Cosmological constraints from the redshift distribution of galaxy clusters

As they are the largest virialized structures formed in the universe, galaxy clusters are good probes of evolution of dark matter haloes since their formation from the fluctuation of the CMB. While the local cluster abundance allows us to constrain the shape and amplitude of the mass distribution regarding to the matter density, their redshift distribution is much more sensitive to the matter density of the universe and allows us to break the degeneracy. Here I compare the modelized distribution of clusters with existing catalogs such as EMSS to derive constraints on ΩM, σ8 and γ.