Abstract:Let
$\theta $
be an irrational real number. The map
$T_\theta : y \mapsto (y+\theta ) \,\mod \!\!\: 1$
from the unit interval
$\mathbf {I} = [0,1[$
(endowed with the Lebesgue measure) to itself is ergodic. In 2002, Rudolph and Hoffman showed in [Uniform endomorphisms which are isomorphic to a Bernoulli shift. Ann. of Math. (2) 156(1) (2002), 79–101] that the measure-preserving map
$[T_\theta ,\mathrm {Id}]$… Show more
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