How do you use の as a de-facto が particle?

Question

Apparently の can be used as a de-facto が particle. Now this sorta makes sense as in Japanese the line between something defining scope (A は/が B), and some defining association (A の B), is vary thin.

That said, could someone explain to me when exactly you can use の in place of が, like it explains on Jisho.org, as I'm far to curious.

Answer 1

の and が are interchangeable at least in the following two cases:

• In a relative clause, の works as a subject marker just like が. This is fairly common and we hear this every day. See: How does the の work in 「日本人の知らない日本語」?
• In archaic Japanese, が worked like の that describes possession/belonging. There are still some fixed expressions and place names (such as 鬼が島) that still use が for this purpose. You may hear が used in this way in samurai dramas, too. You should not freely construct a phrase using this が. See: 「が」vs「の」 with possessives