Levine, Lionel; Silvestri, Vittoria Universality conjectures for activated random walk. (English) Zbl 07823103 Probab. Surv. 21, 1-27 (2024). MSC: 60K35 82C22 82C26 82B26 82B27 PDFBibTeX XMLCite \textit{L. Levine} and \textit{V. Silvestri}, Probab. Surv. 21, 1--27 (2024; Zbl 07823103) Full Text: DOI arXiv Link
Cai, Jin-Yi; Fu, Zhiguo; Guo, Heng; Williams, Tyson FKT is not universal – a planar holant dichotomy for symmetric constraints. (English) Zbl 07473209 Theory Comput. Syst. 66, No. 1, 143-308 (2022). MSC: 68Qxx 82Bxx 68Rxx PDFBibTeX XMLCite \textit{J.-Y. Cai} et al., Theory Comput. Syst. 66, No. 1, 143--308 (2022; Zbl 07473209) Full Text: DOI
Galashin, Pavel; Pylyavskyy, Pavlo Ising model and the positive orthogonal Grassmannian. (English) Zbl 1446.82008 Duke Math. J. 169, No. 10, 1877-1942 (2020). MSC: 82B20 14M15 15B48 05C50 PDFBibTeX XMLCite \textit{P. Galashin} and \textit{P. Pylyavskyy}, Duke Math. J. 169, No. 10, 1877--1942 (2020; Zbl 1446.82008) Full Text: DOI arXiv Euclid
Ando, Kazunori; Isozaki, Hiroshi; Morioka, Hisashi Inverse scattering for Schrödinger operators on perturbed lattices. (English) Zbl 1457.81124 Ann. Henri Poincaré 19, No. 11, 3397-3455 (2018); correction ibid. 20, No. 1, 337-338 (2019). MSC: 81U40 81Q10 81Q35 81U20 82D80 PDFBibTeX XMLCite \textit{K. Ando} et al., Ann. Henri Poincaré 19, No. 11, 3397--3455 (2018; Zbl 1457.81124) Full Text: DOI arXiv
Lam, Thomas Electroid varieties and a compactification of the space of electrical networks. (English) Zbl 1396.05105 Adv. Math. 338, 549-600 (2018). MSC: 05C82 05C05 05C10 82B20 90B10 PDFBibTeX XMLCite \textit{T. Lam}, Adv. Math. 338, 549--600 (2018; Zbl 1396.05105) Full Text: DOI arXiv
Engström, Alexander; Kohl, Florian Transfer-matrix methods meet Ehrhart theory. (English) Zbl 1397.82015 Adv. Math. 330, 1-37 (2018). Reviewer: Hasan Akin (Gaziantep) MSC: 82B20 05C15 52B20 52C35 PDFBibTeX XMLCite \textit{A. Engström} and \textit{F. Kohl}, Adv. Math. 330, 1--37 (2018; Zbl 1397.82015) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{A. Collevecchio} et al., J. Stat. Phys. 170, No. 1, 22--61 (2018; Zbl 1428.82008) Full Text: DOI arXiv
Bordewich, Magnus; Greenhill, Catherine; Patel, Viresh Mixing of the Glauber dynamics for the ferromagnetic Potts model. (English) Zbl 1332.60132 Random Struct. Algorithms 48, No. 1, 21-52 (2016). MSC: 60K35 60J10 82C31 PDFBibTeX XMLCite \textit{M. Bordewich} et al., Random Struct. Algorithms 48, No. 1, 21--52 (2016; Zbl 1332.60132) Full Text: DOI arXiv
Kenyon, Richard W.; Wilson, David B. Spanning trees of graphs on surfaces and the intensity of loop-erased random walk on planar graphs. (English) Zbl 1327.60033 J. Am. Math. Soc. 28, No. 4, 985-1030 (2015). MSC: 60C05 82B20 05C05 05C50 PDFBibTeX XMLCite \textit{R. W. Kenyon} and \textit{D. B. Wilson}, J. Am. Math. Soc. 28, No. 4, 985--1030 (2015; Zbl 1327.60033) Full Text: DOI arXiv
Gong, Helin; Jin, Xian’an Potts model partition functions on two families of fractal lattices. (English) Zbl 1395.82046 Physica A 414, 143-153 (2014). MSC: 82B20 PDFBibTeX XMLCite \textit{H. Gong} and \textit{X. Jin}, Physica A 414, 143--153 (2014; Zbl 1395.82046) Full Text: DOI
Iblisdir, S.; Cirio, M.; Boada, O.; Brennen, G. K. Low depth quantum circuits for Ising models. (English) Zbl 1348.81139 Ann. Phys. 340, 205-251 (2014). MSC: 81P45 81P68 82B20 94C99 PDFBibTeX XMLCite \textit{S. Iblisdir} et al., Ann. Phys. 340, 205--251 (2014; Zbl 1348.81139) Full Text: DOI arXiv
Goldberg, Leslie Ann; Jerrum, Mark The complexity of approximately counting tree homomorphisms. (English) Zbl 1321.68312 ACM Trans. Comput. Theory 6, No. 2, Article No. 8, 31 p. (2014). MSC: 68Q25 05C05 68Q15 68R10 82B20 82C20 PDFBibTeX XMLCite \textit{L. A. Goldberg} and \textit{M. Jerrum}, ACM Trans. Comput. Theory 6, No. 2, Article No. 8, 31 p. (2014; Zbl 1321.68312) 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
Marcolli, Matilde; Su, Jessica Arithmetic of Potts model hypersurfaces. (English) Zbl 1266.82017 Int. J. Geom. Methods Mod. Phys. 10, No. 4, Paper No. 1350005, 22 p. (2013). MSC: 82B20 11G25 81T15 PDFBibTeX XMLCite \textit{M. Marcolli} and \textit{J. Su}, Int. J. Geom. Methods Mod. Phys. 10, No. 4, Paper No. 1350005, 22 p. (2013; Zbl 1266.82017) Full Text: DOI arXiv
Kotek, Tomer Complexity of Ising polynomials. (English) Zbl 1247.82011 Comb. Probab. Comput. 21, No. 5, 743-772 (2012). MSC: 82B20 05C31 05C85 05C10 PDFBibTeX XMLCite \textit{T. Kotek}, Comb. Probab. Comput. 21, No. 5, 743--772 (2012; Zbl 1247.82011) Full Text: DOI arXiv
Ellis-Monaghan, Joanna A.; Moffatt, Iain The Tutte-Potts connection in the presence of an external magnetic field. (English) Zbl 1232.05100 Adv. Appl. Math. 47, No. 4, 772-782 (2011). MSC: 05C31 05C22 82B20 PDFBibTeX XMLCite \textit{J. A. Ellis-Monaghan} and \textit{I. Moffatt}, Adv. Appl. Math. 47, No. 4, 772--782 (2011; Zbl 1232.05100) Full Text: DOI arXiv
Bedini, Andrea; Jacobsen, Jesper Lykke A tree-decomposed transfer matrix for computing exact Potts model partition functions for arbitrary graphs, with applications to planar graph colourings. (English) Zbl 1200.82004 J. Phys. A, Math. Theor. 43, No. 38, Article ID 385001, 15 p. (2010). MSC: 82B20 05C80 05C15 PDFBibTeX XMLCite \textit{A. Bedini} and \textit{J. L. Jacobsen}, J. Phys. A, Math. Theor. 43, No. 38, Article ID 385001, 15 p. (2010; Zbl 1200.82004) Full Text: DOI arXiv
Beaudin, Laura; Ellis-Monaghan, Joanna; Pangborn, Greta; Shrock, Robert A little statistical mechanics for the graph theorist. (English) Zbl 1223.05125 Discrete Math. 310, No. 13-14, 2037-2053 (2010). MSC: 05C31 82B20 PDFBibTeX XMLCite \textit{L. Beaudin} et al., Discrete Math. 310, No. 13--14, 2037--2053 (2010; Zbl 1223.05125) Full Text: DOI arXiv
de las Cuevas, Gemma; Dür, Wolfgang; Van den Nest, Maarten; Briegel, Hans J. Completeness of classical spin models and universal quantum computation. (English) Zbl 1456.82113 J. Stat. Mech. Theory Exp. 2009, No. 7, Paper No. P07001, 44 p. (2009). MSC: 82B20 81P45 81P68 PDFBibTeX XMLCite \textit{G. de las Cuevas} et al., J. Stat. Mech. Theory Exp. 2009, No. 7, Paper No. P07001, 44 p. (2009; Zbl 1456.82113) Full Text: DOI arXiv
