代表作
P.-D. Liu, (Survey) Dynamics of random transformations: Smooth ergodic theory, Erogd. Th. Dynam. Syst.21 (2001), 1279-1319.
P.-D. Liu, Entropy formula of Pesin type for noninvertible random dynamical systems, Math. Z. 230 (1999), 201-239
J. Bahnmuller, Pei-Dong Liu, Characterization of measures satisfying Pesin's entropy formula for random dynamical systems, J. Dynam. Diff. Equa. 10(3) (1998), 425-448
Pei-Dong Liu, Hong-Wen Zheng, Stochastic stability of generalized SRB measures of Axiom A basic sets, Proc. Amer. Math. Soc. 128 (2000),3541-3545
Pei-Dong Liu, Min Qian, Ruelle's inequality for the entropy of diffussion processes, Acta Math. Sinica (New Series), No. 2 (1993), 212-224
Pei-Dong Liu, Min Qian, Smooth Ergodic Theory of Random Dynamical Systems, Lec. Not. Math. 1606, Springer, 1995 (221 pages)
Pei-Dong Liu, Min-Ping Qian, Fu-Chang Tang, Pseudo-orbit tracing property for random diffeomorphisms, Proc, Roy. Soc. Edinburg 126A (1996), 1027-1033
Pesin's entropy fomula for stochastic flows of diffeomorphisms, Science in China 8 (1996), 820-833
Pesin's entropy formula for endomorphisms, Nagoya Math. J. 150 (1998), 1-13
Random perturbations of Axiom A basic sets, J. Stat. Phys. 90(1/2) (1998), 467-490
Stability of orbit spaces of endomorphisms, Manusc. Math. 93 (1997), 109-128.
P.-D. Liu, M. Qian and F.-X. Zhang. Entropy formula of Pesin type for one-sided stationary random maps. Ergod. Th. Dynam. Syst. 22(2002), 1831-1844.
D.-Q. Jiang, P.-D. Liu and M. Qian. Lyapunov exponents of hyperbolic attractors. Manuscript Math. 108 (2002), 43-67.
P.-D. Liu. Ruelle inequality relating entropy, folding entrropy and negative Lyapunov exponents. Commun. Math. Phys. (in press).
P.-D. Liu, Y. Zhao. Large deviations in random perturbations of Axiom A basic sets, J. London Math. Soc. (2) 68 (2003), no.1, 148-164..