Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A New Quenched $XY$ model with Nonusual "Exotic" Interactions   Human beings live in a networked world in which information spreads very fast
thanks to the advances in technology. In the decision processes or opinion
formation there are different ideas of what is collectively good but they tend
to go against the self interest of a large amount of agents. Here we show that
the associated stochastic operator
($\mathfrak{\widehat{W^\aleph}}_{\rho,\Delta,r}$) proposed in [43] for describe
phenomena, does not belong to a CP (Contact Processes) universality class [35].
However, its mathematical structure corresponds to a new Exotic quantum XY
model, but unprecedently, their parameters is a "function" of the interaction
between the local sities $(i-1,i,i+1)$, and with the impurity present at the
same site $i$.

34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn