Stochastic Loewner Evolution: Linking Universality, Criticality and Conformal Invariance in Complex Systems

@inproceedings{Fogedby2007StochasticLE,
  title={Stochastic Loewner Evolution: Linking Universality, Criticality and Conformal Invariance in Complex Systems},
  author={Hans C. Fogedby},
  booktitle={Encyclopedia of Complexity and Systems Science},
  year={2007}
}
  • H. Fogedby
  • Published in
    Encyclopedia of Complexity…
    8 June 2007
  • Mathematics
Stochastic Loewner evolution also called Schramm Loewner evolution (abbreviated, SLE) is a rigorous tool in mathematics and statistical physics for generating and studying scale invariant or fractal random curves in two dimensions. The method is based on the older deterministic Loewner evolution introduced by Karl Loewner, who demonstrated that an arbitrary curve not crossing itself can be generated by a real function by means of a conformal transformation. In 2000 Oded Schramm extended this… 
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Stochastic games

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    Proceedings of the National Academy of Sciences
  • 2015
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