Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The relativistic Hopfield model with correlated patterns   In this work we introduce and investigate the properties of the
"relativistic" Hopfield model endowed with temporally correlated patterns.
First, we review the "relativistic" Hopfield model and we briefly describe the
experimental evidence underlying correlation among patterns. Then, we face the
study of the resulting model exploiting statistical-mechanics tools in a
low-load regime. More precisely, we prove the existence of the thermodynamic
limit of the related free-energy and we derive the self-consistence equations
for its order parameters. These equations are solved numerically to get a phase
diagram describing the performance of the system as an associative memory as a
function of its intrinsic parameters (i.e., the degree of noise and of
correlation among patterns). We find that, beyond the standard retrieval and
ergodic phases, the relativistic system exhibits correlated and symmetric
regions -- that are genuine effects of temporal correlation -- whose width is,
respectively, reduced and increased with respect to the classical case.

18
The categories of this paper are: econ
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci