Hölder regularity of the SLE trace

DOI10.1090/S0002-9947-08-04327-4zbMath1141.60066MaRDI QIDQ3508029

Joan R. Lind

Publication date: 27 June 2008

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Diffusion processes (60J60) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41)

Related Items (16)

Convergence of loop-erased random walk in the natural parameterization ⋮ Multiple backward Schramm-Loewner evolution and coupling with Gaussian free field ⋮ Singular paths spaces and applications ⋮ An almost sure KPZ relation for SLE and Brownian motion ⋮ A support theorem for SLE curves ⋮ Almost sure multifractal spectrum for the tip of an SLE curve ⋮ On the continuity of \(\text{SLE}_{\kappa}\) in \(\kappa\) ⋮ Optimal Hölder exponent for the SLE path ⋮ Note on the existence and modulus of continuity of the SLE\(_8\) curve ⋮ ON THE REGULARITY OF SLE TRACE ⋮ Almost sure multifractal spectrum of Schramm-Loewner evolution ⋮ Optimal Hölder continuity and dimension properties for SLE with Minkowski content parametrization ⋮ Dimension transformation formula for conformal maps into the complement of an SLE curve ⋮ Boundary behavior of SLE ⋮ Harmonic measure and SLE ⋮ Minkowski content and natural parameterization for the Schramm-Loewner evolution

Cites Work

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• The Loewner equation: maps and shapes
• The dimension of the SLE curves
• Scaling limits of loop-erased random walks and uniform spanning trees
• Conformal invariance of planar loop-erased random walks and uniform spanning trees.
• Basic properties of SLE
• Stochastic differential equations. An introduction with applications.
• Values of Brownian intersection exponents. II: Plane exponents

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