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Random geodesics for the corner growth model

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The corner growth model describes the temporal evolution of a random cluster in the first quadrant. The dynamics for the evolution arise from queuing theory and they define, in a very precise way, random spanning trees of the quadrant. We study a.s. properties of these spanning trees (for example whether infinite paths exist or not, how many infinite paths exist, their fluctuations around given directions and so on). The general theory and ideas will be highlighted through an exactly solvable example.This is joint work with F. Rassoul-Agha and T. Seppalainen.

This talk is part of the Probability series.

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