Slade, Gordon A simple convergence proof for the lace expansion. (English) Zbl 07481294 Ann. Inst. Henri Poincaré, Probab. Stat. 58, No. 1, 26-33 (2022). MSC: 60K35 82B27 82B41 PDF BibTeX XML Cite \textit{G. Slade}, Ann. Inst. Henri Poincaré, Probab. Stat. 58, No. 1, 26--33 (2022; Zbl 07481294) Full Text: DOI arXiv OpenURL
Benjamini, Itai; Panagiotis, Christoforos Hyperbolic self avoiding walk. (English) Zbl 07453053 Electron. Commun. Probab. 26, Paper No. 17, 5 p. (2021). MSC: 60G50 51M10 PDF BibTeX XML Cite \textit{I. Benjamini} and \textit{C. Panagiotis}, Electron. Commun. Probab. 26, Paper No. 17, 5 p. (2021; Zbl 07453053) Full Text: DOI arXiv OpenURL
Otsuka, Takafumi A multi-parameter family of self-avoiding walks on the Sierpiński gasket. (English) Zbl 1472.60080 Tokyo J. Math. 44, No. 1, 251-283 (2021). MSC: 60G50 60F17 28A80 37F25 37F35 60G17 PDF BibTeX XML Cite \textit{T. Otsuka}, Tokyo J. Math. 44, No. 1, 251--283 (2021; Zbl 1472.60080) Full Text: DOI OpenURL
Huynh, Cong Bang Random walk on the self-avoiding tree. (English) Zbl 1473.82024 ALEA, Lat. Am. J. Probab. Math. Stat. 18, No. 2, 1507-1515 (2021). MSC: 82C24 82C20 82C41 82C43 05C05 60K35 PDF BibTeX XML Cite \textit{C. B. Huynh}, ALEA, Lat. Am. J. Probab. Math. Stat. 18, No. 2, 1507--1515 (2021; Zbl 1473.82024) Full Text: Link OpenURL
Gwynne, Ewain; Miller, Jason Convergence of the self-avoiding walk on random quadrangulations to \(\mathrm{SLE}_{8/3}\) on \(\sqrt{8/3} \)-Liouville quantum gravity. (English. French summary) Zbl 1481.60166 Ann. Sci. Éc. Norm. Supér. (4) 54, No. 2, 305-405 (2021). Reviewer: Andrew Wade (Durham) MSC: 60J67 60D05 05C80 60F17 PDF BibTeX XML Cite \textit{E. Gwynne} and \textit{J. Miller}, Ann. Sci. Éc. Norm. Supér. (4) 54, No. 2, 305--405 (2021; Zbl 1481.60166) Full Text: DOI arXiv OpenURL
Glazman, Alexander; Manolescu, Ioan Self-avoiding walk on \(\mathbb{Z}^2\) with Yang-Baxter weights: universality of critical fugacity and 2-point function. (English. French summary) Zbl 1469.60329 Ann. Inst. Henri Poincaré, Probab. Stat. 56, No. 4, 2281-2300 (2020). MSC: 60K35 60D05 82B23 82B20 PDF BibTeX XML Cite \textit{A. Glazman} and \textit{I. Manolescu}, Ann. Inst. Henri Poincaré, Probab. Stat. 56, No. 4, 2281--2300 (2020; Zbl 1469.60329) Full Text: DOI arXiv Euclid OpenURL
Sakai, Akira Crossover phenomena in the critical behavior for long-range models with power-law couplings. (English) Zbl 1460.60110 RIMS Kôkyûroku Bessatsu B79, 51-62 (2020). MSC: 60K35 82B20 82B27 82B41 82B43 PDF BibTeX XML Cite \textit{A. Sakai}, RIMS Kôkyûroku Bessatsu B79, 51--62 (2020; Zbl 1460.60110) Full Text: arXiv Link OpenURL
Slade, Gordon Self-avoiding walk on the complete graph. (English) Zbl 1456.82451 J. Math. Soc. Japan 72, No. 4, 1189-1200 (2020). Reviewer: Christoph Koutschan (Linz) MSC: 82B41 82B27 82B26 82B20 33B20 60K35 PDF BibTeX XML Cite \textit{G. Slade}, J. Math. Soc. Japan 72, No. 4, 1189--1200 (2020; Zbl 1456.82451) Full Text: DOI arXiv Euclid OpenURL
Handa, Satoshi; Kamijima, Yoshinori; Sakai, Akira A survey on the lace expansion for the nearest-neighbor models on the BCC lattice. (English) Zbl 1459.60199 Taiwanese J. Math. 24, No. 3, 723-784 (2020). MSC: 60K35 82B20 82B27 82B41 82B43 PDF BibTeX XML Cite \textit{S. Handa} et al., Taiwanese J. Math. 24, No. 3, 723--784 (2020; Zbl 1459.60199) Full Text: DOI arXiv Euclid OpenURL
Grimmett, Geoffrey R.; Li, Zhongyang Weighted self-avoiding walks. (English) Zbl 1447.05184 J. Algebr. Comb. 52, No. 1, 77-102 (2020). MSC: 05C81 05C25 05C30 20F65 82B20 82D40 PDF BibTeX XML Cite \textit{G. R. Grimmett} and \textit{Z. Li}, J. Algebr. Comb. 52, No. 1, 77--102 (2020; Zbl 1447.05184) Full Text: DOI arXiv OpenURL
Duminil-Copin, Hugo; Ganguly, Shirshendu; Hammond, Alan; Manolescu, Ioan Bounding the number of self-avoiding walks: Hammersley-Welsh with polygon insertion. (English) Zbl 1453.60154 Ann. Probab. 48, No. 4, 1644-1692 (2020). MSC: 60K35 60D05 PDF BibTeX XML Cite \textit{H. Duminil-Copin} et al., Ann. Probab. 48, No. 4, 1644--1692 (2020; Zbl 1453.60154) Full Text: DOI arXiv Euclid OpenURL
Comets, Francis; Menshikov, Mikhail V.; Wade, Andrew R. Random walks avoiding their convex hull with a finite memory. (English) Zbl 1471.60065 Indag. Math., New Ser. 31, No. 1, 117-146 (2020). MSC: 60G50 60K35 52A22 PDF BibTeX XML Cite \textit{F. Comets} et al., Indag. Math., New Ser. 31, No. 1, 117--146 (2020; Zbl 1471.60065) Full Text: DOI arXiv Link OpenURL
Peled, Ron; Spinka, Yinon Lectures on the spin and loop \(O(n)\) models. (English) Zbl 1446.82019 Sidoravicius, Vladas (ed.), Sojourns in probability theory and statistical physics. I. Spin glasses and statistical mechanics, a festschrift for Charles M. Newman. Singapore: Springer; Shanghai: NYU Shanghai. Springer Proc. Math. Stat. 298, 246-320 (2019). MSC: 82B20 82D40 82B41 82B43 82B26 82B27 81R40 82B30 60J67 PDF BibTeX XML Cite \textit{R. Peled} and \textit{Y. Spinka}, Springer Proc. Math. Stat. 298, 246--320 (2019; Zbl 1446.82019) 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