Geraci, Joseph; Lidar, Daniel A. On the exact evaluation of certain instances of the Potts partition function by quantum computers. (English) Zbl 1200.82007 Commun. Math. Phys. 279, No. 3, 735-768 (2008). MSC: 82B20 94B15 81P68 82B23 PDFBibTeX XMLCite \textit{J. Geraci} and \textit{D. A. Lidar}, Commun. Math. Phys. 279, No. 3, 735--768 (2008; Zbl 1200.82007) Full Text: DOI arXiv
Goldberg, Leslie Ann; Jalsenius, Markus; Martin, Russell; Paterson, Mike Improved mixing bounds for the anti-ferromagnetic Potts model on \(\mathbb Z^2\). (English) Zbl 1122.82007 LMS J. Comput. Math. 9, 1-20 (2006). MSC: 82B20 60K35 68W20 82D40 PDFBibTeX XMLCite \textit{L. A. Goldberg} et al., LMS J. Comput. Math. 9, 1--20 (2006; Zbl 1122.82007) Full Text: DOI arXiv Link
Garnerone, Silvano; Marzuoli, Annalisa; Rasetti, Mario Quantum computation of universal link invariants. (English) Zbl 1110.81043 Open Syst. Inf. Dyn. 13, No. 4, 373-382 (2006). MSC: 81P68 82B20 PDFBibTeX XMLCite \textit{S. Garnerone} et al., Open Syst. Inf. Dyn. 13, No. 4, 373--382 (2006; Zbl 1110.81043) Full Text: DOI
Farr, Graham Some results on generalised Whitney functions. (English) Zbl 1041.05016 Adv. Appl. Math. 32, No. 1-2, 239-262 (2004). MSC: 05B35 82B20 94B99 PDFBibTeX XMLCite \textit{G. Farr}, Adv. Appl. Math. 32, No. 1--2, 239--262 (2004; Zbl 1041.05016) Full Text: DOI
Welsh, D. J. A.; Merino, C. The Potts model and the Tutte polynomial. (English) Zbl 1045.82501 J. Math. Phys. 41, No. 3, 1127-1152 (2000). MSC: 82B20 57M25 PDFBibTeX XMLCite \textit{D. J. A. Welsh} and \textit{C. Merino}, J. Math. Phys. 41, No. 3, 1127--1152 (2000; Zbl 1045.82501) Full Text: DOI
Alon, Noga; Frieze, Alan; Welsh, Dominic Polynomial time randomized approximation schemes for Tutte-Gröthendieck invariants: The dense case. (English) Zbl 0839.68074 Random Struct. Algorithms 6, No. 4, 459-478 (1995). MSC: 68R10 05C80 05B35 60C05 82B20 PDFBibTeX XMLCite \textit{N. Alon} et al., Random Struct. Algorithms 6, No. 4, 459--478 (1995; Zbl 0839.68074) Full Text: DOI
Jaeger, François On spin models, triply regular association schemes, and duality. (English) Zbl 0820.05063 J. Algebr. Comb. 4, No. 2, 103-144 (1995). Reviewer: H.N.V.Temperley (Langport) MSC: 05E30 82B23 57M25 PDFBibTeX XMLCite \textit{F. Jaeger}, J. Algebr. Comb. 4, No. 2, 103--144 (1995; Zbl 0820.05063) Full Text: DOI
Welsh, D. J. A. The random cluster process. (English) Zbl 0821.60094 Discrete Math. 136, No. 1-3, 373-390 (1994). Reviewer: C.McDiarmid (Oxford) MSC: 60K35 05C80 60C05 60G55 82B20 05C90 PDFBibTeX XMLCite \textit{D. J. A. Welsh}, Discrete Math. 136, No. 1--3, 373--390 (1994; Zbl 0821.60094) Full Text: DOI
Welsh, D. J. A. Randomised approximation in the Tutte plane. (English) Zbl 0811.68105 Comb. Probab. Comput. 3, No. 1, 137-143 (1994). MSC: 68R10 68Q25 05C90 82B20 PDFBibTeX XMLCite \textit{D. J. A. Welsh}, Comb. Probab. Comput. 3, No. 1, 137--143 (1994; Zbl 0811.68105) Full Text: DOI