deletions | additions       diff --git a/MAYBE_REMOVE_NEXT_PARAGRAPH_AND__.tex b/MAYBE_REMOVE_NEXT_PARAGRAPH_AND__.tex  index 2b89f96..ace6fcb 100644  --- a/MAYBE_REMOVE_NEXT_PARAGRAPH_AND__.tex  +++ b/MAYBE_REMOVE_NEXT_PARAGRAPH_AND__.tex 
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Most stars fall on the ``normal" upper branch of visibilities around 1.5 in  agreement with previous results \citep{Mosser_2011}.   The agreement with the theoretically predicted location of the  suppressed branch (black curve) is remarkable. This curve assumes that all the wave energy tunneling leaking  into the stellar core is trapped; the decrease of the suppression towards lower \numax\ is a consequence of the increasingly weaker coupling between acoustic waves in the envelope and gravity waves in the core as stars evolve (Fuller et al. 2015). With this large stellar sample we can separate the stars by   mass into the five panels of Fig.2, which clearly shows that the relative  population on the lower branch (suppressed stars) is strongly mass dependent.