Conformally Invariant Fractals and Potential Theory
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Publication:4492699
DOI10.1103/PhysRevLett.84.1363zbMath1042.82577arXivcond-mat/9908314OpenAlexW2046308667WikidataQ52073210 ScholiaQ52073210MaRDI QIDQ4492699
Publication date: 17 July 2000
Published in: Physical Review Letters (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/cond-mat/9908314
Related Items (43)
SLE\(_{\kappa }\) growth processes and conformal field theories ⋮ Spanning forests on random planar lattices ⋮ Girsanov's transformation for \(\text{SLE}(\kappa,\rho)\) processes, intersection exponents and hiding exponents. ⋮ Multifractal structure of the harmonic measure of diffusion-limited aggregates ⋮ Numerical Tests of Schramm-Loewner Evolution in Random Lattice Spin Models ⋮ Geometrical vs. Fortuin--Kasteleyn clusters in the two-dimensional \(q\)-state Potts model ⋮ An almost sure KPZ relation for SLE and Brownian motion ⋮ Hamiltonian cycles on bicolored random planar maps ⋮ Counting function fluctuations and extreme value threshold in multifractal patterns: the case study of an ideal \(1/f\) noise ⋮ Statistical mechanics of confined polymer networks ⋮ Existence of the harmonic measure for random walks on graphs and in random environments ⋮ Exponents for Hamiltonian paths on random bicubic maps and KPZ ⋮ Geometric exponents of dilute loop models ⋮ Complex generalized integral means spectrum of drifted whole-plane SLE and LLE ⋮ Liouville quantum gravity and KPZ ⋮ Another derivation of the geometrical KPZ relations ⋮ SLE local martingales in logarithmic representations ⋮ Critical behavior of the geometrical spin clusters and interfaces in the two-dimensional thermalized bond Ising model ⋮ A morphological study of cluster dynamics between critical points ⋮ Spin clusters and conformal field theory ⋮ Average harmonic spectrum of the whole-plane SLE ⋮ The dimension of the SLE curves ⋮ On the scaling behaviour and conformal properties of triangular Ising model with three-spin interactions at the critical point ⋮ Almost sure multifractal spectrum of Schramm-Loewner evolution ⋮ Recent advances in percolation theory and its applications ⋮ Logarithmic coefficients and generalized multifractality of whole-plane SLE ⋮ Integral means spectrum of whole-plane SLE ⋮ SLE for theoretical physicists ⋮ Complex multifractal measures and a generalized multifractal formalism ⋮ Geometric and stochastic clusters of gravitating Potts models ⋮ Harmonic measure and winding of random conformal paths: a Coulomb gas perspective ⋮ Dimension transformation formula for conformal maps into the complement of an SLE curve ⋮ Stochastic Loewner evolution driven by Lévy processes ⋮ Stochastic Lowner Evolution and the Scaling Limit of Critical Models ⋮ FRACTAL DIMENSIONS AND CORRECTIONS TO SCALING FOR CRITICAL POTTS CLUSTERS ⋮ Global properties of stochastic Loewner evolution driven by Lévy processes ⋮ Boundary behavior of SLE ⋮ On integrability and exact solvability in deterministic and stochastic Laplacian growth ⋮ Harmonic measure and SLE ⋮ The topology of \(\mathrm{SLE}_{\kappa}\) is random for \(\kappa > 4\) ⋮ The coefficient problem and multifractality of whole-plane SLE \& LLE ⋮ Stochastic Loewner evolutions, Fuchsian systems and orthogonal polynomials ⋮ Non-unitary observables in the 2D critical Ising model
Cites Work
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- Fractal measures and their singularities: The characterization of strange sets
- On the Distortion of Boundary Sets Under Conformal Mappings
- Intermittent turbulence in self-similar cascades: divergence of high moments and dimension of the carrier
- Critical exponents near a random fractal boundary
- Random Walks and Quantum Gravity in Two Dimensions
- Harmonic Measure Exponents for Two-Dimensional Percolation
- Two-dimensional Brownian motion and harmonic functions
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