Dereudre, David Fully-connected bond percolation on \(\mathbb{Z}^d\). (English) Zbl 07529634 Probab. Theory Relat. Fields 183, No. 1-2, 547-579 (2022). MSC: 60K35 60D05 05C80 82B05 82B26 PDF BibTeX XML Cite \textit{D. Dereudre}, Probab. Theory Relat. Fields 183, No. 1--2, 547--579 (2022; Zbl 07529634) Full Text: DOI OpenURL
Camia, Federico; Jiang, Jianping; Newman, Charles M. Ising model with Curie-Weiss perturbation. (English) Zbl 07529318 J. Stat. Phys. 188, No. 1, Paper No. 5, 23 p. (2022). MSC: 82B20 82B27 82D40 60K35 PDF BibTeX XML Cite \textit{F. Camia} et al., J. Stat. Phys. 188, No. 1, Paper No. 5, 23 p. (2022; Zbl 07529318) Full Text: DOI OpenURL
Hilário, Marcelo; Ungaretti, Daniel A note on the phase transition for independent alignment percolation. (English) Zbl 07526590 Bernoulli 28, No. 2, 1432-1447 (2022). MSC: 60Kxx 82Bxx 60Gxx PDF BibTeX XML Cite \textit{M. Hilário} and \textit{D. Ungaretti}, Bernoulli 28, No. 2, 1432--1447 (2022; Zbl 07526590) Full Text: DOI Link OpenURL
Harel, Matan; Spinka, Yinon Finitary codings for the random-cluster model and other infinite-range monotone models. (English) Zbl 07524199 Electron. J. Probab. 27, Paper No. 51, 32 p. (2022). MSC: 28D99 60K35 82B20 82B26 37A60 PDF BibTeX XML Cite \textit{M. Harel} and \textit{Y. Spinka}, Electron. J. Probab. 27, Paper No. 51, 32 p. (2022; Zbl 07524199) Full Text: DOI OpenURL
Blanca, Antonio; Caputo, Pietro; Parisi, Daniel; Sinclair, Alistair; Vigoda, Eric Entropy decay in the Swendsen-Wang dynamics on \(\mathbb{Z}^d\). (English) Zbl 07522868 Ann. Appl. Probab. 32, No. 2, 1018-1057 (2022). MSC: 60J10 82B20 68Q87 PDF BibTeX XML Cite \textit{A. Blanca} et al., Ann. Appl. Probab. 32, No. 2, 1018--1057 (2022; Zbl 07522868) Full Text: DOI OpenURL
Forsström, Malin P. Color representations of Ising models. (English) Zbl 07491648 J. Theor. Probab. 35, No. 1, 603-635 (2022). MSC: 60K35 82C43 PDF BibTeX XML Cite \textit{M. P. Forsström}, J. Theor. Probab. 35, No. 1, 603--635 (2022; Zbl 07491648) Full Text: DOI arXiv OpenURL
Mukherjee, Rajarshi; Ray, Gourab On testing for parameters in Ising models. (English) Zbl 07481299 Ann. Inst. Henri Poincaré, Probab. Stat. 58, No. 1, 164-187 (2022). MSC: 62C20 62G10 62G20 PDF BibTeX XML Cite \textit{R. Mukherjee} and \textit{G. Ray}, Ann. Inst. Henri Poincaré, Probab. Stat. 58, No. 1, 164--187 (2022; Zbl 07481299) Full Text: DOI arXiv OpenURL
Blanca, Antonio; Chen, Zongchen; Štefankovič, Daniel; Vigoda, Eric Hardness of identity testing for restricted Boltzmann machines and Potts models. (English) Zbl 07415095 J. Mach. Learn. Res. 22, Paper No. 152, 56 p. (2021). MSC: 68T05 PDF BibTeX XML Cite \textit{A. Blanca} et al., J. Mach. Learn. Res. 22, Paper No. 152, 56 p. (2021; Zbl 07415095) Full Text: arXiv Link OpenURL
Glazman, Alexander; Manolescu, Ioan Exponential decay in the loop \(O(n)\) model on the hexagonal lattice for \(n > 1\) and \(x<\frac{1}{\sqrt{3}}+\varepsilon (n)\). (English) Zbl 1469.60330 Vares, Maria Eulália (ed.) et al., In and out of equilibrium 3: celebrating Vladas Sidoravicius. Cham: Birkhäuser. Prog. Probab. 77, 455-470 (2021). MSC: 60K35 82B20 PDF BibTeX XML Cite \textit{A. Glazman} and \textit{I. Manolescu}, Prog. Probab. 77, 455--470 (2021; Zbl 1469.60330) Full Text: DOI arXiv OpenURL
D’Autilia, Roberto; Andrianaivo, Louis Nantenaina; Troiani, Alessio Parallel simulation of two-dimensional Ising models using probabilistic cellular automata. (English) Zbl 1479.82036 J. Stat. Phys. 184, No. 1, Paper No. 9, 22 p. (2021). MSC: 82C20 82B20 82C26 82C44 60J27 65C40 65Y10 PDF BibTeX XML Cite \textit{R. D'Autilia} et al., J. Stat. Phys. 184, No. 1, Paper No. 9, 22 p. (2021; Zbl 1479.82036) Full Text: DOI arXiv OpenURL
Andres, Sebastian; Halberstam, Noah Lower Gaussian heat kernel bounds for the random conductance model in a degenerate ergodic environment. (English) Zbl 1477.60119 Stochastic Processes Appl. 139, 212-228 (2021). Reviewer: Nasir N. Ganikhodjaev (Tashkent) MSC: 60J35 60K37 82C41 PDF BibTeX XML Cite \textit{S. Andres} and \textit{N. Halberstam}, Stochastic Processes Appl. 139, 212--228 (2021; Zbl 1477.60119) Full Text: DOI arXiv OpenURL
