Critical Percolation

Helen Lei

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Some lecture notes on critical percolation, starting from the beginning and ending with Kesten's scaling relations.

I. Introduction and Existence of Phase Transition

II. Basic Techniques

III. Rescaling and Scale Invariance

IV. Characteristic Length and $p_c = 1/2$

V. "Fences and Corridors"

VI. Universal Arm Exponents

VII. Variation of Parameter

VIII. Kesten's Scaling Relations

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