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Abstract
In this paper, we use the joint measurement of geometry and growth rate from matter
density perturbations to constrain the holographic dark energy model. The geometry
measurement includes type Ia supernovae (SN Ia) Union2.1, full information of cosmic
microwave background (CMB) from WMAP-7yr and baryon acoustic oscillation (BAO). For
the growth rate of matter density perturbations, the results \(f(z)\sigma_8(z)\) measured
from the redshift-space distortion (RSD) in the galaxy power spectrum are employed.
Via the Markov Chain Monte Carlo method, we try to constrain the model parameters
space. The jointed constraint shows that \(c=0.750_{- 0.0999- 0.173- 0.226}^{+ 0.0976+
0.215+ 0.319}\) and \(\sigma_8=0.763_{- 0.0465- 0.0826- 0.108}^{+ 0.0477+ 0.0910+ 0.120}\)
with \(1,2,3\sigma\) regions. After marginalizing the other irrelevant model parameters,
we show the evolution of the equation of state of HDE with respect to the redshift
\(z\). Though the current cosmic data points favor a phantom like HDE Universe for the
mean values of the model parameters in the future, it can behave like quintessence
in \(3\sigma\) regions.