21. His main scientific interest during these years was in ergodic theory and dynamical systems. 22. These elements have been used in the investigation of geometric and ergodic theoretic questions. 23. In the mathematical specialty ergodic theory, a fundamental tool is called the Kakutani skyscraper. 24. The concepts of ergodicity and the ergodic hypothesis are central to applications of ergodic theory. 25. The concepts of ergodicity and the ergodic hypothesis are central to applications of ergodic theory. 26. The density Hales Jewett theorem was originally proved by Furstenberg and Katznelson using ergodic theory. 27. The multiplicative ergodic theorem is stated in terms of matrix cocycles of a dynamical system. 28. Adler studies dynamical systems, ergodic theory, symbolic and topological dynamics and coding theory. 29. Kingman's subadditive ergodic theorem can be used to prove statements about Lyapunov exponents. 30. Assani's research concerns ergodic theory.
