He is well known for his work in randomness in computing, algorithmic complexity and intractability, average-case complexity, foundations of mathematics and computer science, algorithmic probability, theory of computation, and information theory.
He is well known for his work in randomness in computing, algorithmic complexity and intractability, average-case complexity, Leonid Levin. SIAM J. Comput., 15:285--286,1986 foundations of mathematics and computer science, algorithmic probability, theory of computation, and information theory.