When a new user is added to a distribution list, (s)he does not automatically see all the items (calendars, wiki, briefcases, mailboxes) that are shared with the distribution list. Searching the forums and wiki, I found, however, that those shared items can be provisioned to the new user using zmmailbox (see the last paragraph of Zmmailbox - Zimbra :: Wiki.
To do that I need a list items shared to the distribution list. How can the administrator find out which items are shared to a distribution list? zmmailbox offers the posibility to view folder grants, but that only works per user, per item.