Found 72 Documents (Results 1–72)
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
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
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)
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
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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