In a Buddhist perspective how do we recall memories of this life and beyond?

What is the Buddhist perspective on how we store and recall memories of this life and beyond? Since there is not solid core (Atman) as in the Hindu perspective which all such memories are stored and all cognitive phenomena pass away and arise again, how does the transmission, persistence and recollection of memory work. How does this compare with modern perspectives of it? This question inspired by: The complexity of memory hence would like to see some comparison of some of the ideas in these talks being also discussed in the answer with regard to comparison with the modern perspectives.