His accomplishments included a classic paper on the entropy theory of dynamical systems which introduced the maximal partition with zero entropy, later known as Pinsker's partition. His work in mathematical statistics was devoted mostly to the applications of information theory, including asymptotically sufficient statistics for parameter estimation and nonparametric estimation. He also produced notable results in the theory of switching networks and complexity problems in coding theory.
"Theory of curves in Hilbert space with stationary increments of order " Izv. Akad. Nauk SSSR Ser. Mat., 19, 1955.
"Динамические системы с вполне положительной и нулевой энтропией" [Dynamical systems with completely positive and zero entropy]. Doklady Akademii Nauk SSSR133 (5): 1025–1026. 1960.
Information and information stability of random variables and processes, translated and edited by Amiel Feinstein, Holden-Day, San Francisco, 1964.
L. A. Bassalygo and M. S. Pinsker, "The complexity of an optimal non-blocking commutation scheme without reorganization", Problemy Peredaci Informacii, 9(1):84-87, 1973. Translated into English in Problems of Information Transmission, 9 (1974) 64-66.
M. S. Pinsker. "On the complexity of a concentrator", 7th International Teletraffic Conference, pages 318/1-318/4, 1973.
"Estimation of error-correction complexity of Gallager low-density codes", Problems of Information Transmission, 11:18—28, 1976.