I'm studying chaos and I got stuck on following:
'the Bernoulli shift map is topologically conjugate to the tent map' e.g. Wikipedia.
I tried finding the conjugacy function C(x) such that:
C(f(x))=g(C(x)) with f(x) the tent map and g(x) the Bernoulli shift map
to proof that this indeed was valid, but I don't seem to find a valid C(x).
I searched online in the hope that I could find the answer there but without luck.
Does someone know the answer to my question? Or is it really untrivial to find such a C(x)?