Clusters as tracers of large scale structure (invited review)

Physics

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Clusters of galaxies are the most massive virialized structures we know of and, consequently, play an important role in the formation and evolution of their member galaxies. The optical and x-ray luminosities of clusters are substantial allowing relatively easy detection of these rich galaxy systems out to large redshifts. Clusters are also the sites of rare galaxy types such as the ultra-luminous brightest cluster galaxies and powerful radio galaxies. These properties make clusters potentially very efficient probes of structure in the universe. I will review our current constraints on large-scale structure that have been learned by using clusters as the primary mass tracer. I will do so by addressing the following questions: > What is a cluster? > How accurate are clusters as tracers of the underlying mass distribution? > How sensitive are the properties of clusters to the global cosmology? > What are the best constraints on the low-z moments of the cluster distribution and what do they tell us about the large-scale distribution of galaxies? > Do clusters provide significant constraints on very large scale structure (>~ 300 Mpc)? > What are the prospects for using clusters as tracers of structure at z ~ 1? > Are there really massive clusters at z ~ 1?

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