What is the ruling on repeatedly swearing to divorce, and what are the implications of saying to one's wife, "You are divorced," three times, given that the wife refuses to leave the house?

If a man says to his wife, "You are divorced" three times, this counts as a single divorce. The divorce you uttered is an explicit divorce, not open to interpretation as an oath, and you confirmed that you said it while in full possession of your mental faculties. If you had divorced her twice before this instance, then your wife has become irrevocably separated from you.