Ergodicity of a 2-to-1 baker map

Neemias S. Martins, Pouya Mehdipour


We encode a 2-to-l baker map using the so called zip shift map, defined on an extended two-sided symbolic space. Moreover show that the 2-to-l baker map is a (2,4)—Bernoulli  transformation. As an application, we show that it is strongly mixing and ergodic.  


Ergodic Theory; Deterministic Chãos; Bernoulli Transformations; Zip shift map.

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