Hi,
I am new as well, but think I can asnwer your question...you will find that the formal 'institution' associated with Rand's works is Objectivism not Libertarianism. The book 'Objectivism: The philosphy of Ayn Rand' by Leonard Peikoff will fill you in if you really want to get into the fundamentals but personally I like to admire her work from afar and not associate myself with the philospohy or the movement, unless of course there are people out there who consider themselves to be evolving objectivists rather than those who view it as a closed system, if so then I would love to hear from you all!