I'm looking for empirics-oriented papers on paedophilia and rape. My questions are:

-Whether access to any form of CP (such as in computer games) decreases or increases the likelihood of acting on pedophilia in real world, i.e, if pedophiles had have access to games or videos that has adult-child sexual relationship, would they eventually act out on real world because they'd want the real experience, or would this access can prevent them on acting out in real world?

-The same question, but for rape

-If a person has violent sexual fantasies (such as rape fantasy) and have means to realize this fantasy (i.e, the significant other agrees to participate in such fantasies), would they eventually want to realize this in the real world?

I know these are somewhat taboo subjects and studying this questions quantitatively is very very hard due to various reasons. I wouldn't be surprised if there weren't any research that tries to address these but on the off chance that there are, I'd like to read them.