Harmonic Measure Exponents for Two-Dimensional Percolation

DOI10.1103/PhysRevLett.82.3940zbMath1042.82560arXivcond-mat/9901008OpenAlexW1549352327MaRDI QIDQ4492653

Bertrand Duplantier

Publication date: 16 July 2000

Published in: Physical Review Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/9901008

Mathematics Subject Classification ID

Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Percolation (82B43)

Related Items (14)

Statistical mechanics of confined polymer networks ⋮ A SIMPLIFIED ANALYTICAL MODEL FOR LAPLACIAN TRANSFER ACROSS DETERMINISTIC PREFRACTAL INTERFACES ⋮ Existence of the harmonic measure for random walks on graphs and in random environments ⋮ Exponents for Hamiltonian paths on random bicubic maps and KPZ ⋮ Complex generalized integral means spectrum of drifted whole-plane SLE and LLE ⋮ Liouville quantum gravity and KPZ ⋮ Almost sure multifractal spectrum of Schramm-Loewner evolution ⋮ Induced Chern-Simons term of a paired electron state in the quantum Hall system ⋮ Harmonic measure and winding of random conformal paths: a Coulomb gas perspective ⋮ Values of Brownian intersection exponents. II: Plane exponents ⋮ Dimension transformation formula for conformal maps into the complement of an SLE curve ⋮ Stochastic Lowner Evolution and the Scaling Limit of Critical Models ⋮ Conformally Invariant Fractals and Potential Theory ⋮ The coefficient problem and multifractality of whole-plane SLE \& LLE

Cites Work

• Conformal invariance of Voronoi percolation
• Critical percolation in finite geometries
• 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
• Conformal invariance in two-dimensional percolation
• Random Walks and Quantum Gravity in Two Dimensions

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