Indeed, I could add :
High levels of H3K4me1, H3K4me2, and H3K4me3 are detected surrounding transcription start sites (TSSs), whereas H3K36me3 peaks near the 3' end of genes
(High-Resolution Profiling of Histone Methylations in the Human Genome, Artem Barski et al., 2007)
that's why in the study they've been looking for histone modification near the transcription start site (TSS).