Statistics of red sites on elastic and full backbone

@article{Sen1997StatisticsOR,
  title={Statistics of red sites on elastic and full backbone},
  author={Parongama Sen},
  journal={Physica A-statistical Mechanics and Its Applications},
  year={1997},
  volume={238},
  pages={39-48}
}
  • P. Sen
  • Published 2 March 1997
  • Materials Science
  • Physica A-statistical Mechanics and Its Applications
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SHOWING 1-10 OF 19 REFERENCES
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Introduction to percolation theory
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Thermal Phase Transition of the Dilute s -State Potts and n -Vector Models at the Percolation Threshold
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