Aizenman, Michael; Duminil-Copin, Hugo Marginal triviality of the scaling limits of critical 4D Ising and \(\phi_4^4\) models. (English) Zbl 07375202 Ann. Math. (2) 194, No. 1, 163-235 (2021). Reviewer: Haru Pinson (Tucson) MSC: 60K35 82B20 82B27 60G60 PDF BibTeX XML Cite \textit{M. Aizenman} and \textit{H. Duminil-Copin}, Ann. Math. (2) 194, No. 1, 163--235 (2021; Zbl 07375202) Full Text: DOI arXiv OpenURL
Ganguly, Shirshendu; Gheissari, Reza Local and global geometry of the 2D Ising interface in critical prewetting. (English) Zbl 1484.60109 Ann. Probab. 49, No. 4, 2076-2140 (2021). Reviewer: Artem Sapozhnikov (Leipzig) MSC: 60K35 82B24 82B20 82B41 PDF BibTeX XML Cite \textit{S. Ganguly} and \textit{R. Gheissari}, Ann. Probab. 49, No. 4, 2076--2140 (2021; Zbl 1484.60109) Full Text: DOI arXiv OpenURL
Forien, Nicolas A planar Ising model of self-organized criticality. (English) Zbl 1467.82014 Probab. Theory Relat. Fields 180, No. 1-2, 163-198 (2021). MSC: 82B20 82B27 82B43 60K35 82D40 PDF BibTeX XML Cite \textit{N. Forien}, Probab. Theory Relat. Fields 180, No. 1--2, 163--198 (2021; Zbl 1467.82014) Full Text: DOI arXiv HAL OpenURL
Duminil-Copin, Hugo; Glazman, Alexander; Peled, Ron; Spinka, Yinon Macroscopic loops in the loop \(O(n)\) model at Nienhuis’ critical point. (English) Zbl 1477.60137 J. Eur. Math. Soc. (JEMS) 23, No. 1, 315-347 (2021). Reviewer: Arnaud Le Ny (Paris) MSC: 60K35 82B20 82B27 PDF BibTeX XML Cite \textit{H. Duminil-Copin} et al., J. Eur. Math. Soc. (JEMS) 23, No. 1, 315--347 (2021; Zbl 1477.60137) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{R. Bauerschmidt} et al., Commun. Math. Phys. 381, No. 3, 1223--1261 (2021; Zbl 1470.60270) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{A. Glazman} and \textit{I. Manolescu}, Commun. Math. Phys. 381, No. 3, 1153--1221 (2021; Zbl 1470.60278) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{H. Duminil-Copin} et al., Duke Math. J. 169, No. 18, 3539--3563 (2020; Zbl 1470.60275) Full Text: DOI arXiv Euclid OpenURL
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 PDF BibTeX XML Cite \textit{P. Brändén} and \textit{J. Huh}, Ann. Math. (2) 192, No. 3, 821--891 (2020; Zbl 1454.52013) Full Text: DOI arXiv OpenURL
Spinka, Yinon Finitary codings for spatial mixing Markov random fields. (English) Zbl 1457.60134 Ann. Probab. 48, No. 3, 1557-1591 (2020). Reviewer: Oleg K. Zakusilo (Kyïv) MSC: 60J99 60G10 37A60 82B20 60K35 28D99 PDF BibTeX XML Cite \textit{Y. Spinka}, Ann. Probab. 48, No. 3, 1557--1591 (2020; Zbl 1457.60134) Full Text: DOI arXiv Euclid OpenURL
Benoist, Stéphane; Dumaz, Laure; Werner, Wendelin Near-critical spanning forests and renormalization. (English) Zbl 07224966 Ann. Probab. 48, No. 4, 1980-2013 (2020). MSC: 60K35 60J67 82B20 82B26 82B28 PDF BibTeX XML Cite \textit{S. Benoist} et al., Ann. Probab. 48, No. 4, 1980--2013 (2020; Zbl 07224966) Full Text: DOI arXiv Euclid OpenURL
Biskup, Marek Extrema of the two-dimensional discrete Gaussian free field. (English) Zbl 1443.60036 Barlow, Martin T. (ed.) et al., Random graphs, phase transitions, and the Gaussian free field. Lecture notes given at the PIMS-CRM summer school in probability, University of British Columbia, Vancouver, Canada, June 5–30, 2017. Cham: Springer. Springer Proc. Math. Stat. 304, 163-407 (2020). MSC: 60G15 60K35 60G60 60G70 60J65 PDF BibTeX XML Cite \textit{M. Biskup}, Springer Proc. Math. Stat. 304, 163--407 (2020; Zbl 1443.60036) Full Text: DOI arXiv OpenURL
Duminil-Copin, Hugo Lectures on the Ising and Potts models on the hypercubic lattice. (English) Zbl 1447.82007 Barlow, Martin T. (ed.) et al., Random graphs, phase transitions, and the Gaussian free field. Lecture notes given at the PIMS-CRM summer school in probability, University of British Columbia, Vancouver, Canada, June 5–30, 2017. Cham: Springer. Springer Proc. Math. Stat. 304, 35-161 (2020). MSC: 82B20 82B26 82B43 82B41 60K35 60J67 PDF BibTeX XML Cite \textit{H. Duminil-Copin}, Springer Proc. Math. Stat. 304, 35--161 (2020; Zbl 1447.82007) Full Text: DOI arXiv OpenURL
