I only barely understand this stuff (possibly I may a bit from an intuitive level but the mathematical details leave me in the dust--i know basics but can't do the proofs) but one of the most interesting papers I ever read was by G C Rota (co-author) in PNAS 1993--'stochastic interpretation of the Reimann Zeta function'. There are stochastic interpretations of Ricci flow too, among others. 'Randomness vs determinism'.