Corpus ID: 116905434

Random planar curves and Schramm-Loewner evolutions

@article{Werner2003RandomPC,
  title={Random planar curves and Schramm-Loewner evolutions},
  author={W. Werner},
  journal={arXiv: Probability},
  year={2003}
}
  • W. Werner
  • Published 2003
  • Mathematics, Physics
  • arXiv: Probability
We review some of the results that have been derived in the last years on conformal invariance, scaling limits and properties of some two-dimensional random curves. In particular, we describe the intuitive ideas that lead to the definition of the Schramm-Loewner evolutions SLE, we define these objects, study its various properties, show how to compute (probabilities, critical exponents) using SLE, relate SLE to planar Brownian motions (i.e. the determination of the critical exponents), planar… Expand
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