I also don't fully understand the question.
As Arvice says, Concerns are the equivalent of around-advice in AOP, with much more precise pointcut semantics. Although it is technically correct that a concern 'wraps' the underlying concerns/mixins, I prefer to not thinking of it as a 'wrapper' but an 'interceptor'. It is the incoming call that is handled. Conceptually slightly different, and it may not work for everyone.
It is also possible that both Concerns (stateless) and Mixins (stateful) implements only a subset of the methods in the interface they override, simply by making the class 'abstract'. Qi4j will fill in the missing (and unused) method calls. And any combination may be used.
Further, well implemented concerns should call the 'next', because they should be unaware of their actual uses. If the concerns are expected to take care of the method call. There must be a Mixin for each composite type method, or assembly will fail.
So in short;
1. A Mixin implementation may implement zero (a.k.a private mixins), one or more methods of the composite type interface.
2. A Concern may implement one or more methods of the composite type interface.
It is also interesting to note that when a class (mixin or concern) calls one of its own methods that are in the composite type interface, the call will not be intra-class, but call the composite from the outside, so the entire call stack is invoked, to ensure that an internal call and an external call are identical in results. Patterns exists if this needs to be bypassed.