Where Planar Simple Random Walk Loses its Rotational Symmetry

Update: 2015-06-30

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.

Comments

In Channel

The master field in the plane

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Boundary Measures and Natural Time Parameterization for SLE

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Twin peaks

2015-06-3059:12

From Internal DLA to self-interacting walks

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Radial SLE martingale-observables

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$SLE Quantum Multifractality$

SLE Quantum Multifractality

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Loewner curvature

2015-06-3047:33

Scaling limit of the probability that loop-erased random walk uses a given edge

2015-06-3055:27

Welding of the Backward SLE and Tip of the Forward SLE

2015-06-3042:58

Return of the Multiplicative Coalescent

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Where Planar Simple Random Walk Loses its Rotational Symmetry

2015-06-3038:44

A (slightly) new look at the backbone

2015-06-2901:04:00

Scaling window of Bernoulli percolation on Z^d

2015-06-2901:04:00

A random walk proof of Kirchhoff's matrix tree theorem

2015-06-2939:54

Convergence of discrete holomorphic functions on non-uniform lattices

2015-06-2901:00:00

Double dimers

2015-06-2901:02:00

On Disconnection, random walks, random interlacements, and the Gaussian free field

2015-06-2901:03:00

Some news from the loop-soup front

2015-06-2901:15:00

Competitive erosion is conformally invariant

2015-06-2901:03:00

Liouville quantum gravity and the Brownian map

2015-06-2901:03:00

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Where Planar Simple Random Walk Loses its Rotational Symmetry

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Where Planar Simple Random Walk Loses its Rotational Symmetry

Vincenzo Abete

Where Planar Simple Random Walk Loses its Rotational Symmetry