#### Title

Speedups Of Ergodic Group Extensions Of Zᵈ-Actions

#### Document Type

Article

#### Publication Date

4-1-2014

#### Published In

Dynamical Systems

#### Abstract

We define what it means to 'speed up' a-measure-preserving dynamical system, and prove that given any ergodic extension T-sigma of a -measure-preserving action by a locally compact, second countable group G, and given any second G-extension S-sigma of an aperiodic -measure-preserving action, there is a relative speedup of T-sigma, which is relatively isomorphic to S-sigma. Furthermore, we show that given any neighbourhood of the identity element of G, the aforementioned speedup can be constructed so that the transfer function associated with the isomorphism between the speedup and S-sigma almost surely takes values only in that neighbourhood.

#### Recommended Citation

Aimee S. A. Johnson and D. A. McClendon.
(2014).
"Speedups Of Ergodic Group Extensions Of Zᵈ-Actions".
*Dynamical Systems*.
Volume 29,
Issue 2.
255-284.

https://works.swarthmore.edu/fac-math-stat/65