Ergodic theory; mathematical physics; statistical physics; random processes.
Main publications:
Markovskie tsepi, kosye proizvedeniya i ergodicheskie teoremy dlya obschikh dinamicheskikh sistem // Teoriya veroyatnostei i ee prilozheniya, 1965, 10, 551–557.
O spektre ergodicheskikh avtomorfizmov // DAN SSSR, 1966, 168, 1009–1011.
Kolmogorovskaya teoriya turbulentnosti i evolyutsiya sostoyanii sistem kletochnykh avtomatov tipa reshetochnogo gaza. Invariantnye sostoyaniya // Teoriya veroyatnostei i ee prilozheniya, 1989, 34,165–177.
Fast dynamo problem for a smooth map on a two-torus // Geophys. and Astrophys. Fluid Dynamics, 1993, 73, 133–145.