Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: One-point function estimates for loop-erased random walk in three
  dimensions   In this work, we consider loop-erased random walk (LERW) in three dimensions
and give an asymptotic estimate on the one-point function for LERW and the
non-intersection probability of LERW and simple random walk in three dimensions
for dyadic scales. These estimates will be crucial to the characterization of
the convergence of LERW to its scaling limit in natural parametrization. As a
step in the proof, we also obtain a coupling of two pairs of LERW and SRW with
different starting points conditioned to avoid each other.

31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas