Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pearson Walk with Shrinking Steps in Two Dimensions   We study the shrinking Pearson random walk in two dimensions and greater, in
which the direction of the Nth is random and its length equals lambda^{N-1},
with lambda<1. As lambda increases past a critical value lambda_c, the endpoint
distribution in two dimensions, P(r), changes from having a global maximum away
from the origin to being peaked at the origin. The probability distribution for
a single coordinate, P(x), undergoes a similar transition, but exhibits
multiple maxima on a fine length scale for lambda close to lambda_c. We
numerically determine P(r) and P(x) by applying a known algorithm that
accurately inverts the exact Bessel function product form of the Fourier
transform for the probability distributions.

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The categories of this paper are: math
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th