I agree but I think there are strong theoretical considerations that should lead us to expect such an effect on marriage, and then other excellent reasons to expect that this would have an adverse effect on assimilation.
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In France we have the worst of both worlds: for various reasons data is often lacking, and even when it exists, you usually have to go through gatekeepers who, shall we say, are not exactly ideologically neutral...
One needs a Danish professor to get the Danish register data. I've spent >3 years looking for a professor who wants to study it with me...
