Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Intricate dynamics of a deterministic walk confined in a strip   We study the dynamics of a deterministic walk confined in a narrow
two-dimensional space randomly filled with point-like targets. At each step,
the walker visits the nearest target not previously visited. Complex dynamics
is observed at some intermediate values of the domain width, when, while
drifting, the walk performs long intermittent backward excursions. As the width
is increased, evidence of a transition from ballistic motion to a weakly
non-ergodic regime is shown, characterized by sudden inversions of the drift
velocity with a probability slowly decaying with time, as $1/t$ at leading
order. Excursion durations, first-passage times and the dynamics of unvisited
targets follow power-law distributions. For parameter values below this scaling
regime, precursory patterns in the form of "wild" outliers are observed, in
close relation with the presence of log-oscillations in the probability
distributions. We discuss the connections between this model and several
evolving biological systems.

29
The categories of this paper are: funct-an
2
The categories of this paper are: math
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga