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Smirnov: conformal invariance of critical triangular-lattice percolation

Proved conformal invariance of crossing probabilities for critical site percolation on the triangular lattice and derived Cardy's formula, with continuum scaling statements in the work's setting.

What is recorded here?

Proved conformal invariance of crossing probabilities for critical site percolation on the triangular lattice and derived Cardy's formula, with continuum scaling statements in the work's setting.

Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.

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.

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People and systems

Stanislav Smirnov

The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.

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Documented countries / regions: Sweden

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English catalogue narrative

Smirnov: conformal invariance of critical triangular-lattice percolation

Proved conformal invariance of crossing probabilities for critical site percolation on the triangular lattice and derived Cardy's formula, with continuum scaling statements in the work's setting.

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.

Reading status

This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.

People and systems

Stanislav Smirnov

The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.

Original sources