SLE for theoretical physicists
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Publication:2484211
DOI10.1016/j.aop.2005.04.001zbMath1073.81068arXivcond-mat/0503313OpenAlexW3104376521WikidataQ56688694 ScholiaQ56688694MaRDI QIDQ2484211
Publication date: 1 August 2005
Published in: Annals of Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/cond-mat/0503313
Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Quantum stochastic calculus (81S25)
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Cites Work
- Unnamed Item
- Calogero-Sutherland model and bulk-boundary correlations in conformal field theory
- Exact solutions for Loewner evolutions
- Conformal field theory
- The Loewner equation: maps and shapes
- On stochastic evolutions and superconformal field theory
- A guide to stochastic Löwner evolution and its applications
- On the universality of crossing probabilities in two-dimensional percolation
- Scaling limits of loop-erased random walks and uniform spanning trees
- Critical exponents for two-dimensional percolation
- Conformal invariance of planar loop-erased random walks and uniform spanning trees.
- Hausdorff dimensions for SLE\(_6\).
- Laplacian growth as one-dimensional turbulence
- Critical percolation in finite geometries
- Critical percolation in the plane: conformal invariance, Cardy's formula, scaling limits
- Conformal invariance in two-dimensional percolation
- Conformally Invariant Fractals and Potential Theory
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