Computing the Loewner driving process of random curves in the half plane

DOI10.1007/s10955-008-9535-xzbMath1214.82042arXivmath/0702071OpenAlexW1972525206MaRDI QIDQ937099

Tom Kennedy

Publication date: 20 August 2008

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0702071

zbMATH Keywords

Loewner equationSchramm-Loewner evolution (SLE)random curveszipper algorithm

Mathematics Subject Classification ID

Brownian motion (60J65) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41)

Related Items (7)

Schramm-Loewner evolution theory of the asymptotic behaviors of \((2 + 1)\)-dimensional wolf-villain model ⋮ Numerical computations for the Schramm-Loewner evolution ⋮ Numerical Tests of Schramm-Loewner Evolution in Random Lattice Spin Models ⋮ Fractal iso-contours of passive scalar in two-dimensional smooth random flows ⋮ CONFORMAL INVARIANCE OF CONTOUR LINES ON THE (2 + 1)-DIMENSIONAL RESTRICTED SOLID-ON-SOLID SURFACE ⋮ On the scaling behaviour and conformal properties of triangular Ising model with three-spin interactions at the critical point ⋮ The Loewner driving function of trajectory arcs of quadratic differentials

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• Convergence of a Variant of the Zipper Algorithm for Conformal Mapping

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