I am looking for pedagogic references (textbook, review/expository articles, lecture notes, etc.) explaining the cavity method in detail.
I am talking specifically about this:
and applications into algorithmic or many other areas that have arised from this method.
I have read this book:
Mezard, Marc, and Andrea Montanari. Information, physics, and computation. Oxford University Press, 2009.
but the presentation is sometimes too mathematical and notationally heavy. I am just looking for complementary references.