Conformal invariance in three dimensional percolation

@article{Gori2015ConformalII,
  title={Conformal invariance in three dimensional percolation},
  author={Giacomo Gori and Andrea Trombettoni},
  journal={Journal of Statistical Mechanics: Theory and Experiment},
  year={2015},
  volume={2015}
}
  • G. GoriA. Trombettoni
  • Published 27 April 2015
  • Mathematics
  • Journal of Statistical Mechanics: Theory and Experiment
The aim of the paper is to present numerical results supporting the presence of conformal invariance in three dimensional statistical mechanics models at criticality and to elucidate the geometric aspects of universality. As a case study we study three dimensional percolation at criticality in bounded domains. Both on discrete and continuous models of critical percolation, we test by numerical experiments the invariance of quantities in finite domains under conformal transformations focusing on… 

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