The m-z relation for Type Ia supernovae: safety in numbers or safely without worry?


We are interested in observing the average of various quantities, such as those corresponding to the cosmological parameters. However, all we can do is average our observations along several lines of sight. The relationship between these two things is in general complicated. Since the m-z relation for Type Ia supernovae indicates that the universe is close to being homogeneous, even on small scales, the question arises whether this is some sort of average over all the lines of sight involved or whether each line of sight is close to being a fair sample of the universe.

This is a pre-copyedited, author-produced version of an article accepted for publication in Monthly Notices of the Royal Astronomical Society following peer review. The version of record is available at the URLs mentioned on the abstract page, in my publication list, and at the basic-information page for this work.

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