4,931 research outputs found
The Impact of Social Curiosity on Information Spreading on Networks
Most information spreading models consider that all individuals are identical
psychologically. They ignore, for instance, the curiosity level of people,
which may indicate that they can be influenced to seek for information given
their interest. For example, the game Pok\'emon GO spread rapidly because of
the aroused curiosity among users. This paper proposes an information
propagation model considering the curiosity level of each individual, which is
a dynamical parameter that evolves over time. We evaluate the efficiency of our
model in contrast to traditional information propagation models, like SIR or
IC, and perform analysis on different types of artificial and real-world
networks, like Google+, Facebook, and the United States roads map. We present a
mean-field approach that reproduces with a good accuracy the evolution of
macroscopic quantities, such as the density of stiflers, for the system's
behavior with the curiosity. We also obtain an analytical solution of the
mean-field equations that allows to predicts a transition from a phase where
the information remains confined to a small number of users to a phase where it
spreads over a large fraction of the population. The results indicate that the
curiosity increases the information spreading in all networks as compared with
the spreading without curiosity, and that this increase is larger in spatial
networks than in social networks. When the curiosity is taken into account, the
maximum number of informed individuals is reached close to the transition
point. Since curious people are more open to a new product, concepts, and
ideas, this is an important factor to be considered in propagation modeling.
Our results contribute to the understanding of the interplay between diffusion
process and dynamical heterogeneous transmission in social networks.Comment: 8 pages, 5 figure
A viable gravity model without oscillations in the effective dark energy
In this study, we propose a reparameterization of a specific viable
gravity model to represent it as a perturbation of the CDM model. The
gravity model under consideration includes two parameters, and ,
which control how close the proposed model can be to CDM, allowing for
arbitrary proximity. Furthermore, it is shown that the Hu-Sawicki (HS) model is
a limiting case of this reparameterized model. Following the existing
literature, we also derive an analytical approximation for the expansion rate
, which shows an excellent agreement between this analytical
approximation and the numerical solution over a wide range of redshifts for
realistic values of the deviation parameter . By appropriately selecting
values for the model parameters, we plot the cosmological parameters
, , , and , as well as the
statefinder quantities , , , and . We find that their present
values (at ) are consistent with the observations from Planck 2018 and the
values predicted by the CDM model. It is important to note that the
examined cosmological and statefinder parameters do not exhibit significant
oscillations of effective dark energy, which could lead to singular and
unphysical solutions at high redshifts. This anomalous behavior has been
avoided here by utilizing the approximate analytical solution for .
Additionally, we conduct a detailed analysis of the evolution of matter density
perturbations within the introduced gravity model. The results
demonstrate that this viable gravity model is practically
indistinguishable from the CDM model at the background level.Comment: 21 pages, 22 figures, 1 tabl
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