Last, Günter; Szekli, Ryszard; Yogeshwaran, Dhandapani Some remarks on associated random fields, random measures and point processes. (English) Zbl 1443.60048 ALEA, Lat. Am. J. Probab. Math. Stat. 17, No. 1, 355-374 (2020). MSC: 60G57 60E15 PDF BibTeX XML Cite \textit{G. Last} et al., ALEA, Lat. Am. J. Probab. Math. Stat. 17, No. 1, 355--374 (2020; Zbl 1443.60048) Full Text: arXiv Link OpenURL
Spinka, Yinon Finitary coding for the sub-critical Ising model with finite expected coding volume. (English) Zbl 1441.60088 Electron. J. Probab. 25, Paper No. 8, 27 p. (2020). MSC: 60K35 82B20 82B26 37A60 PDF BibTeX XML Cite \textit{Y. Spinka}, Electron. J. Probab. 25, Paper No. 8, 27 p. (2020; Zbl 1441.60088) Full Text: DOI arXiv Euclid OpenURL
Blanca, Antonio; Gheissari, Reza; Vigoda, Eric Random-cluster dynamics in \(\mathbb{Z}^2\): rapid mixing with general boundary conditions. (English) Zbl 1434.60273 Ann. Appl. Probab. 30, No. 1, 418-459 (2020). MSC: 60K35 82B20 82C20 PDF BibTeX XML Cite \textit{A. Blanca} et al., Ann. Appl. Probab. 30, No. 1, 418--459 (2020; Zbl 1434.60273) Full Text: DOI arXiv Euclid OpenURL
Raoufi, Aran Translation-invariant Gibbs states of the Ising model: general setting. (English) Zbl 1434.82026 Ann. Probab. 48, No. 2, 760-777 (2020). MSC: 82B20 PDF BibTeX XML Cite \textit{A. Raoufi}, Ann. Probab. 48, No. 2, 760--777 (2020; Zbl 1434.82026) Full Text: DOI arXiv Euclid OpenURL
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 PDF BibTeX XML Cite \textit{A. Blanca} et al., SIAM J. Discrete Math. 34, No. 1, 742--793 (2020; Zbl 1436.82004) Full Text: DOI OpenURL
Daum, Sebastian; Kuhn, Fabian; Maus, Yannic Rumor spreading with bounded in-degree. (English) Zbl 1432.68017 Theor. Comput. Sci. 810, 43-57 (2020). MSC: 68M12 68M10 68R10 PDF BibTeX XML Cite \textit{S. Daum} et al., Theor. Comput. Sci. 810, 43--57 (2020; Zbl 1432.68017) Full Text: DOI arXiv OpenURL
Camia, Federico; Jiang, Jianping; Newman, Charles M. FK-Ising coupling applied to near-critical planar models. (English) Zbl 1475.82002 Stochastic Processes Appl. 130, No. 2, 560-583 (2020). MSC: 82B20 60K35 82B27 82D40 PDF BibTeX XML Cite \textit{F. Camia} et al., Stochastic Processes Appl. 130, No. 2, 560--583 (2020; Zbl 1475.82002) Full Text: DOI arXiv OpenURL
Bogachev, Leonid V.; Rozikov, Utkir A. On the uniqueness of Gibbs measure in the Potts model on a Cayley tree with external field. (English) Zbl 1457.82114 J. Stat. Mech. Theory Exp. 2019, No. 7, Article ID 073205, 76 p. (2019). MSC: 82B26 82B05 82B20 60K35 PDF BibTeX XML Cite \textit{L. V. Bogachev} and \textit{U. A. Rozikov}, J. Stat. Mech. Theory Exp. 2019, No. 7, Article ID 073205, 76 p. (2019; Zbl 1457.82114) Full Text: DOI arXiv Link OpenURL
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 PDF BibTeX XML Cite \textit{A. Gandolfi}, Springer Proc. Math. Stat. 299, 186--207 (2019; Zbl 1446.82009) Full Text: DOI arXiv OpenURL
Duminil-Copin, Hugo; Tassion, Vincent A note on Schramm’s locality conjecture for random-cluster models. (English) Zbl 1446.82006 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, 123-134 (2019). MSC: 82B20 82B26 82B27 82B43 60K35 PDF BibTeX XML Cite \textit{H. Duminil-Copin} and \textit{V. Tassion}, Springer Proc. Math. Stat. 299, 123--134 (2019; Zbl 1446.82006) Full Text: DOI arXiv OpenURL
Camia, Federico; Conijn, René; Kiss, Demeter Conformal measure ensembles for percolation and the FK-Ising model. (English) Zbl 1446.82033 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, 44-89 (2019). MSC: 82B43 82B20 82B27 60K35 PDF BibTeX XML Cite \textit{F. Camia} et al., Springer Proc. Math. Stat. 299, 44--89 (2019; Zbl 1446.82033) 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
Lawler, Gregory; Sun, Xin; Wu, Wei Four-dimensional loop-erased random walk. (English) Zbl 1458.60054 Ann. Probab. 47, No. 6, 3866-3910 (2019). MSC: 60G50 60K35 PDF BibTeX XML Cite \textit{G. Lawler} et al., Ann. Probab. 47, No. 6, 3866--3910 (2019; Zbl 1458.60054) Full Text: DOI arXiv Euclid OpenURL
Nam, Danny; Sly, Allan Cutoff for the Swendsen-Wang dynamics on the lattice. (English) Zbl 1454.60111 Ann. Probab. 47, No. 6, 3705-3761 (2019). MSC: 60J10 82C20 60K35 60B10 PDF BibTeX XML Cite \textit{D. Nam} and \textit{A. Sly}, Ann. Probab. 47, No. 6, 3705--3761 (2019; Zbl 1454.60111) Full Text: DOI arXiv Euclid OpenURL
Grimmett, Geoffrey R. On influence and compromise in two-tier voting systems. (English) Zbl 1426.91095 Math. Soc. Sci. 100, 35-45 (2019). MSC: 91B12 PDF BibTeX XML Cite \textit{G. R. Grimmett}, Math. Soc. Sci. 100, 35--45 (2019; Zbl 1426.91095) Full Text: DOI arXiv OpenURL
Benoist, Stéphane; Hongler, Clément The scaling limit of critical Ising interfaces is \(\mathrm{CLE}_3\). (English) Zbl 1467.60061 Ann. Probab. 47, No. 4, 2049-2086 (2019). MSC: 60J67 82B20 82B27 60K35 PDF BibTeX XML Cite \textit{S. Benoist} and \textit{C. Hongler}, Ann. Probab. 47, No. 4, 2049--2086 (2019; Zbl 1467.60061) Full Text: DOI arXiv Euclid OpenURL
Hofer-Temmel, Christoph; Houdebert, Pierre Disagreement percolation for Gibbs ball models. (English) Zbl 1426.82016 Stochastic Processes Appl. 129, No. 10, 3922-3940 (2019). MSC: 82B21 60E15 60K35 60G55 82B43 60D05 82B26 PDF BibTeX XML Cite \textit{C. Hofer-Temmel} and \textit{P. Houdebert}, Stochastic Processes Appl. 129, No. 10, 3922--3940 (2019; Zbl 1426.82016) Full Text: DOI arXiv OpenURL
Aizenman, Michael; Duminil-Copin, Hugo; Tassion, Vincent; Warzel, Simone Emergent planarity in two-dimensional Ising models with finite-range interactions. (English) Zbl 1417.82022 Invent. Math. 216, No. 3, 661-743 (2019). MSC: 82C20 82C22 82C44 58A17 PDF BibTeX XML Cite \textit{M. Aizenman} et al., Invent. Math. 216, No. 3, 661--743 (2019; Zbl 1417.82022) Full Text: DOI arXiv OpenURL
Gheissari, Reza; Hongler, Clément; Park, S. C. Ising model: local spin correlations and conformal invariance. (English) Zbl 1419.82012 Commun. Math. Phys. 367, No. 3, 771-833 (2019); correction ibid. 367, No. 3, 835 (2019). Reviewer: Hasan Akin (Gaziantep) MSC: 82B20 81T40 82B26 82B27 PDF BibTeX XML Cite \textit{R. Gheissari} et al., Commun. Math. Phys. 367, No. 3, 771--833 (2019; Zbl 1419.82012) Full Text: DOI arXiv OpenURL
Duminil-Copin, Hugo Sharp threshold phenomena in statistical physics. (English) Zbl 1420.82003 Jpn. J. Math. (3) 14, No. 1, 1-25 (2019). Reviewer: Stein Andreas Bethuelsen (Stavanger) MSC: 82B43 82B27 82B26 15B52 PDF BibTeX XML Cite \textit{H. Duminil-Copin}, Jpn. J. Math. (3) 14, No. 1, 1--25 (2019; Zbl 1420.82003) Full Text: DOI arXiv OpenURL
Duminil-Copin, Hugo; Raoufi, Aran; Tassion, Vincent Sharp phase transition for the random-cluster and Potts models via decision trees. (English) Zbl 1482.82009 Ann. Math. (2) 189, No. 1, 75-99 (2019). Reviewer: A. C. D. van Enter (Groningen) MSC: 82B20 82B43 60K35 PDF BibTeX XML Cite \textit{H. Duminil-Copin} et al., Ann. Math. (2) 189, No. 1, 75--99 (2019; Zbl 1482.82009) Full Text: DOI arXiv OpenURL
Ben Alì Zinati, Riccardo; Codello, Alessandro Functional RG approach to the Potts model. (English) Zbl 1459.82031 J. Stat. Mech. Theory Exp. 2018, No. 1, Article ID 013206, 32 p. (2018). MSC: 82B20 82B28 PDF BibTeX XML Cite \textit{R. Ben Alì Zinati} and \textit{A. Codello}, J. Stat. Mech. Theory Exp. 2018, No. 1, Article ID 013206, 32 p. (2018; Zbl 1459.82031) Full Text: DOI arXiv Link OpenURL
Houdebert, Pierre Percolation results for the continuum random cluster model. (English) Zbl 1431.60013 Adv. Appl. Probab. 50, No. 1, 231-244 (2018). MSC: 60D05 60G10 60G55 60G57 60G60 60K35 82B21 82B26 82B43 PDF BibTeX XML Cite \textit{P. Houdebert}, Adv. Appl. Probab. 50, No. 1, 231--244 (2018; Zbl 1431.60013) Full Text: DOI arXiv OpenURL
Raoufi, Aran The critical Ising model on amenable graphs of exponential growth. (English) Zbl 1428.82015 Enseign. Math. (2) 64, No. 3-4, 305-314 (2018). MSC: 82B20 60K35 82B26 82B43 PDF BibTeX XML Cite \textit{A. Raoufi}, Enseign. Math. (2) 64, No. 3--4, 305--314 (2018; Zbl 1428.82015) Full Text: DOI OpenURL
Aizenman, Michael; Warzel, Simone Kac-Ward formula and its extension to order-disorder correlators through a graph zeta function. (English) Zbl 1405.82006 J. Stat. Phys. 173, No. 6, 1755-1778 (2018). MSC: 82B20 82B44 82D30 PDF BibTeX XML Cite \textit{M. Aizenman} and \textit{S. Warzel}, J. Stat. Phys. 173, No. 6, 1755--1778 (2018; Zbl 1405.82006) Full Text: DOI arXiv OpenURL
Járai, Antal A. Sandpile models. (English) Zbl 1409.60144 Probab. Surv. 15, 243-306 (2018). MSC: 60K35 82B20 PDF BibTeX XML Cite \textit{A. A. Járai}, Probab. Surv. 15, 243--306 (2018; Zbl 1409.60144) Full Text: DOI arXiv Euclid OpenURL
Miller, Jason; Werner, Wendelin Connection probabilities for conformal loop ensembles. (English) Zbl 1400.60128 Commun. Math. Phys. 362, No. 2, 415-453 (2018). Reviewer: Oleg K. Zakusilo (Kyïv) MSC: 60K35 60J67 82B43 PDF BibTeX XML Cite \textit{J. Miller} and \textit{W. Werner}, Commun. Math. Phys. 362, No. 2, 415--453 (2018; Zbl 1400.60128) Full Text: DOI arXiv OpenURL
Manolescu, Ioan; Raoufiï, Aran The phase transitions of the random-cluster and Potts models on slabs with \(q \geq 1\) are sharp. (English) Zbl 1410.60096 Electron. J. Probab. 23, Paper No. 63, 25 p. (2018). MSC: 60K35 PDF BibTeX XML Cite \textit{I. Manolescu} and \textit{A. Raoufiï}, Electron. J. Probab. 23, Paper No. 63, 25 p. (2018; Zbl 1410.60096) Full Text: DOI arXiv Euclid OpenURL
Goldstein, Larry; Wiroonsri, Nathakhun Stein’s method for positively associated random variables with applications to the Ising and voter models, bond percolation, and contact process. (English. French summary) Zbl 1393.60030 Ann. Inst. Henri Poincaré, Probab. Stat. 54, No. 1, 385-421 (2018). MSC: 60F05 82B30 60G60 PDF BibTeX XML Cite \textit{L. Goldstein} and \textit{N. Wiroonsri}, Ann. Inst. Henri Poincaré, Probab. Stat. 54, No. 1, 385--421 (2018; Zbl 1393.60030) Full Text: DOI arXiv OpenURL
Berger, Noam; Mukherjee, Chiranjib; Okamura, Kazuki Quenched large deviations for simple random walks on percolation clusters including long-range correlations. (English) Zbl 1391.82026 Commun. Math. Phys. 358, No. 2, 633-673 (2018). Reviewer: E. Ahmed (Mansoura) MSC: 82B41 82B43 60K35 60F10 82B27 PDF BibTeX XML Cite \textit{N. Berger} et al., Commun. Math. Phys. 358, No. 2, 633--673 (2018; Zbl 1391.82026) Full Text: DOI arXiv OpenURL
Collevecchio, Andrea; Elçi, Eren Metin; Garoni, Timothy M.; Weigel, Martin On the coupling time of the heat-bath process for the Fortuin-Kasteleyn random-cluster model. (English) Zbl 1428.82008 J. Stat. Phys. 170, No. 1, 22-61 (2018). MSC: 82B20 82M31 60J22 65C05 65C40 60K35 PDF BibTeX XML Cite \textit{A. Collevecchio} et al., J. Stat. Phys. 170, No. 1, 22--61 (2018; Zbl 1428.82008) Full Text: DOI arXiv OpenURL
Levine, Lionel; Peres, Yuval Laplacian growth, sandpiles, and scaling limits. (English) Zbl 1451.37013 Bull. Am. Math. Soc., New Ser. 54, No. 3, 355-382 (2017). MSC: 37A50 37A60 31C20 35R02 35R35 60G50 60K35 82C24 PDF BibTeX XML Cite \textit{L. Levine} and \textit{Y. Peres}, Bull. Am. Math. Soc., New Ser. 54, No. 3, 355--382 (2017; Zbl 1451.37013) Full Text: DOI arXiv OpenURL
Miller, Jason; Sheffield, Scott; Werner, Wendelin CLE percolations. (English) Zbl 1390.60356 Forum Math. Pi 5, Paper No. e4, 102 p. (2017). MSC: 60K35 60J67 81T40 82B43 PDF BibTeX XML Cite \textit{J. Miller} et al., Forum Math. Pi 5, Paper No. e4, 102 p. (2017; Zbl 1390.60356) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{G. R. Grimmett} and \textit{Z. Li}, Contemp. Math. 696, 139--152 (2017; Zbl 1390.82013) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{V. H. Can}, J. Stat. Phys. 169, No. 3, 480--503 (2017; Zbl 1382.82007) Full Text: DOI arXiv OpenURL
Mao, Cheng; Zhou, Tianyou Inventory accumulation with multiple products. (English) Zbl 1386.60124 ALEA, Lat. Am. J. Probab. Math. Stat. 14, No. 2, 947-965 (2017). MSC: 60F17 60G50 PDF BibTeX XML Cite \textit{C. Mao} and \textit{T. Zhou}, ALEA, Lat. Am. J. Probab. Math. Stat. 14, No. 2, 947--965 (2017; Zbl 1386.60124) Full Text: arXiv Link OpenURL
Cerda Hernández, J. Potts model coupled to random causal triangulations. (English) Zbl 1386.82009 J. Math. Phys. 58, No. 12, 123303, 21 p. (2017). MSC: 82B20 82B30 32B25 PDF BibTeX XML Cite \textit{J. Cerda Hernández}, J. Math. Phys. 58, No. 12, 123303, 21 p. (2017; Zbl 1386.82009) Full Text: DOI arXiv OpenURL
Rodriguez, Pierre-François A 0-1 law for the massive Gaussian free field. (English) Zbl 1386.60140 Probab. Theory Relat. Fields 169, No. 3-4, 901-930 (2017). MSC: 60G15 60G60 60K35 82B26 82B27 82B41 82B43 60F20 PDF BibTeX XML Cite \textit{P.-F. Rodriguez}, Probab. Theory Relat. Fields 169, No. 3--4, 901--930 (2017; Zbl 1386.60140) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{J. B. Geloun} and \textit{F. Caravelli}, J. Stat. Phys. 168, No. 5, 1105--1124 (2017; Zbl 1373.82019) Full Text: DOI arXiv OpenURL
Berestycki, Nathanaël; Laslier, Benoît; Ray, Gourab Critical exponents on Fortuin-Kasteleyn weighted planar maps. (English) Zbl 1412.60022 Commun. Math. Phys. 355, No. 2, 427-462 (2017). MSC: 60D05 60J67 60K40 PDF BibTeX XML Cite \textit{N. Berestycki} et al., Commun. Math. Phys. 355, No. 2, 427--462 (2017; Zbl 1412.60022) Full Text: DOI arXiv OpenURL
Blanca, Antonio; Sinclair, Alistair Random-cluster dynamics in \(\mathbb {Z}^2\). (English) Zbl 1369.60067 Probab. Theory Relat. Fields 168, No. 3-4, 821-847 (2017). MSC: 60K35 60J10 82B20 PDF BibTeX XML Cite \textit{A. Blanca} and \textit{A. Sinclair}, Probab. Theory Relat. Fields 168, No. 3--4, 821--847 (2017; Zbl 1369.60067) Full Text: DOI OpenURL
Flores, S. M.; Simmons, J. J. H.; Kleban, P.; Ziff, R. M. A formula for crossing probabilities of critical systems inside polygons. (English) Zbl 1360.82018 J. Phys. A, Math. Theor. 50, No. 6, Article ID 064005, 91 p. (2017). MSC: 82B20 82B43 60J67 82B27 81T40 PDF BibTeX XML Cite \textit{S. M. Flores} et al., J. Phys. A, Math. Theor. 50, No. 6, Article ID 064005, 91 p. (2017; Zbl 1360.82018) Full Text: DOI arXiv Link OpenURL
Duminil-Copin, Hugo; Peled, Ron; Samotij, Wojciech; Spinka, Yinon Exponential decay of loop lengths in the loop \(\mathrm{O}(n)\) model with large \(n\). (English) Zbl 1359.82007 Commun. Math. Phys. 349, No. 3, 777-817 (2017). MSC: 82B20 82B44 82B26 PDF BibTeX XML Cite \textit{H. Duminil-Copin} et al., Commun. Math. Phys. 349, No. 3, 777--817 (2017; Zbl 1359.82007) Full Text: DOI arXiv OpenURL
Caravenna, Francesco; Sun, Rongfeng; Zygouras, Nikos Polynomial chaos and scaling limits of disordered systems. (English) Zbl 1364.82026 J. Eur. Math. Soc. (JEMS) 19, No. 1, 1-65 (2017). Reviewer: Guy Jumarie (Montréal) MSC: 82B44 82D60 60K35 82B20 82B26 PDF BibTeX XML Cite \textit{F. Caravenna} et al., J. Eur. Math. Soc. (JEMS) 19, No. 1, 1--65 (2017; Zbl 1364.82026) Full Text: DOI arXiv OpenURL
Duminil-Copin, Hugo; Sidoravicius, Vladas; Tassion, Vincent Continuity of the phase transition for planar random-cluster and Potts models with \({1 \leq q \leq 4}\). (English) Zbl 1357.82011 Commun. Math. Phys. 349, No. 1, 47-107 (2017). MSC: 82B20 60K35 82B26 82D40 82B27 PDF BibTeX XML Cite \textit{H. Duminil-Copin} et al., Commun. Math. Phys. 349, No. 1, 47--107 (2017; Zbl 1357.82011) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{H. Cai}, Stat. Probab. Lett. 121, 54--60 (2017; Zbl 1417.05191) Full Text: DOI arXiv OpenURL
Beffara, Vincent; Duminil-Copin, Hugo Critical point and duality in planar lattice models. (English) Zbl 1391.82006 Sidoravicius, V. (ed.) et al., Probability and statistical physics in St. Petersburg. St. Petersburg School Probability and Statistical Physics, St. Petersburg State University, St. Petersburg, Russia, June 18–29, 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2248-6/hbk; 978-1-4704-2883-9/ebook). Proceedings of Symposia in Pure Mathematics 91, 51-98 (2016). MSC: 82B20 82B27 82B26 82D40 82B43 60K35 PDF BibTeX XML Cite \textit{V. Beffara} and \textit{H. Duminil-Copin}, Proc. Symp. Pure Math. 91, 51--98 (2016; Zbl 1391.82006) OpenURL
Collevecchio, Andrea; Garoni, Timothy M.; Hyndman, Timothy; Tokarev, Daniel The worm process for the Ising model is rapidly mixing. (English) Zbl 1362.82006 J. Stat. Phys. 164, No. 5, 1082-1102 (2016). Reviewer: Golibjon Isroilovich Botirov (Bukhara) MSC: 82B20 82D40 65C40 82B80 60J22 PDF BibTeX XML Cite \textit{A. Collevecchio} et al., J. Stat. Phys. 164, No. 5, 1082--1102 (2016; Zbl 1362.82006) Full Text: DOI arXiv OpenURL
Cioletti, Leandro; Vila, Roberto Graphical representations for Ising and Potts models in general external fields. (English) Zbl 1336.82001 J. Stat. Phys. 162, No. 1, 81-122 (2016). MSC: 82B20 82D40 PDF BibTeX XML Cite \textit{L. Cioletti} and \textit{R. Vila}, J. Stat. Phys. 162, No. 1, 81--122 (2016; Zbl 1336.82001) Full Text: DOI arXiv OpenURL
Adams, Stefan; Briceño, Raimundo; Marcus, Brian; Pavlov, Ronnie Representation and poly-time approximation for pressure of \(\mathbb Z^2\) lattice models in the non-uniqueness region. (English) Zbl 1341.82009 J. Stat. Phys. 162, No. 4, 1031-1067 (2016). MSC: 82B20 37D35 37B10 68W25 PDF BibTeX XML Cite \textit{S. Adams} et al., J. Stat. Phys. 162, No. 4, 1031--1067 (2016; Zbl 1341.82009) Full Text: DOI arXiv OpenURL
Duminil-Copin, Hugo; Manolescu, Ioan The phase transitions of the planar random-cluster and Potts models with \(q \geq 1\) are sharp. (English) Zbl 1356.60167 Probab. Theory Relat. Fields 164, No. 3-4, 865-892 (2016). Reviewer: Golibjon Isroilovich Botirov (Bukhara) MSC: 60K35 82B20 82B43 PDF BibTeX XML Cite \textit{H. Duminil-Copin} and \textit{I. Manolescu}, Probab. Theory Relat. Fields 164, No. 3--4, 865--892 (2016; Zbl 1356.60167) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{G. R. Grimmett} and \textit{Z. Li}, Combinatorica 35, No. 3, 279--294 (2015; Zbl 1374.05123) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Montanari, Andrea Computational implications of reducing data to sufficient statistics. (English) Zbl 1336.62037 Electron. J. Stat. 9, No. 2, 2370-2390 (2015). MSC: 62B05 68Q17 62A09 PDF BibTeX XML Cite \textit{A. Montanari}, Electron. J. Stat. 9, No. 2, 2370--2390 (2015; Zbl 1336.62037) Full Text: DOI arXiv Euclid OpenURL
Armendáriz, Inés; Ferrari, Pablo A.; Soprano-Loto, Nahuel Phase transition for the dilute clock model. (English) Zbl 1323.82012 Stochastic Processes Appl. 125, No. 10, 3879-3892 (2015). MSC: 82B26 82B20 82D40 PDF BibTeX XML Cite \textit{I. Armendáriz} et al., Stochastic Processes Appl. 125, No. 10, 3879--3892 (2015; Zbl 1323.82012) Full Text: DOI arXiv Link OpenURL
Coquille, Loren Examples of DLR states which are not weak limits of finite volume Gibbs measures with deterministic boundary conditions. (English) Zbl 1328.82004 J. Stat. Phys. 159, No. 4, 958-971 (2015). MSC: 82B05 82B20 82B26 PDF BibTeX XML Cite \textit{L. Coquille}, J. Stat. Phys. 159, No. 4, 958--971 (2015; Zbl 1328.82004) Full Text: DOI arXiv OpenURL
Chelkak, Dmitry; Hongler, Clément; Izyurov, Konstantin Conformal invariance of spin correlations in the planar Ising model. (English) Zbl 1318.82006 Ann. Math. (2) 181, No. 3, 1087-1138 (2015). MSC: 82B20 82D40 82B27 PDF BibTeX XML Cite \textit{D. Chelkak} et al., Ann. Math. (2) 181, No. 3, 1087--1138 (2015; Zbl 1318.82006) Full Text: DOI arXiv OpenURL
Dubédat, Julien SLE and Virasoro representations: fusion. (English) Zbl 1319.81073 Commun. Math. Phys. 336, No. 2, 761-809 (2015). Reviewer: Piotr Garbaczewski (Opole) MSC: 81T40 22E47 81R10 17B68 60J67 82C24 PDF BibTeX XML Cite \textit{J. Dubédat}, Commun. Math. Phys. 336, No. 2, 761--809 (2015; Zbl 1319.81073) Full Text: DOI arXiv OpenURL
Camia, Federico; Garban, Christophe; Newman, Charles M. The Ising magnetization exponent on \(\mathbb{Z }^2\) is \(1/15\). (English) Zbl 1307.82004 Probab. Theory Relat. Fields 160, No. 1-2, 175-187 (2014). Reviewer: Nasir N. Ganikhodjaev (Kuantan) MSC: 82B20 82B27 60K35 82B43 PDF BibTeX XML Cite \textit{F. Camia} et al., Probab. Theory Relat. Fields 160, No. 1--2, 175--187 (2014; Zbl 1307.82004) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Drewitz, Alexander; Ráth, Balázs; Sapozhnikov, Artëm On chemical distances and shape theorems in percolation models with long-range correlations. (English) Zbl 1301.82027 J. Math. Phys. 55, No. 8, 083307, 30 p. (2014). MSC: 82B43 60K35 82B41 PDF BibTeX XML Cite \textit{A. Drewitz} et al., J. Math. Phys. 55, No. 8, 083307, 30 p. (2014; Zbl 1301.82027) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{L. Levine} and \textit{Y. Peres}, Random Struct. Algorithms 45, No. 1, 1--13 (2014; Zbl 1316.60067) Full Text: DOI arXiv OpenURL
Kotecký, Roman; Sokal, Alan D.; Swart, Jan M. Entropy-driven phase transition in low-temperature antiferromagnetic Potts models. (English) Zbl 1296.82013 Commun. Math. Phys. 330, No. 3, 1339-1394 (2014). MSC: 82B20 82B26 82D40 PDF BibTeX XML Cite \textit{R. Kotecký} et al., Commun. Math. Phys. 330, No. 3, 1339--1394 (2014; Zbl 1296.82013) Full Text: DOI arXiv OpenURL
