Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Power-law random walks   We present some new results about the distribution of a random walk whose
independent steps follow a $q-$Gaussian distribution with exponent
$\frac{1}{1-q}; q \in \mathbb{R}$. In the case $q>1$ we show that a stochastic
representation of the point reached after $n$ steps of the walk can be
expressed explicitly for all $n$. In the case $q<1,$ we show that the random
walk can be interpreted as a projection of an isotropic random walk, i.e. a
random walk with fixed length steps and uniformly distributed directions.

28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
2
The categories of this paper are: math
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg