Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Displacement exponent for loop-erased random walk on the Sierpi\'nski
  gasket   We prove that loop-erased random walks on finite pre-Sierpinski gaskets can
be extended to the infinite pre-Sierpinski gasket by virtue of the
`erasing-larger-loops-first' method, and obtain the asymptotic behavior of the
walk as the number of steps increases, in particular, the displacement exponent
and a law of the iterated logarithm.

29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph