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Smirnov: conformal invariance of critical triangular-lattice percolation

Contribution grade

Probability · THEOREM

Reference score225,000Provisional editorial estimate of this exact contribution; its grade is assessed separately.

What changed

Proved conformally invariant critical triangular-site-percolation crossing limits and Cardy's formula.

Scientific scope

The record is Smirnov's sole-author 2001 Comptes Rendus note and associated 2001 preprint. It does not absorb Cardy's prediction, Schramm's SLE construction, later full proofs and exponents, or universality for arbitrary lattices and models.

Evidence

The linked sources identify this contribution and its scope. WRS has not independently reconstructed the scientific claims. The record is Smirnov's sole-author 2001 Comptes Rendus note and associated 2001 preprint. It does not absorb Cardy's prediction, Schramm's SLE construction, later full proofs and exponents, or universality for arbitrary lattices and models.

Contributors

Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.

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