Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A non-Markovian model of rill erosion   We introduce a new model for rill erosion. We start with a network similar to
that in the Discrete Web and instantiate a dynamics which makes the process
highly non-Markovian. The behavior of nodes in the streams is similar to the
behavior of Polya urns with time-dependent input. In this paper we use a
combination of rigorous arguments and simulation results to show that the model
exhibits many properties of rill erosion; in particular, nodes which are deeper
in the network tend to switch less quickly.

11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol