Found 80 Documents (Results 1–80)
The work of Hugo Duminil-Copin. (English) Zbl 1536.01023
Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 1. Prize lectures. Berlin: European Mathematical Society (EMS). 26-49 (2023).
The scaling limit of the weakly self-avoiding walk on a high-dimensional torus. (English) Zbl 1533.82011
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
Statistical mechanics of confined polymer networks. (English) Zbl 1475.82023
Reviewer: Farruh Mukhamedov (Kuantan)
Bounding the number of self-avoiding walks: Hammersley-Welsh with polygon insertion. (English) Zbl 1453.60154
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).
On self-avoiding polygons and walks: the snake method via pattern fluctuation. (English) Zbl 1478.60262
SLE intersecting with random hulls. (Intersection de SLE avec une enveloppe aléatoire.) (English. French summary) Zbl 1412.60119
MSC:
60J65
A non-intersecting random walk on the Manhattan lattice and \(\mathrm{SLE}_{6}\). (English) Zbl 1421.82014
The exit distribution for smart kinetic walk with symmetric and asymmetric transition probability. (English) Zbl 1376.82088
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).
On the growth constant for square-lattice self-avoiding walks. (English) Zbl 1366.82023
Reviewer: Utkir A. Rozikov (Tashkent)
The SIAM 100-Digit Challenge: a decade later. Inspirations, ramifications, and other eddies left in its wake. (English) Zbl 1341.65001
On the probability that self-avoiding walk ends at a given point. (English) Zbl 1347.60131
Reviewer: Arvind Ayyer (Bangalore)
Critical two-point function of the 4-dimensional weakly self-avoiding walk. (English) Zbl 1320.82031
Greedy walk on the real line. (English) Zbl 1327.60176
Reviewer: Evsei Morozov (Petrozavodsk)
Conformal invariance predictions for the three-dimensional self-avoiding walk. (English) Zbl 1319.82010
The coefficient problem and multifractality of whole-plane SLE & LLE. (English) Zbl 1326.60119
Reviewer: Manuel D. de la Iglesia (México D. F.)
Logarithmic correction for the susceptibility of the 4-dimensional weakly self-avoiding walk: a renormalisation group analysis. (English) Zbl 1318.60049
MSC:
60G50
A solution space for a system of null-state partial differential equations. IV. (English) Zbl 1314.35190
Reviewer: Eugene Postnikov (Kursk)
A solution space for a system of null-state partial differential equations. I. (English) Zbl 1314.35188
Reviewer: Eugene Postnikov (Kursk)
Supercritical self-avoiding walks are space-filling. (English. French summary) Zbl 1292.60096
The critical fugacity for surface adsorption of self-avoiding walks on the honeycomb lattice is \(1+\sqrt{2}\). (English) Zbl 1288.82006
Excited Brownian motions as limits of excited random walks. (English) Zbl 1271.60052
Reviewer: Utkir Rozikov (Tashkent)
Numerical tests of Schramm-Loewner evolution in random lattice spin models. (English) Zbl 1251.82016
Henkel, Malte (ed.) et al., Conformal invariance: an introduction to loops, interfaces and stochastic Loewner evolution. Selected papers based on the presentations at the atelier “Modern applications of conformal invariance/Applications modernes de l’invariance conforme”, Nancy, France, March 2011. Berlin: Springer (ISBN 978-3-642-27933-1/pbk; 978-3-642-27934-8/ebook). Lecture Notes in Physics 853, 113-140 (2012).
The connective constant of the honeycomb lattice equals \(\sqrt{2+\sqrt 2}\). (English) Zbl 1253.82012
Reviewer: Utkir Rozikov (Tashkent)
Three theorems in discrete random geometry. (English) Zbl 1245.60093
Probab. Surv. 8, 403-441 (2011); erratum ibid. 9, 438 (2012).
A natural parametrization for the Schramm-Loewner evolution. (English) Zbl 1234.60087
Reviewer: Guy Jumarie (Montréal)
MSC:
60J67
Oded Schramm: from circle packing to SLE. (English) Zbl 1236.60004
Reviewer: Nicko G. Gamkrelidze (Moskva)
Random walk with barycentric self-interaction. (English) Zbl 1232.82007
Reviewer: Achim Klenke (Mainz)
A simple construction of Werner measure from chordal \(\mathrm{SLE}_{8/3}\). (English) Zbl 1259.60011
Exact sampling of self-avoiding paths via discrete Schramm-Loewner evolution. (English) Zbl 1295.60095
MSC:
60J67
Limit distributions and scaling functions. (English) Zbl 1180.82089
Guttmann, Anthony J. (ed.), Polygons, polyominoes and polycubes. Dordrecht: Springer (ISBN 978-1-4020-9926-7/hbk; 978-1-4020-9927-4/ebook). Lecture Notes in Physics 775, 247-299 (2009).
Stochastic Löwner evolution and the scaling limit of critical models. (English) Zbl 1180.82033
Guttmann, Anthony J. (ed.), Polygons, polyominoes and polycubes. Dordrecht: Springer (ISBN 978-1-4020-9926-7/hbk; 978-1-4020-9927-4/ebook). Lecture Notes in Physics 775, 425-467 (2009).
Polygons and the lace expansion. (English) Zbl 1180.82074
Guttmann, Anthony J. (ed.), Polygons, polyominoes and polycubes. Dordrecht: Springer (ISBN 978-1-4020-9926-7/hbk; 978-1-4020-9927-4/ebook). Lecture Notes in Physics 775, 117-142 (2009).
History and introduction to polygon models and polyominoes. (English) Zbl 1180.82079
Guttmann, Anthony J. (ed.), Polygons, polyominoes and polycubes. Dordrecht: Springer (ISBN 978-1-4020-9926-7/hbk; 978-1-4020-9927-4/ebook). Lecture Notes in Physics 775, 1-21 (2009).
Whole-plane self-avoiding walks and radial Schramm-Loewner evolution: a numerical study. (English) Zbl 1177.82061
The dimension of the SLE curves. (English) Zbl 1165.60007
Reviewer: Alexander V. Bulinski (Moskva)
SLE and \(\alpha \)-SLE driven by Lévy processes. (English) Zbl 1151.60025
Reviewer: Henri Schurz (Carbondale)
The conformally invariant measure on self-avoiding loops. (English) Zbl 1130.60016
Reviewer: Jiří Černý (Zürich)
The length of an SLE – Monte Carlo studies. (English) Zbl 1206.82063
MSC:
82C20
82C80
Restricting SLE(8/3) to an annulus. (English) Zbl 1129.60087
Reviewer: Dominique Lepingle (Orléans)
Boundary behavior of SLE. (English) Zbl 1198.60043
Correction-to-scaling exponents for two-dimensional self-avoiding walks. (English) Zbl 1093.82008
Reviewer: J. Kaupužs (Riga)
Girsanov’s transformation for \(\text{SLE}(\kappa,\rho)\) processes, intersection exponents and hiding exponents. (English) Zbl 1059.60099
Reviewer: Liliana Popa (Iaşi)
Hausdorff dimensions for SLE\(_6\). (English) Zbl 1055.60036
Reviewer: Ilya S. Molchanov (Bern)
Large deviations for the one-dimensional Edwards model. (English) Zbl 1052.60019
Reviewer: Mihai Gradinaru (Nancy)
SLEs as boundaries of clusters of Brownian loops. (English. Abridged French version) Zbl 1029.60085
MSC:
60K35
Conformal fields, restriction properties, degenerate representations and SLE. (English. Abridged French version) Zbl 1101.81095
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