Tutte polynomial. (English) Zbl 1373.82019 J. Stat. Phys. 168, No. 5, 1105-1124 (2017). MSC: 82B20 05C31 PDFBibTeX XMLCite \textit{J. B. Geloun} and \textit{F. Caravelli}, J. Stat. Phys. 168, No. 5, 1105--1124 (2017; Zbl 1373.82019) Full Text: DOI arXiv
Cai, Haiyan A note on jointly modeling edges and node attributes of a network. (English) Zbl 1417.05191 Stat. Probab. Lett. 121, 54-60 (2017). MSC: 05C82 05C40 05C80 60C05 PDFBibTeX XMLCite \textit{H. Cai}, Stat. Probab. Lett. 121, 54--60 (2017; Zbl 1417.05191) Full Text: DOI arXiv
Galanis, Andreas; Štefankovič, Daniel; Vigoda, Eric; Yang, Linji Ferromagnetic Potts model: refined \(\#\)BIS-hardness and related results. (English) Zbl 1355.68198 SIAM J. Comput. 45, No. 6, 2004-2065 (2016). MSC: 68Q87 05C80 68Q17 82C20 PDFBibTeX XMLCite \textit{A. Galanis} et al., SIAM J. Comput. 45, No. 6, 2004--2065 (2016; Zbl 1355.68198) Full Text: DOI Link
Grimmett, Geoffrey R.; Li, Zhongyang Bounds on connective constants of regular graphs. (English) Zbl 1374.05123 Combinatorica 35, No. 3, 279-294 (2015). MSC: 05C30 82B20 PDFBibTeX XMLCite \textit{G. R. Grimmett} and \textit{Z. Li}, Combinatorica 35, No. 3, 279--294 (2015; Zbl 1374.05123) Full Text: DOI arXiv
Royle, Gordon F.; Sokal, Alan D. Linear bound in terms of maxmaxflow for the chromatic roots of series-parallel graphs. (English) Zbl 1323.05071 SIAM J. Discrete Math. 29, No. 4, 2117-2159 (2015). MSC: 05C31 05A20 05C15 05C21 05E99 30C15 37F10 37F45 82B20 PDFBibTeX XMLCite \textit{G. F. Royle} and \textit{A. D. Sokal}, SIAM J. Discrete Math. 29, No. 4, 2117--2159 (2015; Zbl 1323.05071) Full Text: DOI arXiv
Bordewich, Magnus; Kang, Ross J. Subset Glauber dynamics on graphs, hypergraphs and matroids of bounded tree-width. (English) Zbl 1298.05284 Electron. J. Comb. 21, No. 4, Research Paper P4.19, 26 p. (2014). MSC: 05C80 05C30 05C65 05C31 82C20 68R10 60J10 68W20 68W25 PDFBibTeX XMLCite \textit{M. Bordewich} and \textit{R. J. Kang}, Electron. J. Comb. 21, No. 4, Research Paper P4.19, 26 p. (2014; Zbl 1298.05284) Full Text: Link
Levine, Lionel; Peres, Yuval The looping constant of \(\mathbb Z^d\). (English) Zbl 1316.60067 Random Struct. Algorithms 45, No. 1, 1-13 (2014). Reviewer: Agelos Georgakopoulos (Coventry) MSC: 60G50 05C81 05C05 60K35 PDFBibTeX XMLCite \textit{L. Levine} and \textit{Y. Peres}, Random Struct. Algorithms 45, No. 1, 1--13 (2014; Zbl 1316.60067) Full Text: DOI arXiv
Aldous, David Book review of: G. Grimmett, Probability on graphs. Random processes on graphs and lattices. (English) Zbl 1275.00009 Bull. Am. Math. Soc., New Ser. 51, No. 1, 173-175 (2014). MSC: 00A17 60-02 60G50 60K35 60K40 05C80 05C81 82B43 PDFBibTeX XMLCite \textit{D. Aldous}, Bull. Am. Math. Soc., New Ser. 51, No. 1, 173--175 (2014; Zbl 1275.00009) Full Text: DOI
Mcdiarmid, Colin Random graphs from a weighted minor-closed class. (English) Zbl 1295.05212 Electron. J. Comb. 20, No. 2, Research Paper P52, 39 p. (2013). MSC: 05C80 05C30 PDFBibTeX XMLCite \textit{C. Mcdiarmid}, Electron. J. Comb. 20, No. 2, Research Paper P52, 39 p. (2013; Zbl 1295.05212) Full Text: arXiv Link
Dembo, Amir; Montanari, Andrea; Sun, Nike Factor models on locally tree-like graphs. (English) Zbl 1280.05119 Ann. Probab. 41, No. 6, 4162-4213 (2013). MSC: 05C80 05C05 60K35 82B20 82B23 PDFBibTeX XMLCite \textit{A. Dembo} et al., Ann. Probab. 41, No. 6, 4162--4213 (2013; Zbl 1280.05119) Full Text: DOI arXiv
Janson, Svante Simply generated trees, conditioned Galton-Watson trees, random allocations and condensation. (English) Zbl 1244.60013 Probab. Surv. 9, 103-252 (2012). MSC: 60C05 05C05 60F05 60J80 PDFBibTeX XMLCite \textit{S. Janson}, Probab. Surv. 9, 103--252 (2012; Zbl 1244.60013) Full Text: DOI arXiv Euclid
Bordewich, Magnus; Kang, Ross J. Rapid mixing of subset Glauber dynamics on graphs of bounded tree-width. (English) Zbl 1333.68288 Aceto, Luca (ed.) et al., Automata, languages and programming. 38th international colloquium, ICALP 2011, Zurich, Switzerland, July 4–8, 2011. Proceedings, Part I. Berlin: Springer (ISBN 978-3-642-22005-0/pbk). Lecture Notes in Computer Science 6755, 533-544 (2011). MSC: 68W20 05C31 60J10 68Q25 68W25 PDFBibTeX XMLCite \textit{M. Bordewich} and \textit{R. J. Kang}, Lect. Notes Comput. Sci. 6755, 533--544 (2011; Zbl 1333.68288) Full Text: DOI arXiv Link
Grimmett, Geoffrey; Janson, Svante Random graphs with forbidden vertex degrees. (English) Zbl 1209.05224 Random Struct. Algorithms 37, No. 2, 137-175 (2010). MSC: 05C80 05C35 05C07 PDFBibTeX XMLCite \textit{G. Grimmett} and \textit{S. Janson}, Random Struct. Algorithms 37, No. 2, 137--175 (2010; Zbl 1209.05224) Full Text: DOI arXiv