Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Self-attracting self-avoiding walk   This article is concerned with self-avoiding walks (SAW) on $\mathbb{Z}^{d}$
that are subject to a self-attraction. The attraction, which rewards instances
of adjacent parallel edges, introduces difficulties that are not present in
ordinary SAW. Ueltschi has shown how to overcome these difficulties for
sufficiently regular infinite-range step distributions and weak
self-attractions. This article considers the case of bounded step
distributions. For weak self-attractions we show that the connective constant
exists, and, in $d\geq 5$, carry out a lace expansion analysis to prove the
mean-field behaviour of the critical two-point function, hereby addressing a
problem posed by den Hollander.

27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th