Lensing clusters of galaxies used as «gravitational telescopes» provide a unique and priviledged view of the Universe at z>7. The Luminosity Function derived from different photometric surveys in lensing and blank fields exhibit a strong evolution between z~7-8 and z~3-4,although the extent of this effect is still a matter of debate.One of the main issues,together with field-to-field variance, is the fact that all existing surveys,either space or ground-based, either in lensing or in blank fields, are still dramatically small in terms of effective surface (and corresponding surveyed covolume at high-z) compared to the needs in order to derive statistically significant results.
Strong lensing fields strongly improve the global efficiency of the survey with respect to blank fields, whereas the observation of wide blank fields is also needed to set strong constraints on the brightest end of the UV LF.
In this paper we present the state of the art and results of our ongoing surveys in lensing and blank field fields, including a discussion on the implications for the global star formation rate at z>7.
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