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Critical exponents for two-dimensional percolation

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arxiv math/0109120 v2 pith:FHV7OMDC submitted 2001-09-18 math.PR math-phmath.MP

Stanislav Smirnov , Wendelin Werner This is my paper · ORCID
classification math.PRmath-phmath.MP
keywords criticalexponentsassociatedpercolationcardycombinedeterminationdetermine
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We show how to combine Kesten's scaling relations, the determination of critical exponents associated to the stochastic Loewner evolution process by Lawler, Schramm, and Werner, and Smirnov's proof of Cardy's formula, in order to determine the existence and value of critical exponents associated to percolation on the triangular lattice.

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Cited by 3 Pith papers

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    A new embedding-deformation method proves conformal invariance of the near-critical random bond Ising model for coupling fluctuations up to n^-1/3, far beyond the deterministic n^-1 window.

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    Centered random bond disorder preserves criticality in planar FK-percolation over windows much larger than the deterministic critical window, with the strongest case being Bernoulli percolation where disorder is asymp...

  3. Scalable accuracy gains from postselection in quantum error correcting codes

    cond-mat.stat-mech 2025-10 unverdicted novelty 6.0 of 10

    Postselection on typical syndromes in the toric code suppresses logical error rates from p_f to p_f^b with b approximately 3.1 via large-deviation arguments.

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