Grimmett, Geoffrey R.; Manolescu, Ioan Bond percolation on isoradial graphs: criticality and universality. (English) Zbl 1296.60263 Probab. Theory Relat. Fields 159, No. 1-2, 273-327 (2014). Reviewer: Guy Jumarie (Montréal) MSC: 60K35 82B43 PDF BibTeX XML Cite \textit{G. R. Grimmett} and \textit{I. Manolescu}, Probab. Theory Relat. Fields 159, No. 1--2, 273--327 (2014; Zbl 1296.60263) Full Text: DOI arXiv OpenURL
Coquille, Loren; Duminil-Copin, Hugo; Ioffe, Dmitry; Velenik, Yvan On the Gibbs states of the noncritical Potts model on \(\mathbb Z ^2\). (English) Zbl 1288.82008 Probab. Theory Relat. Fields 158, No. 1-2, 477-512 (2014). MSC: 82B20 82B24 60K35 PDF BibTeX XML Cite \textit{L. Coquille} et al., Probab. Theory Relat. Fields 158, No. 1--2, 477--512 (2014; Zbl 1288.82008) Full Text: DOI arXiv OpenURL
Grimmett, Geoffrey R.; Holroyd, Alexander E.; Kozma, Gady Percolation of finite clusters and infinite surfaces. (English) Zbl 1303.60090 Math. Proc. Camb. Philos. Soc. 156, No. 2, 263-279 (2014). Reviewer: Piotr Garbaczewski (Opole) MSC: 60K35 82B43 82B20 PDF BibTeX XML Cite \textit{G. R. Grimmett} et al., Math. Proc. Camb. Philos. Soc. 156, No. 2, 263--279 (2014; Zbl 1303.60090) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{D. Aldous}, Bull. Am. Math. Soc., New Ser. 51, No. 1, 173--175 (2014; Zbl 1275.00009) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{C. Mcdiarmid}, Electron. J. Comb. 20, No. 2, Research Paper P52, 39 p. (2013; Zbl 1295.05212) Full Text: arXiv Link OpenURL
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 PDF BibTeX XML Cite \textit{A. Dembo} et al., Ann. Probab. 41, No. 6, 4162--4213 (2013; Zbl 1280.05119) Full Text: DOI arXiv OpenURL
Hongler, Clément; Smirnov, Stanislav The energy density in the planar Ising model. (English) Zbl 1287.82007 Acta Math. 211, No. 2, 191-225 (2013). Reviewer: Iván Abonyi (Budapest) MSC: 82B20 81T40 PDF BibTeX XML Cite \textit{C. Hongler} and \textit{S. Smirnov}, Acta Math. 211, No. 2, 191--225 (2013; Zbl 1287.82007) Full Text: DOI arXiv OpenURL
Rozikov, Utkir A multi-dimensional-time dynamical system. (English) Zbl 1331.37033 Qual. Theory Dyn. Syst. 12, No. 2, 361-375 (2013). MSC: 37C85 37C25 37C05 91G80 26A18 PDF BibTeX XML Cite \textit{U. Rozikov}, Qual. Theory Dyn. Syst. 12, No. 2, 361--375 (2013; Zbl 1331.37033) Full Text: DOI arXiv OpenURL
van den Berg, J.; Gandolfi, A. BK-type inequalities and generalized random-cluster representations. (English) Zbl 1279.60125 Probab. Theory Relat. Fields 157, No. 1-2, 157-181 (2013). MSC: 60K35 60C05 82B20 PDF BibTeX XML Cite \textit{J. van den Berg} and \textit{A. Gandolfi}, Probab. Theory Relat. Fields 157, No. 1--2, 157--181 (2013; Zbl 1279.60125) Full Text: DOI arXiv OpenURL
Hongler, Clément; Kytölä, Kalle Ising interfaces and free boundary conditions. (English) Zbl 1284.82021 J. Am. Math. Soc. 26, No. 4, 1107-1189 (2013). Reviewer: Utkir Rozikov (Tashkent) MSC: 82B20 60D05 60F17 82B27 60H05 60J67 81T40 PDF BibTeX XML Cite \textit{C. Hongler} and \textit{K. Kytölä}, J. Am. Math. Soc. 26, No. 4, 1107--1189 (2013; Zbl 1284.82021) Full Text: DOI arXiv OpenURL
Bingham, N. H. Szegő’s theorem and its probabilistic descendants. (English) Zbl 1285.60037 Probab. Surv. 9, 287-324 (2012). Reviewer: Ryszard Doman (Poznań) MSC: 60G10 60G25 42C05 PDF BibTeX XML Cite \textit{N. H. Bingham}, Probab. Surv. 9, 287--324 (2012; Zbl 1285.60037) Full Text: DOI arXiv Euclid OpenURL
Cuff, P.; Ding, J.; Louidor, O.; Lubetzky, E.; Peres, Y.; Sly, A. Glauber dynamics for the mean-field Potts model. (English) Zbl 1254.82024 J. Stat. Phys. 149, No. 3, 432-477 (2012). MSC: 82C20 82C27 PDF BibTeX XML Cite \textit{P. Cuff} et al., J. Stat. Phys. 149, No. 3, 432--477 (2012; Zbl 1254.82024) Full Text: DOI arXiv OpenURL
Beffara, Vincent; Duminil-Copin, Hugo The self-dual point of the two-dimensional random-cluster model is critical for \(q \geqslant 1\). (English) Zbl 1257.82014 Probab. Theory Relat. Fields 153, No. 3-4, 511-542 (2012). Reviewer: Nasir N. Ganikhodjaev (Kuantan) MSC: 82B20 82B27 82B26 60K35 82B43 PDF BibTeX XML Cite \textit{V. Beffara} and \textit{H. Duminil-Copin}, Probab. Theory Relat. Fields 153, No. 3--4, 511--542 (2012; Zbl 1257.82014) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{S. Janson}, Probab. Surv. 9, 103--252 (2012; Zbl 1244.60013) Full Text: DOI arXiv Euclid OpenURL