Who owns books written by AI?

I'm curious to know, who exactly owns the books that are written by artificial intelligence? Are the rights to these works automatically granted to the creators of the AI systems, or do they belong to the publishers who bring them to market? Is there a specific legal framework in place that governs ownership of AI-generated content, or is this still a gray area in the law? It's an interesting question that I'm sure many in the publishing and literary industries are grappling with as AI technology continues to evolve and advance.