Kaniadakis holographic dark energy
  We construct a holographic dark energy scenario based on Kaniadakis entropy,
which is a generalization of Boltzmann-Gibbs entropy that arises from
relativistic statistical theory and is characterized by a single parameter $K$
which quantifies the deviations from standard expressions. We extract the
differential equation that determines the evolution of the effective dark
energy density parameter, and we provide analytical expressions for the
corresponding equation-of-state and deceleration parameters. We show that the
universe exhibits the standard thermal history, with the sequence of matter and
dark-energy eras, while the transition to acceleration takes place at
$z\approx0.6$. Concerning the dark-energy equation-of-state parameter we show
that it can have a rich behavior, being quintessence-like, phantom-like, or
experience the phantom-divide crossing in the past or in the future. Finally,
in the far future dark energy dominates completely, and the asymptotic value of
its equation of state depends on the values of the two model parameters.
