DiscoverRandom GeometryWhere Planar Simple Random Walk Loses its Rotational Symmetry
Where Planar Simple Random Walk Loses its Rotational Symmetry

Where Planar Simple Random Walk Loses its Rotational Symmetry

Update: 2015-06-30
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Description

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.
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Where Planar Simple Random Walk Loses its Rotational Symmetry

Where Planar Simple Random Walk Loses its Rotational Symmetry

Cambridge University