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Discrete complex analysis and probability

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Most 2D lattice models (percolation, Ising, self-avoiding polymers) are conjectured to have conformally invariant scaling limits at critical temperatures, which was used by physicists in deriving many of their properties. Proving these conjectures requires finding “discrete conformal invariants” associated with the models.

We will discuss what is a “discrete complex analysis” and how it appears in probabilistic structures.

This talk is part of the Rollo Davidson Lectures series.

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