Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Coalescing directed random walks on the backbone of a 1 +1-dimensional
  oriented percolation cluster converge to the Brownian web   We consider the backbone of the infinite cluster generated by supercritical
oriented site percolation in dimension 1 +1. A directed random walk on this
backbone can be seen as an "ancestral line" of an individual sampled in the
stationary discrete-time contact process. Such ancestral lineages were
investigated in [BCDG13] where a central limit theorem for a single walker was
proved. Here, we consider infinitely many coalescing walkers on the same
backbone starting at each space-time point. We show that, after diffusive
rescaling, the collection of paths converges in distribution to the Brownian
web. Hence, we prove convergence to the Brownian web for a particular system of
coalescing random walks in a dynamical random environment. An important tool in
the proof is a tail bound on the meeting time of two walkers on the backbone,
started at the same time. Our result can be interpreted as an averaging
statement about the percolation cluster: apart from a change of variance, it
behaves as the full lattice, i.e. the effect of the "holes" in the cluster
vanishes on a large scale.

22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph