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Where Planar Simple Random Walk Loses its Rotational Symmetry

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Random Geometry

Local central limit theorems for random walks come in several shapes and forms. Lawler’s books contain a number of versions which are very precise at and somewhat beyond the typical range for random walk. In this talk, I will give a detailed description of what happens for a large range of atypical points for simple random walk and will show where and how the walk loses its approximate rotational symmetry.

This talk is part of the Isaac Newton Institute Seminar Series series.

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