Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Deterministic walk in an excited random environment   Deterministic walk in an excited random environment is a non-Markov
integer-valued process $(X_n)_{n=0}^{\infty}$, whose jump at time $n$ depends
on the number of visits to the site $X_n$. The environment can be understood as
stacks of cookies on each site of $\mathbb Z$. Once all cookies are consumed at
a given site, every subsequent visit will result in a walk taking a step
according to the direction prescribed by the last consumed cookie. If each site
has exactly one cookie, then the walk ends in a loop if it ever visits the same
site twice. If the number of cookies per site is increased to two, the walk can
visit a site infinitely many times and still not end in a loop. Nevertheless
the moments of $X_n$ are sub-linear in $n$ and we establish monotonicity
results on the environment that imply large deviations.

31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an