Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Random walks with preferential relocations to places visited in the past
  and their application to biology   Strongly non-Markovian random walks offer a promising modeling framework for
understanding animal and human mobility, yet, few analytical results are
available for these processes. Here we solve exactly a model with long range
memory where a random walker intermittently revisits previously visited sites
according to a reinforced rule. The emergence of frequently visited locations
generates very slow diffusion, logarithmic in time, whereas the walker
probability density tends to a Gaussian. This scaling form does not emerge from
the Central Limit Theorem but from an unusual balance between random and
long-range memory steps. In single trajectories, occupation patterns are
heterogeneous and have a scale-free structure. The model exhibits good
agreement with data of free-ranging capuchin monkeys.

31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph