The density of critical percolation clusters touching the boundaries of strips and squares

DOI10.1088/1742-5468/2007/06/P06012zbMath1456.82477arXiv0704.0901OpenAlexW2119680612MaRDI QIDQ5239366

Jacob J. H. Simmons, Peter Kleban, Kevin Dahlberg, Robert M. Ziff

Publication date: 22 October 2019

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.0901

zbMATH Keywords

conformal field theorydisordered systems (theory)classical Monte Carlo simulationscorrelation functions (theory)

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43)

Related Items (2)

A formula for crossing probabilities of critical systems inside polygons ⋮ A solution space for a system of null-state partial differential equations. I

Cites Work

• Unnamed Item
• Excursion decompositions for SLE and Watts' crossing formula
• Infinite conformal symmetry in two-dimensional quantum field theory
• On the universality of crossing probabilities in two-dimensional percolation
• Crossing probabilities and modular forms
• Higher conformal multifractality
• Conformal theory of the two-dimensional \(\text{O}(N)\) model with ordinary, extraordinary, and special boundary conditions
• TheXX-model with boundaries: III. Magnetization profiles and boundary bound states
• Critical percolation in finite geometries
• Critical percolation in the plane: conformal invariance, Cardy's formula, scaling limits
• Conformal off-diagonal boundary density profiles on a semi-infinite strip
• A crossing probability for critical percolation in two dimensions
• Conformal profiles in the Hilhorst-van Leeuwen model

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