Caraceni, Alessandra; Curien, Nicolas Self-avoiding walks on the UIPQ. (English) Zbl 1446.82027 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, 138-165 (2019). MSC: 82B41 82B20 60J50 05C80 PDF BibTeX XML Cite \textit{A. Caraceni} and \textit{N. Curien}, Springer Proc. Math. Stat. 300, 138--165 (2019; Zbl 1446.82027) Full Text: DOI arXiv OpenURL
Hutchcroft, Tom Self-avoiding walk on nonunimodular transitive graphs. (English) Zbl 1448.60187 Ann. Probab. 47, No. 5, 2801-2829 (2019). MSC: 60K35 05C25 60G50 05C30 82B41 PDF BibTeX XML Cite \textit{T. Hutchcroft}, Ann. Probab. 47, No. 5, 2801--2829 (2019; Zbl 1448.60187) Full Text: DOI arXiv Euclid OpenURL
Liu, Jingcheng; Sinclair, Alistair; Srivastava, Piyush Fisher zeros and correlation decay in the Ising model. (English) Zbl 1431.82010 J. Math. Phys. 60, No. 10, 103304, 12 p. (2019). MSC: 82B20 62H20 05C81 82B26 82B41 65H04 PDF BibTeX XML Cite \textit{J. Liu} et al., J. Math. Phys. 60, No. 10, 103304, 12 p. (2019; Zbl 1431.82010) Full Text: DOI arXiv Link OpenURL
Chen, Lung-Chi; Sakai, Akira Critical two-point function for long-range models with power-law couplings: the marginal case for \({d\ge d_{\mathrm{c}}}\). (English) Zbl 1431.82016 Commun. Math. Phys. 372, No. 2, 543-572 (2019). MSC: 82B41 82B43 82B20 60K35 82B27 82D40 PDF BibTeX XML Cite \textit{L.-C. Chen} and \textit{A. Sakai}, Commun. Math. Phys. 372, No. 2, 543--572 (2019; Zbl 1431.82016) Full Text: DOI arXiv OpenURL
Slade, Gordon Self-avoiding walk, spin systems and renormalization. (English) Zbl 1425.82008 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 475, No. 2221, Article ID 20180549, 21 p. (2019). MSC: 82B41 PDF BibTeX XML Cite \textit{G. Slade}, Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 475, No. 2221, Article ID 20180549, 21 p. (2019; Zbl 1425.82008) Full Text: DOI arXiv OpenURL
Hammond, Alan; Helmuth, Tyler Self-attracting self-avoiding walk. (English) Zbl 1423.60156 Probab. Theory Relat. Fields 175, No. 3-4, 677-719 (2019). MSC: 60K35 60D05 82B27 PDF BibTeX XML Cite \textit{A. Hammond} and \textit{T. Helmuth}, Probab. Theory Relat. Fields 175, No. 3--4, 677--719 (2019; Zbl 1423.60156) Full Text: DOI arXiv OpenURL
Gassoumov, F.; Janse van Rensburg, E. J. Osmotic pressure of confined square lattice self-avoiding walks. (English) Zbl 1422.82032 J. Phys. A, Math. Theor. 52, No. 2, Article ID 025004, 15 p. (2019). MSC: 82D60 82C22 82C41 76T20 PDF BibTeX XML Cite \textit{F. Gassoumov} and \textit{E. J. Janse van Rensburg}, J. Phys. A, Math. Theor. 52, No. 2, Article ID 025004, 15 p. (2019; Zbl 1422.82032) Full Text: DOI arXiv OpenURL
Bauerschmidt, Roland; Brydges, David C.; Slade, Gordon Introduction to a renormalisation group method. (English) Zbl 1471.81001 Lecture Notes in Mathematics 2242. Singapore: Springer (ISBN 978-981-329-591-9/pbk; 978-981-329-593-3/ebook). xii, 283 p. (2019). Reviewer: Eugene Kryachko (Kyïv) MSC: 81-01 82-02 81T17 60G15 60K35 82B27 82B41 PDF BibTeX XML Cite \textit{R. Bauerschmidt} et al., Introduction to a renormalisation group method. Singapore: Springer (2019; Zbl 1471.81001) Full Text: DOI arXiv OpenURL
Betz, Volker; Taggi, Lorenzo Scaling limit of ballistic self-avoiding walk interacting with spatial random permutations. (English) Zbl 1434.82014 Electron. J. Probab. 24, Paper No. 74, 37 p. (2019). MSC: 82B20 82B41 82C41 82B26 PDF BibTeX XML Cite \textit{V. Betz} and \textit{L. Taggi}, Electron. J. Probab. 24, Paper No. 74, 37 p. (2019; Zbl 1434.82014) Full Text: DOI arXiv Euclid OpenURL
Hammond, Alan On self-avoiding polygons and walks: the snake method via polygon joining. (English) Zbl 1467.60077 Electron. J. Probab. 24, Paper No. 49, 43 p. (2019). MSC: 60K35 60D05 PDF BibTeX XML Cite \textit{A. Hammond}, Electron. J. Probab. 24, Paper No. 49, 43 p. (2019; Zbl 1467.60077) Full Text: DOI arXiv Euclid OpenURL
Gwynne, Ewain; Miller, Jason Convergence of the free Boltzmann quadrangulation with simple boundary to the Brownian disk. (English. French summary) Zbl 1466.60019 Ann. Inst. Henri Poincaré, Probab. Stat. 55, No. 1, 551-589 (2019). MSC: 60D05 60F17 05C80 PDF BibTeX XML Cite \textit{E. Gwynne} and \textit{J. Miller}, Ann. Inst. Henri Poincaré, Probab. Stat. 55, No. 1, 551--589 (2019; Zbl 1466.60019) Full Text: DOI arXiv Euclid OpenURL
Clisby, Nathan Monte Carlo study of four-dimensional self-avoiding walks of up to one billion steps. (English) Zbl 1401.82018 J. Stat. Phys. 172, No. 2, 477-492 (2018). MSC: 82B41 82B80 82-08 82B20 82B28 82D60 PDF BibTeX XML Cite \textit{N. Clisby}, J. Stat. Phys. 172, No. 2, 477--492 (2018; Zbl 1401.82018) Full Text: DOI arXiv OpenURL
Pétrélis, Nicolas; Torri, Niccolò Collapse transition of the interacting prudent walk. (English) Zbl 1398.82025 Ann. Inst. Henri Poincaré D, Comb. Phys. Interact. (AIHPD) 5, No. 3, 387-435 (2018). Reviewer: Hasan Akin (Gaziantep) MSC: 82B26 60K35 82B41 60K15 05D40 82D60 82B27 PDF BibTeX XML Cite \textit{N. Pétrélis} and \textit{N. Torri}, Ann. Inst. Henri Poincaré D, Comb. Phys. Interact. (AIHPD) 5, No. 3, 387--435 (2018; Zbl 1398.82025) Full Text: DOI arXiv OpenURL
Janse van Rensburg, E. J.; Whittington, S. G. Force-induced desorption of 3-star polymers: a self-avoiding walk model. (English) Zbl 1398.82054 J. Phys. A, Math. Theor. 51, No. 20, Article ID 204001, 13 p. (2018). Reviewer: Hasan Akin (Gaziantep) MSC: 82D60 82B41 82B26 82B20 PDF BibTeX XML Cite \textit{E. J. Janse van Rensburg} and \textit{S. G. Whittington}, J. Phys. A, Math. Theor. 51, No. 20, Article ID 204001, 13 p. (2018; Zbl 1398.82054) Full Text: DOI arXiv OpenURL
Bolthausen, Erwin; van der Hofstad, Remco; Kozma, Gady Lace expansion for dummies. (English. French summary) Zbl 1392.82025 Ann. Inst. Henri Poincaré, Probab. Stat. 54, No. 1, 141-153 (2018). MSC: 82B41 60K35 PDF BibTeX XML Cite \textit{E. Bolthausen} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 54, No. 1, 141--153 (2018; Zbl 1392.82025) Full Text: DOI arXiv OpenURL
Caraceni, Alessandra; Curien, Nicolas Geometry of the uniform infinite half-planar quadrangulation. (English) Zbl 1387.05232 Random Struct. Algorithms 52, No. 3, 454-494 (2018). MSC: 05C80 05C05 60C05 60J80 PDF BibTeX XML Cite \textit{A. Caraceni} and \textit{N. Curien}, Random Struct. Algorithms 52, No. 3, 454--494 (2018; Zbl 1387.05232) Full Text: DOI arXiv OpenURL
Hutchcroft, Tom The Hammersley-Welsh bound for self-avoiding walk revisited. (English) Zbl 1388.60162 Electron. Commun. Probab. 23, Paper No. 5, 8 p. (2018). MSC: 60K35 05A99 PDF BibTeX XML Cite \textit{T. Hutchcroft}, Electron. Commun. Probab. 23, Paper No. 5, 8 p. (2018; Zbl 1388.60162) Full Text: DOI arXiv Euclid OpenURL
Hammond, Alan An upper bound on the number of self-avoiding polygons via joining. (English) Zbl 1434.60294 Ann. Probab. 46, No. 1, 175-206 (2018). MSC: 60K35 60D05 PDF BibTeX XML Cite \textit{A. Hammond}, Ann. Probab. 46, No. 1, 175--206 (2018; Zbl 1434.60294) Full Text: DOI arXiv OpenURL
Lohmann, Martin; Slade, Gordon; Wallace, Benjamin C. Critical two-point function for long-range \(O(n)\) models below the upper critical dimension. (English) Zbl 1387.82012 J. Stat. Phys. 169, No. 6, 1132-1161 (2017). MSC: 82B20 82B41 82B28 82B27 PDF BibTeX XML Cite \textit{M. Lohmann} et al., J. Stat. Phys. 169, No. 6, 1132--1161 (2017; Zbl 1387.82012) Full Text: DOI arXiv OpenURL
Préa, Pascal; Rouault, Mathieu; Brucker, François An optimal algorithm to generate extendable self-avoiding walks in arbitrary dimension. (English) Zbl 1427.05213 Fédou, Jean-Marc (ed.) et al., Random generation of combinatorial structures – GASCom 2016. Proceedings of the 10th GASCom conference, Centre IGESA, La Marana, Corsica, France, June 1 – June 4, 2016. Amsterdam: Elsevier. Electron. Notes Discrete Math. 59, 37-50 (2017). MSC: 05C81 82B20 PDF BibTeX XML Cite \textit{P. Préa} et al., Electron. Notes Discrete Math. 59, 37--50 (2017; Zbl 1427.05213) Full Text: DOI HAL OpenURL
Grimmett, Geoffrey; Li, Zhongyang Self-avoiding walks and amenability. (English) Zbl 1376.05068 Electron. J. Comb. 24, No. 4, Research Paper P4.38, 24 p. (2017). MSC: 05C25 05C30 20F65 60K35 82B20 PDF BibTeX XML Cite \textit{G. Grimmett} and \textit{Z. Li}, Electron. J. Comb. 24, No. 4, Research Paper P4.38, 24 p. (2017; Zbl 1376.05068) Full Text: arXiv Link OpenURL
Pétrélis, Nicolas; Sun, Rongfeng; Torri, Niccolò Scaling limit of the uniform prudent walk. (English) Zbl 1377.82028 Electron. J. Probab. 22, Paper No. 66, 19 p. (2017). MSC: 82B41 60F17 60K35 60G50 PDF BibTeX XML Cite \textit{N. Pétrélis} et al., Electron. J. Probab. 22, Paper No. 66, 19 p. (2017; Zbl 1377.82028) Full Text: DOI arXiv Euclid OpenURL
Bauerschmidt, Roland; Slade, Gordon; Wallace, Benjamin C. Four-dimensional weakly self-avoiding walk with contact self-attraction. (English) Zbl 1376.82086 J. Stat. Phys. 167, No. 2, 317-350 (2017). MSC: 82C41 82C27 82C28 82D60 PDF BibTeX XML Cite \textit{R. Bauerschmidt} et al., J. Stat. Phys. 167, No. 2, 317--350 (2017; Zbl 1376.82086) Full Text: DOI arXiv OpenURL
Alkhimov, V. I. Canonical ensemble of particles in a self-avoiding random walk. (English. Russian original) Zbl 1369.82012 Theor. Math. Phys. 191, No. 1, 558-571 (2017); translation from Teor. Mat. Fiz. 191, No. 1, 100-115 (2017). MSC: 82B30 82B41 82B28 PDF BibTeX XML Cite \textit{V. I. Alkhimov}, Theor. Math. Phys. 191, No. 1, 558--571 (2017; Zbl 1369.82012); translation from Teor. Mat. Fiz. 191, No. 1, 100--115 (2017) Full Text: DOI OpenURL
Clisby, Nathan Scale-free Monte Carlo method for calculating the critical exponent \(\gamma\) of self-avoiding walks. (English) Zbl 1368.82008 J. Phys. A, Math. Theor. 50, No. 26, Article ID 264003, 13 p. (2017). MSC: 82B41 65C05 35B32 PDF BibTeX XML Cite \textit{N. Clisby}, J. Phys. A, Math. Theor. 50, No. 26, Article ID 264003, 13 p. (2017; Zbl 1368.82008) Full Text: DOI arXiv OpenURL
Tishby, Ido; Biham, Ofer; Katzav, Eytan The distribution of first hitting times of non-backtracking random walks on Erdos-Rényi networks. (English) Zbl 1369.82018 J. Phys. A, Math. Theor. 50, No. 20, Article ID 205003, 34 p. (2017). MSC: 82B41 60G50 05C81 PDF BibTeX XML Cite \textit{I. Tishby} et al., J. Phys. A, Math. Theor. 50, No. 20, Article ID 205003, 34 p. (2017; Zbl 1369.82018) Full Text: DOI arXiv OpenURL
Grimmett, Geoffrey R.; Li, Zhongyang Connective constants and height functions for Cayley graphs. (English) Zbl 1362.05059 Trans. Am. Math. Soc. 369, No. 8, 5961-5980 (2017). MSC: 05C25 05C30 20F65 60K35 PDF BibTeX XML Cite \textit{G. R. Grimmett} and \textit{Z. Li}, Trans. Am. Math. Soc. 369, No. 8, 5961--5980 (2017; Zbl 1362.05059) Full Text: DOI arXiv OpenURL
Tishby, Ido; Biham, Ofer; Katzav, Eytan The distribution of first hitting times of randomwalks on Erdős-Rényi networks. (English) Zbl 1362.60044 J. Phys. A, Math. Theor. 50, No. 11, Article ID 115001, 21 p. (2017). MSC: 60G50 05C81 05C80 PDF BibTeX XML Cite \textit{I. Tishby} et al., J. Phys. A, Math. Theor. 50, No. 11, Article ID 115001, 21 p. (2017; Zbl 1362.60044) Full Text: DOI arXiv OpenURL
Hattori, Kumiko; Ogo, Noriaki; Otsuka, Takafumi A family of self-avoiding random walks interpolating the loop-erased random walk and a self-avoiding walk on the Sierpiński gasket. (English) Zbl 1356.60071 Discrete Contin. Dyn. Syst., Ser. S 10, No. 2, 289-311 (2017). MSC: 60G50 60K35 60G17 28A80 37F25 37F35 PDF BibTeX XML Cite \textit{K. Hattori} et al., Discrete Contin. Dyn. Syst., Ser. S 10, No. 2, 289--311 (2017; Zbl 1356.60071) Full Text: DOI arXiv OpenURL
Lawler, Gregory F. Random walk problems motivated by statistical physics. (English) Zbl 1388.60164 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, 331-371 (2016). MSC: 60K35 60G50 60J67 PDF BibTeX XML Cite \textit{G. F. Lawler}, Proc. Symp. Pure Math. 91, 331--371 (2016; Zbl 1388.60164) OpenURL
Shimada, Hirohiko; Hikami, Shinobu Fractal dimensions of self-avoiding walks and Ising high-temperature graphs in 3D conformal bootstrap. (English) Zbl 1360.82084 J. Stat. Phys. 165, No. 6, 1006-1035 (2016). MSC: 82C41 82C20 60J67 81Q60 81T40 PDF BibTeX XML Cite \textit{H. Shimada} and \textit{S. Hikami}, J. Stat. Phys. 165, No. 6, 1006--1035 (2016; Zbl 1360.82084) Full Text: DOI arXiv OpenURL
Carmona, Philippe; Nguyen, Gia Bao; Pétrélis, Nicolas Interacting partially directed self avoiding walk. From phase transition to the geometry of the collapsed phase. (English) Zbl 1360.60173 Ann. Probab. 44, No. 5, 3234-3290 (2016). Reviewer: Boris Granovsky (Haifa) MSC: 60K35 60G50 82B26 82B41 82D60 PDF BibTeX XML Cite \textit{P. Carmona} et al., Ann. Probab. 44, No. 5, 3234--3290 (2016; Zbl 1360.60173) Full Text: DOI arXiv Euclid OpenURL
Carmona, Philippe; Pétrélis, Nicolas Interacting partially directed self avoiding walk: scaling limits. (English) Zbl 1346.60136 Electron. J. Probab. 21, Paper No. 49, 52 p. (2016). MSC: 60K35 60G50 60F10 60F05 60F15 60F17 60J65 82B26 82B41 82D60 PDF BibTeX XML Cite \textit{P. Carmona} and \textit{N. Pétrélis}, Electron. J. Probab. 21, Paper No. 49, 52 p. (2016; Zbl 1346.60136) Full Text: DOI arXiv Euclid OpenURL
Tishby, Ido; Biham, Ofer; Katzav, Eytan The distribution of path lengths of self avoiding walks on Erdős-Rényi networks. (English) Zbl 1345.90024 J. Phys. A, Math. Theor. 49, No. 28, Article ID 285002, 20 p. (2016). MSC: 90B15 82B41 60G50 PDF BibTeX XML Cite \textit{I. Tishby} et al., J. Phys. A, Math. Theor. 49, No. 28, Article ID 285002, 20 p. (2016; Zbl 1345.90024) Full Text: DOI arXiv OpenURL
Janse van Rensburg, E. J.; Whittington, S. G. Self-avoiding walks subject to a force. (English) Zbl 1342.82074 J. Phys. A, Math. Theor. 49, No. 11, Article ID 11LT01, 6 p. (2016). MSC: 82B41 82B80 65C05 PDF BibTeX XML Cite \textit{E. J. Janse van Rensburg} and \textit{S. G. Whittington}, J. Phys. A, Math. Theor. 49, No. 11, Article ID 11LT01, 6 p. (2016; Zbl 1342.82074) Full Text: DOI arXiv OpenURL
Clisby, Nathan; Conway, Andrew R.; Guttmann, Anthony J. Three-dimensional terminally attached self-avoiding walks and bridges. (English) Zbl 1342.82065 J. Phys. A, Math. Theor. 49, No. 1, Article ID 015004, 26 p. (2016). MSC: 82B41 PDF BibTeX XML Cite \textit{N. Clisby} et al., J. Phys. A, Math. Theor. 49, No. 1, Article ID 015004, 26 p. (2016; Zbl 1342.82065) Full Text: DOI arXiv OpenURL
Yadin, Ariel Self-avoiding walks on finite graphs of large girth. (English) Zbl 1342.82073 ALEA, Lat. Am. J. Probab. Math. Stat. 13, No. 2, 521-544 (2016). MSC: 82B41 60K35 PDF BibTeX XML Cite \textit{A. Yadin}, ALEA, Lat. Am. J. Probab. Math. Stat. 13, No. 2, 521--544 (2016; Zbl 1342.82073) Full Text: arXiv Link OpenURL
Chino, Yuki; Sakai, Akira The quenched critical point for self-avoiding walk on random conductors. (English) Zbl 1341.82038 J. Stat. Phys. 163, No. 4, 754-764 (2016). MSC: 82B41 82B27 82B44 PDF BibTeX XML Cite \textit{Y. Chino} and \textit{A. Sakai}, J. Stat. Phys. 163, No. 4, 754--764 (2016; Zbl 1341.82038) Full Text: DOI arXiv OpenURL
Bornemann, Folkmar The SIAM 100-Digit Challenge: a decade later. Inspirations, ramifications, and other eddies left in its wake. (English) Zbl 1341.65001 Jahresber. Dtsch. Math.-Ver. 118, No. 2, 87-123 (2016). MSC: 65-03 40A05 40D05 41A29 68W30 60G50 11A41 60J65 PDF BibTeX XML Cite \textit{F. Bornemann}, Jahresber. Dtsch. Math.-Ver. 118, No. 2, 87--123 (2016; Zbl 1341.65001) Full Text: DOI OpenURL
Duminil-Copin, Hugo; Glazman, Alexander; Hammond, Alan; Manolescu, Ioan On the probability that self-avoiding walk ends at a given point. (English) Zbl 1347.60131 Ann. Probab. 44, No. 2, 955-983 (2016). Reviewer: Arvind Ayyer (Bangalore) MSC: 60K35 60G50 60D05 PDF BibTeX XML Cite \textit{H. Duminil-Copin} et al., Ann. Probab. 44, No. 2, 955--983 (2016; Zbl 1347.60131) Full Text: DOI arXiv Euclid OpenURL
Mishra, Shradha; Bhattacharya, Sanchari; Webb, Benjamin; Cohen, E. G. D. Subdiffusion, anomalous diffusion and propagation of a particle moving in random and periodic media. (English) Zbl 1341.82066 J. Stat. Phys. 162, No. 4, 855-868 (2016). MSC: 82C41 82C20 60J60 28A80 PDF BibTeX XML Cite \textit{S. Mishra} et al., J. Stat. Phys. 162, No. 4, 855--868 (2016; Zbl 1341.82066) Full Text: DOI arXiv OpenURL
Slade, Gordon; Tomberg, Alexandre Critical correlation functions for the 4-dimensional weakly self-avoiding walk and \(n\)-component \(|\varphi|^4\) model. (English) Zbl 1342.82070 Commun. Math. Phys. 342, No. 2, 675-737 (2016). Reviewer: Utkir A. Rozikov (Tashkent) MSC: 82B41 82B20 82B28 PDF BibTeX XML Cite \textit{G. Slade} and \textit{A. Tomberg}, Commun. Math. Phys. 342, No. 2, 675--737 (2016; Zbl 1342.82070) Full Text: DOI arXiv OpenURL
Webb, B. Z.; Cohen, E. G. D. Self-limiting trajectories of a particle moving deterministically in a random medium. (English) Zbl 1335.82025 J. Phys. A, Math. Theor. 48, No. 48, Article ID 485203, 35 p. (2015). Reviewer: Claudia-Veronika Meister (Darmstadt) MSC: 82C41 82C20 82C40 PDF BibTeX XML Cite \textit{B. Z. Webb} and \textit{E. G. D. Cohen}, J. Phys. A, Math. Theor. 48, No. 48, Article ID 485203, 35 p. (2015; Zbl 1335.82025) Full Text: DOI arXiv OpenURL
Curien, Nicolas; Miermont, Grégory Uniform infinite planar quadrangulations with a boundary. (English) Zbl 1351.60011 Random Struct. Algorithms 47, No. 1, 30-58 (2015). MSC: 60D05 60G50 60F05 05C10 05C30 PDF BibTeX XML Cite \textit{N. Curien} and \textit{G. Miermont}, Random Struct. Algorithms 47, No. 1, 30--58 (2015; Zbl 1351.60011) Full Text: DOI arXiv OpenURL
Bauerschmidt, Roland; Brydges, David C.; Slade, Gordon Critical two-point function of the 4-dimensional weakly self-avoiding walk. (English) Zbl 1320.82031 Commun. Math. Phys. 338, No. 1, 169-193 (2015). MSC: 82B41 60G50 82B27 82B28 PDF BibTeX XML Cite \textit{R. Bauerschmidt} et al., Commun. Math. Phys. 338, No. 1, 169--193 (2015; Zbl 1320.82031) Full Text: DOI arXiv OpenURL
Brydges, David C.; Slade, Gordon A renormalisation group method. V. A single renormalisation group step. (English) Zbl 1317.82016 J. Stat. Phys. 159, No. 3, 589-667 (2015). MSC: 82B28 82B27 82B41 PDF BibTeX XML Cite \textit{D. C. Brydges} and \textit{G. Slade}, J. Stat. Phys. 159, No. 3, 589--667 (2015; Zbl 1317.82016) Full Text: DOI arXiv OpenURL
Brydges, David C.; Slade, Gordon A renormalisation group method. IV. Stability analysis. (English) Zbl 1317.82015 J. Stat. Phys. 159, No. 3, 530-588 (2015). MSC: 82B28 82B41 81T60 82B27 PDF BibTeX XML Cite \textit{D. C. Brydges} and \textit{G. Slade}, J. Stat. Phys. 159, No. 3, 530--588 (2015; Zbl 1317.82015) Full Text: DOI arXiv OpenURL
Bauerschmidt, Roland; Brydges, David C.; Slade, Gordon A renormalisation group method. III. Perturbative analysis. (English) Zbl 1319.82008 J. Stat. Phys. 159, No. 3, 492-529 (2015). MSC: 82B28 82B41 81T60 60K35 82B20 82B27 PDF BibTeX XML Cite \textit{R. Bauerschmidt} et al., J. Stat. Phys. 159, No. 3, 492--529 (2015; Zbl 1319.82008) Full Text: DOI arXiv OpenURL
Kennedy, Tom Conformal invariance predictions for the three-dimensional self-avoiding walk. (English) Zbl 1319.82010 J. Stat. Phys. 158, No. 6, 1195-1212 (2015). MSC: 82B41 81T40 PDF BibTeX XML Cite \textit{T. Kennedy}, J. Stat. Phys. 158, No. 6, 1195--1212 (2015; Zbl 1319.82010) Full Text: DOI arXiv OpenURL
Bauerschmidt, Roland; Brydges, David C.; Slade, Gordon Logarithmic correction for the susceptibility of the 4-dimensional weakly self-avoiding walk: a renormalisation group analysis. (English) Zbl 1318.60049 Commun. Math. Phys. 337, No. 2, 817-877 (2015). MSC: 60G50 PDF BibTeX XML Cite \textit{R. Bauerschmidt} et al., Commun. Math. Phys. 337, No. 2, 817--877 (2015; Zbl 1318.60049) Full Text: DOI arXiv OpenURL
Chen, Lung-Chi; Sakai, Akira Critical two-point functions for long-range statistical-mechanical models in high dimensions. (English) Zbl 1342.60162 Ann. Probab. 43, No. 2, 639-681 (2015). Reviewer: Anatoliy Pogorui (Zhytomyr) MSC: 60K35 60G50 82B20 82B27 82B41 82B43 PDF BibTeX XML Cite \textit{L.-C. Chen} and \textit{A. Sakai}, Ann. Probab. 43, No. 2, 639--681 (2015; Zbl 1342.60162) Full Text: DOI arXiv Euclid OpenURL
Schenker, Jeffrey How large is large? Estimating the critical disorder for the Anderson model. (English) Zbl 1311.82025 Lett. Math. Phys. 105, No. 1, 1-9 (2015). Reviewer: Utkir A. Rozikov (Tashkent) MSC: 82B44 81Q10 PDF BibTeX XML Cite \textit{J. Schenker}, Lett. Math. Phys. 105, No. 1, 1--9 (2015; Zbl 1311.82025) Full Text: DOI arXiv OpenURL
Grimmett, Geoffrey R.; Li, Zhongyang Strict inequalities for connective constants of transitive graphs. (English) Zbl 1305.05102 SIAM J. Discrete Math. 28, No. 3, 1306-1333 (2014). MSC: 05C25 05C30 82B20 60K35 PDF BibTeX XML Cite \textit{G. R. Grimmett} and \textit{Z. Li}, SIAM J. Discrete Math. 28, No. 3, 1306--1333 (2014; Zbl 1305.05102) Full Text: DOI arXiv OpenURL
Lacoin, Hubert Non-coincidence of quenched and annealed connective constants on the supercritical planar percolation cluster. (English) Zbl 1298.82030 Probab. Theory Relat. Fields 159, No. 3-4, 777-808 (2014). MSC: 82B43 82D60 60K37 82B44 82B41 82B20 PDF BibTeX XML Cite \textit{H. Lacoin}, Probab. Theory Relat. Fields 159, No. 3--4, 777--808 (2014; Zbl 1298.82030) Full Text: DOI arXiv OpenURL
Lacoin, Hubert Existence of a non-averaging regime for the self-avoiding walk on a high-dimensional infinite percolation cluster. (English) Zbl 1291.82149 J. Stat. Phys. 154, No. 6, 1461-1482 (2014). MSC: 82D60 60K37 82B44 82B43 PDF BibTeX XML Cite \textit{H. Lacoin}, J. Stat. Phys. 154, No. 6, 1461--1482 (2014; Zbl 1291.82149) Full Text: DOI arXiv OpenURL
Duminil-Copin, Hugo; Kozma, Gady; Yadin, Ariel Supercritical self-avoiding walks are space-filling. (English. French summary) Zbl 1292.60096 Ann. Inst. Henri Poincaré, Probab. Stat. 50, No. 2, 315-326 (2014). MSC: 60K35 60C05 82C41 PDF BibTeX XML Cite \textit{H. Duminil-Copin} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 50, No. 2, 315--326 (2014; Zbl 1292.60096) Full Text: DOI arXiv Euclid OpenURL
Grimmett, Geoffrey R.; Holroyd, Alexander E.; Peres, Yuval Extendable self-avoiding walks. (English) Zbl 1285.05163 Ann. Inst. Henri Poincaré D, Comb. Phys. Interact. 1, No. 1, 61-75 (2014). MSC: 05C81 05C30 82B20 60K35 PDF BibTeX XML Cite \textit{G. R. Grimmett} et al., Ann. Inst. Henri Poincaré D, Comb. Phys. Interact. (AIHPD) 1, No. 1, 61--75 (2014; Zbl 1285.05163) Full Text: DOI arXiv OpenURL
Madras, Neal A lower bound for the end-to-end distance of self-avoiding walk. (English) Zbl 1287.82016 Can. Math. Bull. 57, No. 1, 113-118 (2014). MSC: 82B41 60D05 60K35 82B27 PDF BibTeX XML Cite \textit{N. Madras}, Can. Math. Bull. 57, No. 1, 113--118 (2014; Zbl 1287.82016) Full Text: DOI OpenURL
Padmanabhan, A. S. Growing self avoiding walk trees. (English) Zbl 1311.92221 J. Math. Chem. 52, No. 1, 355-367 (2014). MSC: 92E20 05C81 60K35 05C90 PDF BibTeX XML Cite \textit{A. S. Padmanabhan}, J. Math. Chem. 52, No. 1, 355--367 (2014; Zbl 1311.92221) Full Text: DOI OpenURL
Guttmann, Anthony J.; Jensen, I.; Whittington, S. G. Pulling adsorbed self-avoiding walks from a surface. (English) Zbl 1291.82088 J. Phys. A, Math. Theor. 47, No. 1, Article ID 015004, 15 p. (2014). Reviewer: Artem Sapozhnikov (Leipzig) MSC: 82C24 82C41 82D60 82C26 PDF BibTeX XML Cite \textit{A. J. Guttmann} et al., J. Phys. A, Math. Theor. 47, No. 1, Article ID 015004, 15 p. (2014; Zbl 1291.82088) Full Text: DOI arXiv OpenURL
Kennedy, Tom; Lawler, Gregory F. Lattice effects in the scaling limit of the two-dimensional self-avoiding walk. (English) Zbl 1321.82023 Carfì, David (ed.) et al., Fractal geometry and dynamical systems in pure and applied mathematics II: Fractals in applied mathematics. Selected papers based on three conferences following the passing of Benoît Mandelbrot in October 2010. 1st PISRS 2011 international conference on analysis, fractal geometry, dynamical systems and economics, Messina, Italy, November 8–12, 2011, AMS special session on fractal geometry in pure and applied mathematics, in memory of Benoît Mandelbrot, Boston, MA, USA, January 2012, AMS special session on geometry and analysis on fractal spaces, Honolulu, HI, USA, March 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9148-3/pbk; 978-1-4704-1083-4/ebook). Contemporary Mathematics 601, 195-210 (2013). MSC: 82B41 60J67 60K35 PDF BibTeX XML Cite \textit{T. Kennedy} and \textit{G. F. Lawler}, Contemp. Math. 601, 195--210 (2013; Zbl 1321.82023) Full Text: DOI arXiv OpenURL
Duminil-Copin, Hugo Parafermionic observables and their applications to planar statistical physics models. (English) Zbl 1298.82001 Ensaios Matemáticos 25. Rio de Janeiro: Sociedade Brasileira de Matemática (ISBN 978-85-8337-014-7/hbk). 371 p. (2013). Reviewer: Utkir A. Rozikov (Tashkent) MSC: 82-02 82B41 82B20 00A79 82B43 PDF BibTeX XML Cite \textit{H. Duminil-Copin}, Parafermionic observables and their applications to planar statistical physics models. Rio de Janeiro: Sociedade Brasileira de Matemática (2013; Zbl 1298.82001) Full Text: Link OpenURL
Guttmann, Anthony J.; Jacobsen, Jesper L. A series test of the scaling limit of self-avoiding walks. (English) Zbl 1285.82044 J. Phys. A, Math. Theor. 46, No. 43, Article ID 435004, 16 p. (2013). Reviewer: Artem Sapozhnikov (Leipzig) MSC: 82C41 82B20 60J67 PDF BibTeX XML Cite \textit{A. J. Guttmann} and \textit{J. L. Jacobsen}, J. Phys. A, Math. Theor. 46, No. 43, Article ID 435004, 16 p. (2013; Zbl 1285.82044) Full Text: DOI arXiv OpenURL
Janse van Rensburg, E. J.; Whittington, S. G. Adsorbed self-avoiding walks subject to a force. (English) Zbl 1288.82028 J. Phys. A, Math. Theor. 46, No. 43, Article ID 435003, 15 p. (2013). Reviewer: Farruh Mukhamedov (Kuantan) MSC: 82B41 82B27 82D60 82B20 PDF BibTeX XML Cite \textit{E. J. Janse van Rensburg} and \textit{S. G. Whittington}, J. Phys. A, Math. Theor. 46, No. 43, Article ID 435003, 15 p. (2013; Zbl 1288.82028) Full Text: DOI arXiv OpenURL
Duminil-Copin, Hugo; Hammond, Alan Self-avoiding walk is sub-ballistic. (English) Zbl 1277.82027 Commun. Math. Phys. 324, No. 2, 401-423 (2013). MSC: 82B41 60K35 82B26 PDF BibTeX XML Cite \textit{H. Duminil-Copin} and \textit{A. Hammond}, Commun. Math. Phys. 324, No. 2, 401--423 (2013; Zbl 1277.82027) Full Text: DOI arXiv OpenURL
Clisby, Nathan Endless self-avoiding walks. (English) Zbl 1269.82026 J. Phys. A, Math. Theor. 46, No. 23, Article ID 235001, 32 p. (2013). MSC: 82B41 82B20 05C81 05A05 PDF BibTeX XML Cite \textit{N. Clisby}, J. Phys. A, Math. Theor. 46, No. 23, Article ID 235001, 32 p. (2013; Zbl 1269.82026) Full Text: DOI arXiv OpenURL
Suzuki, Fumika Fractional moment methods for Anderson localization with SAW representation. (English) Zbl 1267.82072 J. Phys. A, Math. Theor. 46, No. 12, Article ID 125008, 13 p. (2013). MSC: 82B44 PDF BibTeX XML Cite \textit{F. Suzuki}, J. Phys. A, Math. Theor. 46, No. 12, Article ID 125008, 13 p. (2013; Zbl 1267.82072) Full Text: DOI arXiv OpenURL
Iliev, G. K.; Orlandini, E.; Whittington, S. G. Pulling polymers adsorbed on a striped surface. (English) Zbl 1267.82145 J. Phys. A, Math. Theor. 46, No. 5, Article ID 055001, 16 p. (2013). MSC: 82D60 82B41 82B80 PDF BibTeX XML Cite \textit{G. K. Iliev} et al., J. Phys. A, Math. Theor. 46, No. 5, Article ID 055001, 16 p. (2013; Zbl 1267.82145) Full Text: DOI OpenURL
Beffara, Vincent Schramm-Loewner evolution and other conformally invariant objects. (English) Zbl 1325.60135 Ellwood, David (ed.) et al., Probability and statistical physics in two and more dimensions. Proceedings of the Clay Mathematics Institute summer school and XIV Brazilian school of probability, Búzios, Brazil, July 11–August 7, 2010. Providence, RI: American Mathematical Society (AMS); Cambridge, MA: Clay Mathematics Institute (ISBN 978-0-8218-6863-8/pbk). Clay Mathematics Proceedings 15, 1-48 (2012). MSC: 60J67 60K35 60G50 60-02 PDF BibTeX XML Cite \textit{V. Beffara}, Clay Math. Proc. 15, 1--48 (2012; Zbl 1325.60135) OpenURL
Nachmias, Asaf; Peres, Yuval Non-amenable Cayley graphs of high girth have \(p_c < p_u\) and mean-field exponents. (English) Zbl 1302.82056 Electron. Commun. Probab. 17, Paper No. 57, 8 p. (2012). MSC: 82B43 82B41 05C25 05C15 PDF BibTeX XML Cite \textit{A. Nachmias} and \textit{Y. Peres}, Electron. Commun. Probab. 17, Paper No. 57, 8 p. (2012; Zbl 1302.82056) Full Text: DOI arXiv OpenURL
Kennedy, Tom Simulating self-avoiding walks in bounded domains. (English) Zbl 1286.82014 J. Math. Phys. 53, No. 9, 095219, 12 p. (2012). MSC: 82B41 60G50 60J67 68U20 82-08 82B20 PDF BibTeX XML Cite \textit{T. Kennedy}, J. Math. Phys. 53, No. 9, 095219, 12 p. (2012; Zbl 1286.82014) Full Text: DOI arXiv OpenURL
Foster, D. P.; Pinettes, C. Surface critical behaviour of the vertex-interacting self-avoiding walk on the square lattice. (English) Zbl 1257.82047 J. Phys. A, Math. Theor. 45, No. 50, Article ID 505003, 16p. (2012). MSC: 82B41 82B27 82B28 82B20 PDF BibTeX XML Cite \textit{D. P. Foster} and \textit{C. Pinettes}, J. Phys. A, Math. Theor. 45, No. 50, Article ID 505003, 16p. (2012; Zbl 1257.82047) Full Text: DOI arXiv OpenURL
López Millán, Víctor M.; Cholvi, Vicent; López, Luis; Fernández Anta, Antonio A model of self-avoiding random walks for searching complex networks. (English) Zbl 1251.68037 Networks 60, No. 2, 71-85 (2012). MSC: 68M10 05C82 05C81 PDF BibTeX XML Cite \textit{V. M. López Millán} et al., Networks 60, No. 2, 71--85 (2012; Zbl 1251.68037) Full Text: DOI Link OpenURL
Duminil-Copin, Hugo; Smirnov, Stanislav The connective constant of the honeycomb lattice equals \(\sqrt{2+\sqrt 2}\). (English) Zbl 1253.82012 Ann. Math. (2) 175, No. 3, 1653-1665 (2012). Reviewer: Utkir Rozikov (Tashkent) MSC: 82B20 82B41 PDF BibTeX XML Cite \textit{H. Duminil-Copin} and \textit{S. Smirnov}, Ann. Math. (2) 175, No. 3, 1653--1665 (2012; Zbl 1253.82012) Full Text: DOI arXiv OpenURL
Beaton, Nicholas R.; Guttmann, Anthony J.; Jensen, Iwan A numerical adaptation of self-avoiding walk identities from the honeycomb to other 2D lattices. (English) Zbl 1246.82082 J. Phys. A, Math. Theor. 45, No. 3, Article ID 035201, 18 p. (2012). Reviewer: Nasir N. Ganikhodjaev (Kuantan) MSC: 82C41 82D25 82C80 PDF BibTeX XML Cite \textit{N. R. Beaton} et al., J. Phys. A, Math. Theor. 45, No. 3, Article ID 035201, 18 p. (2012; Zbl 1246.82082) Full Text: DOI arXiv OpenURL
Kennedy, Tom Transforming fixed-length self-avoiding walks into radial \(\text{SLE}_{8/3}\). (English) Zbl 1235.82027 J. Stat. Phys. 146, No. 2, 281-293 (2012). MSC: 82B41 82B80 PDF BibTeX XML Cite \textit{T. Kennedy}, J. Stat. Phys. 146, No. 2, 281--293 (2012; Zbl 1235.82027) Full Text: DOI arXiv OpenURL
Grimmett, Geoffrey Three theorems in discrete random geometry. (English) Zbl 1245.60093 Probab. Surv. 8, 403-441 (2011); erratum ibid. 9, 438 (2012). MSC: 60K35 82B43 PDF BibTeX XML Cite \textit{G. Grimmett}, Probab. Surv. 8, 403--441 (2011; Zbl 1245.60093) Full Text: DOI arXiv Euclid OpenURL
Rychlewski, G.; Whittington, S. G. Self-avoiding walks and polymer adsorption: low temperature behaviour. (English) Zbl 1375.82047 J. Stat. Phys. 145, No. 3, 661-668 (2011). MSC: 82B41 PDF BibTeX XML Cite \textit{G. Rychlewski} and \textit{S. G. Whittington}, J. Stat. Phys. 145, No. 3, 661--668 (2011; Zbl 1375.82047) Full Text: DOI OpenURL
Brydges, David; Slade, Gordon Renormalisation group analysis of weakly self-avoiding walk in dimensions four and higher. (English) Zbl 1230.82028 Bhatia, Rajendra (ed.) et al., Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19–27, 2010. Vol. IV: Invited lectures. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency (ISBN 978-981-4324-34-2/hbk; 978-81-85931-08-3/hbk; 978-981-4324-31-1/set; 978-981-4324-35-9/ebook). 2232-2257 (2011). MSC: 82B41 60K35 82B28 PDF BibTeX XML Cite \textit{D. Brydges} and \textit{G. Slade}, in: Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19--27, 2010. Vol. IV: Invited lectures. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency. 2232--2257 (2011; Zbl 1230.82028) Full Text: arXiv Link OpenURL
Smirnov, Stanislav Discrete complex analysis and probability. (English) Zbl 1251.30049 Bhatia, Rajendra (ed.) et al., Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19–27, 2010. Vol. I: Plenary lectures and ceremonies. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency (ISBN 978-981-4324-30-4/set; 978-81-85931-08-3/hbk; 978-981-4324-31-1/hbk; 978-981-4324-35-9/ebook). 595-621 (2011). Reviewer: Utkir Rozikov (Tashkent) MSC: 30G25 05C81 60K35 82B20 PDF BibTeX XML Cite \textit{S. Smirnov}, in: Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19--27, 2010. Vol. I: Plenary lectures and ceremonies. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency. 595--621 (2011; Zbl 1251.30049) Full Text: arXiv Link OpenURL
Dyhr, Ben; Gilbert, Michael; Kennedy, Tom; Lawler, Gregory F.; Passon, Shane The self-avoiding walk spanning a strip. (English) Zbl 1226.82024 J. Stat. Phys. 144, No. 1, 1-22 (2011). MSC: 82B41 82D60 82B20 PDF BibTeX XML Cite \textit{B. Dyhr} et al., J. Stat. Phys. 144, No. 1, 1--22 (2011; Zbl 1226.82024) Full Text: DOI arXiv OpenURL
Comets, Francis; Menshikov, Mikhail V.; Volkov, Stanislav; Wade, Andrew R. Random walk with barycentric self-interaction. (English) Zbl 1232.82007 J. Stat. Phys. 143, No. 5, 855-888 (2011). Reviewer: Achim Klenke (Mainz) MSC: 82B41 82D60 60K35 60K37 PDF BibTeX XML Cite \textit{F. Comets} et al., J. Stat. Phys. 143, No. 5, 855--888 (2011; Zbl 1232.82007) Full Text: DOI arXiv Link OpenURL
Hara, Takashi Critical behavior of stochastic geometric models and the lace expansion. (English) Zbl 1220.82015 Hara, Takashi (ed.) et al., Mathematical quantum field theory and renormalization theory. The Nishijin Plaza of Kyushu University, Fukuoka, Japan, November 26–29, 2009. Dedicated to Izumi Ojima and Kei-ichi Ito on the occasion of their 60th birthday. Fukuoka: Kyushu University, Faculty of Mathematics. COE Lecture Note 30, 162-177 (2011). MSC: 82B20 82B27 82B41 82B43 PDF BibTeX XML Cite \textit{T. Hara}, COE Lect. Note 30, 162--177 (2011; Zbl 1220.82015) OpenURL
Chen, Lung-Chi; Sakai, Akira Asymptotic behavior of the gyration radius for long-range self-avoiding walk and long-range oriented percolation. (English) Zbl 1228.60108 Ann. Probab. 39, No. 2, 507-548 (2011). Reviewer: Alexander V. Bulinski (Moskva) MSC: 60K35 82B41 82B43 PDF BibTeX XML Cite \textit{L.-C. Chen} and \textit{A. Sakai}, Ann. Probab. 39, No. 2, 507--548 (2011; Zbl 1228.60108) Full Text: DOI arXiv OpenURL
Heydenreich, Markus Long-range self-avoiding walk converges to \(\alpha\)-stable processes. (English. French summary) Zbl 1210.82055 Ann. Inst. Henri Poincaré, Probab. Stat. 47, No. 1, 20-42 (2011). MSC: 82C41 60G52 82B41 60J65 PDF BibTeX XML Cite \textit{M. Heydenreich}, Ann. Inst. Henri Poincaré, Probab. Stat. 47, No. 1, 20--42 (2011; Zbl 1210.82055) Full Text: DOI arXiv EuDML OpenURL
Alberts, Tom; Duminil-Copin, Hugo Bridge decomposition of restriction measures. (English) Zbl 1197.82055 J. Stat. Phys. 140, No. 3, 467-493 (2010). MSC: 82B41 60J65 60G55 PDF BibTeX XML Cite \textit{T. Alberts} and \textit{H. Duminil-Copin}, J. Stat. Phys. 140, No. 3, 467--493 (2010; Zbl 1197.82055) Full Text: DOI arXiv OpenURL