Recent results in the Shannon theory

The first part of this paper consists of short summaries of recent work in five rather traditional areas of the Shannon theory, namely: 1) source and channel coding theorems for new situations; 2) calculation of source rate and channel capacity; 3) channel coding with feedback; 4) source coding; 5) universal coding. The second part of thc paper consists of a relatively detailed discussion of some aspects of the area that the author considers to be the most dynamic and exciting in the Shannon theory: multiple-user communication. The discussion here includes "multiple-access channels," "broadcast channels," and various source coding problems with multiple-user constraints.