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Titles listCritical percolation in the plane : I. Conformal invariance and Cardy's formula. II. Continuum...
Titles listCritical percolation in the plane : I. Conformal invariance and Cardy's formula. II. Continuum...
Preprint
unige:24405 
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Critical percolation in the plane : I. Conformal invariance and Cardy's formula. II. Continuum scaling limit |
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| Author | ||
| Year | 2001 | |
| Abstract | We study scaling limits and conformal invariance of critical site percolation on triangular lattice. We show that some percolation-related quantities are harmonic conformal invariants, and calculate their values in the scaling limit. As a particular case we obtain conformal invariance of the crossing probabilities and Cardy's formula. Then we prove existence, uniqueness, and conformal invariance of the continuum scaling limit. | |
| Identifiers | arXiv: 0909.4499 | |
| Note | This is a copy of an old preprint from 2001, which I will perhaps update in the future | |
| Full text | ||
| Structures | ||
| Citation (ISO format) | SMIRNOV, Stanislav. Critical percolation in the plane : I. Conformal invariance and Cardy's formula. II. Continuum scaling limit. 2001. https://archive-ouverte.unige.ch/unige:24405 |
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