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From odometers to circular systems: A global structure theorem
Journal of Modern Dynamics
The main result of this paper is that two large collections of ergodic measure preserving systems, the Odometer Based and the Circular Systems have the same global structure with respect to joinings that preserve underlying timing factors. The classes are canonically isomorphic by a continuous map that takes synchronous and anti-synchronous factor maps to synchronous and anti-synchronous factor maps, synchronous and anti-synchronous measure-isomorphisms to synchronous and anti-synchronousdoi:10.3934/jmd.2019024 fatcat:gk4hebl2qbhxzc7khsufx7i2jm