Elder, Murray; Rechnitzer, Andrew; Janse van Rensburg, Esaias J. Random sampling of trivial words in finitely presented groups. (English) Zbl 1355.20038 Exp. Math. 24, No. 4, 391-409 (2015). MSC: 20F69 20F65 05A15 60J20 PDFBibTeX XMLCite \textit{M. Elder} et al., Exp. Math. 24, No. 4, 391--409 (2015; Zbl 1355.20038) Full Text: DOI arXiv Link
Elder, Murray; Rechnitzer, Andrew; Janse van Rensburg, Esaias J.; Wong, Thomas The cogrowth series for \(\mathrm{BS}(N,N)\) is D-finite. (English) Zbl 1304.20057 Int. J. Algebra Comput. 24, No. 2, 171-187 (2014). Reviewer: Łukasz Garncarek (Warszawa) MSC: 20F69 20F05 20F65 05A15 43A07 PDFBibTeX XMLCite \textit{M. Elder} et al., Int. J. Algebra Comput. 24, No. 2, 171--187 (2014; Zbl 1304.20057) Full Text: DOI arXiv
Gasumova, D.; Janse van Rensburg, E. J.; Rechnitzer, A. Lattice knots in a slab. (English) Zbl 1456.82133 J. Stat. Mech. Theory Exp. 2012, No. 9, Paper No. P09004, 34 p. (2012). MSC: 82B20 82D60 PDFBibTeX XMLCite \textit{D. Gasumova} et al., J. Stat. Mech. Theory Exp. 2012, No. 9, Paper No. P09004, 34 p. (2012; Zbl 1456.82133) Full Text: DOI arXiv
Janse van Rensburg, E. J.; Rechnitzer, A. The compressibility of minimal lattice knots. (English) Zbl 1456.82140 J. Stat. Mech. Theory Exp. 2012, No. 5, Paper No. P05003, 31 p. (2012). MSC: 82B20 PDFBibTeX XMLCite \textit{E. J. Janse van Rensburg} and \textit{A. Rechnitzer}, J. Stat. Mech. Theory Exp. 2012, No. 5, Paper No. P05003, 31 p. (2012; Zbl 1456.82140) Full Text: DOI arXiv
Elder, M.; Rechnitzer, A.; van Rensburg, E. J. Janse; Wong, T. On trivial words in finitely presented groups. arXiv:1210.3425 Preprint, arXiv:1210.3425 [math.GR] (2012). MSC: 20F69 05A15 60J20 BibTeX Cite \textit{M. Elder} et al., ``On trivial words in finitely presented groups'', Preprint, arXiv:1210.3425 [math.GR] (2012) Full Text: arXiv OA License
Janse van Rensburg, E. J.; Rechnitzer, A. Generalized atmospheric sampling of knotted polygons. (English) Zbl 1228.57007 J. Knot Theory Ramifications 20, No. 8, 1145-1171 (2011). Reviewer: Jonathan Hodgson (Philadelphia) MSC: 57M25 82B41 26D15 92B99 PDFBibTeX XMLCite \textit{E. J. Janse van Rensburg} and \textit{A. Rechnitzer}, J. Knot Theory Ramifications 20, No. 8, 1145--1171 (2011; Zbl 1228.57007) Full Text: DOI
Janse van Rensburg, E. J.; Rechnitzer, A. BFACF-style algorithms for polygons in the body-centered and face-centered cubic lattices. (English) Zbl 1216.82019 J. Phys. A, Math. Theor. 44, No. 16, Article ID 165001, 25 p. (2011). MSC: 82B41 82B80 PDFBibTeX XMLCite \textit{E. J. Janse van Rensburg} and \textit{A. Rechnitzer}, J. Phys. A, Math. Theor. 44, No. 16, Article ID 165001, 25 p. (2011; Zbl 1216.82019) Full Text: DOI arXiv
Janse van Rensburg, E. J.; Rechnitzer, A. On the universality of knot probability ratios. (English) Zbl 1216.82018 J. Phys. A, Math. Theor. 44, No. 16, Article ID 162002, 8 p. (2011). MSC: 82B41 82B20 57M25 PDFBibTeX XMLCite \textit{E. J. Janse van Rensburg} and \textit{A. Rechnitzer}, J. Phys. A, Math. Theor. 44, No. 16, Article ID 162002, 8 p. (2011; Zbl 1216.82018) Full Text: DOI arXiv
van Rensburg, E. J. Janse; Rechnitzer, A. Minimal knotted polygons in cubic lattices. arXiv:1107.2162 Preprint, arXiv:1107.2162 [cond-mat.stat-mech] (2011). BibTeX Cite \textit{E. J. J. van Rensburg} and \textit{A. Rechnitzer}, ``Minimal knotted polygons in cubic lattices'', Preprint, arXiv:1107.2162 [cond-mat.stat-mech] (2011) Full Text: DOI arXiv OA License
Janse van Rensburg, E. J.; Rechnitzer, A. Generalized atmospheric sampling of self-avoiding walks. (English) Zbl 1179.82183 J. Phys. A, Math. Theor. 42, No. 33, Article ID 335001, 29 p. (2009). MSC: 82D60 82B41 82B80 PDFBibTeX XMLCite \textit{E. J. Janse van Rensburg} and \textit{A. Rechnitzer}, J. Phys. A, Math. Theor. 42, No. 33, Article ID 335001, 29 p. (2009; Zbl 1179.82183) Full Text: DOI
Rechnitzer, A.; Janse van Rensburg, E. J. Generalized atmospheric Rosenbluth methods (GARM). (English) Zbl 1153.86002 J. Phys. A, Math. Theor. 41, No. 44, Article ID 442002, 8 p. (2008). MSC: 82B80 82B41 PDFBibTeX XMLCite \textit{A. Rechnitzer} and \textit{E. J. Janse van Rensburg}, J. Phys. A, Math. Theor. 41, No. 44, Article ID 442002, 8 p. (2008; Zbl 1153.86002) Full Text: DOI arXiv
Janse van Rensburg, E. J.; Prellberg, T.; Rechnitzer, A. Partially directed paths in a wedge. (English) Zbl 1160.05003 J. Comb. Theory, Ser. A 115, No. 4, 623-650 (2008). MSC: 05A15 05A16 05C20 05C38 05A10 PDFBibTeX XMLCite \textit{E. J. Janse van Rensburg} et al., J. Comb. Theory, Ser. A 115, No. 4, 623--650 (2008; Zbl 1160.05003) Full Text: DOI arXiv
Janse van Rensburg, E. J.; Rechnitzer, A. Atmospheres of polygons and knotted polygons. (English) Zbl 1139.82009 J. Phys. A, Math. Theor. 41, No. 10, Article ID 105002, 23 p. (2008). MSC: 82B20 82B41 PDFBibTeX XMLCite \textit{E. J. Janse van Rensburg} and \textit{A. Rechnitzer}, J. Phys. A, Math. Theor. 41, No. 10, Article ID 105002, 23 p. (2008; Zbl 1139.82009) Full Text: DOI Link
Janse van Rensburg, E. J.; Prellberg, T.; Rechnitzer, A. Directed paths in a wedge. (English) Zbl 1177.82063 J. Phys. A, Math. Theor. 40, No. 47, 14069-14084 (2007). MSC: 82B41 05A16 82B20 82D60 PDFBibTeX XMLCite \textit{E. J. Janse van Rensburg} et al., J. Phys. A, Math. Theor. 40, No. 47, 14069--14084 (2007; Zbl 1177.82063) Full Text: DOI arXiv
Janse van Rensburg, E. J.; Orlandini, E.; Owczarek, A. L.; Rechnitzer, A.; Whittington, S. G. Self-avoiding walks in a slab with attractive walls. (English) Zbl 1092.82052 J. Phys. A, Math. Gen. 38, No. 50, L823-L828 (2005). MSC: 82B41 82B80 82D60 PDFBibTeX XMLCite \textit{E. J. Janse van Rensburg} et al., J. Phys. A, Math. Gen. 38, No. 50, L823--L828 (2005; Zbl 1092.82052) Full Text: DOI
Janse van Rensburg, E. J.; Rechnitzer, A. R. Multiple Markov chain Monte Carlo study of adsorbing self-avoiding walks in two and in three dimensions. (English) Zbl 1233.82018 J. Phys. A, Math. Gen. 37, No. 27, 6875-6898 (2004). MSC: 82B41 60G50 82-04 82D60 PDFBibTeX XMLCite \textit{E. J. Janse van Rensburg} and \textit{A. R. Rechnitzer}, J. Phys. A, Math. Gen. 37, No. 27, 6875--6898 (2004; Zbl 1233.82018) Full Text: DOI Link
Rechnitzer, A.; Janse van Rensburg, E. J. Exchange relations, Dyck paths and copolymer adsorption. (English) Zbl 1043.05009 Discrete Appl. Math. 140, No. 1-3, 49-71 (2004). MSC: 05A15 PDFBibTeX XMLCite \textit{A. Rechnitzer} and \textit{E. J. Janse van Rensburg}, Discrete Appl. Math. 140, No. 1--3, 49--71 (2004; Zbl 1043.05009) Full Text: DOI
Rechnitzer, A.; Janse van Rensburg, E. J. Canonical Monte Carlo determination of the connective constant of self-avoiding walks. (English) Zbl 1038.82034 J. Phys. A, Math. Gen. 35, No. 42, L605-L612 (2002). MSC: 82B41 60G50 65C05 PDFBibTeX XMLCite \textit{A. Rechnitzer} and \textit{E. J. Janse van Rensburg}, J. Phys. A, Math. Gen. 35, No. 42, L605--L612 (2002; Zbl 1038.82034) Full Text: DOI
Janse van Rensburg, E. J.; Rechnitzer, A. Exchange symmetries in Motzkin path and bargraph models of copolymer adsorption. (English) Zbl 1025.05002 Electron. J. Comb. 9, No. 1, Research paper R20, 24 p. (2002); printed version J. Comb. 9, No. 1 (2002). Reviewer: H.N.V.Temperley (Langport) MSC: 05A15 82B41 PDFBibTeX XMLCite \textit{E. J. Janse van Rensburg} and \textit{A. Rechnitzer}, Electron. J. Comb. 9, No. 1, Research paper R20, 24 p. (2002; Zbl 1025.05002) Full Text: EuDML EMIS
Janse van Rensburg, E. J.; Rechnitzer, A.; Causo, M. S.; Whittington, S. G. Self-averaging sequences in the statistical mechanics of random copolymers. (English) Zbl 1067.82506 J. Phys. A, Math. Gen. 34, No. 33, 6381-6388 (2001). MSC: 82B41 11K16 11Z05 82D60 PDFBibTeX XMLCite \textit{E. J. Janse van Rensburg} et al., J. Phys. A, Math. Gen. 34, No. 33, 6381--6388 (2001; Zbl 1067.82506) Full Text: DOI Link
Janse van Rensburg, E. J.; Rechnitzer, A. Adsorbing and collapsing directed animals. (English) Zbl 1045.82013 J. Stat. Phys. 105, No. 1-2, 49-91 (2001). MSC: 82B43 82B41 60K35 PDFBibTeX XMLCite \textit{E. J. Janse van Rensburg} and \textit{A. Rechnitzer}, J. Stat. Phys. 105, No. 1--2, 49--91 (2001; Zbl 1045.82013) Full Text: DOI