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The scaling limits of near-critical and dynamical percolation - MaRDI portal

The scaling limits of near-critical and dynamical percolation (Q1751616)

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The scaling limits of near-critical and dynamical percolation
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    The scaling limits of near-critical and dynamical percolation (English)
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    25 May 2018
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    The authors prove that near-critical percolation and dynamical percolation on the triangular lattice \(\eta \mathbb{T}\) have a scaling limit as the mesh \(\eta\) tends to 0, in the ``quad-crossing'' space \(\mathcal{H}\) of percolation configurations introduced by the third author and \textit{J. E. Steif} [Ann. Math. (2) 171, No. 2, 619--672 (2010; Zbl 1213.60160)].
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    statistical mechanics
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    percolation
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    dynamical percolation
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    critical and near-critical percolation
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    conformal invariance
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    scaling limit
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