Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Leaf-excluded percolation in two and three dimensions   We introduce the \emph{leaf-excluded} percolation model, which corresponds to
independent bond percolation conditioned on the absence of leaves (vertices of
degree one). We study the leaf-excluded model on the square and simple-cubic
lattices via Monte Carlo simulation, using a worm-like algorithm. By studying
wrapping probabilities, we precisely estimate the critical thresholds to be
$0.355\,247\,5(8)$ (square) and $0.185\,022(3)$ (simple-cubic). Our estimates
for the thermal and magnetic exponents are consistent with those for
percolation, implying that the phase transition of the leaf-excluded model
belongs to the standard percolation universality class.

22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph