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Introduction to the Gaussian Free Field

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  • UserDr Jason Miller, MIT
  • ClockMonday 05 November 2012, 15:00-16:00
  • HouseMR2.

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The Gaussian free field (GFF) is a two-time dimensional analog of Brownian motion and is the canonical model for a two-dimensional fluctuating random interface. Just as the Brownian motion arises as the scaling limit of many different types of random curves, the GFF is the scaling limit of many different random surface models. Examples include the fluctuations of the dimer model and the log of the characteristic function of the Ginibre ensemble (random matrix ensemble with iid complex Gaussian entries).

This talk (one of three) will be an elementary introduction to the GFF and its basic properties.

This talk is part of the Cambridge Centre for Analysis talks series.

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