In mathematics, the Parry–Daniels map is a function studied in the context of dynamical systems. Typical questions concern the existence of an invariant or ergodic measure for the map. [1]
It is named after the English mathematician Bill Parry [2] and the British statistician Henry Daniels, [3] who independently studied the map in papers published in 1962.
Given an integer n ≥ 1, let Σ denote the n- dimensional simplex in Rn+1 given by
Let π be a permutation such that
Then the Parry–Daniels map
is defined by
In mathematics, the Parry–Daniels map is a function studied in the context of dynamical systems. Typical questions concern the existence of an invariant or ergodic measure for the map. [1]
It is named after the English mathematician Bill Parry [2] and the British statistician Henry Daniels, [3] who independently studied the map in papers published in 1962.
Given an integer n ≥ 1, let Σ denote the n- dimensional simplex in Rn+1 given by
Let π be a permutation such that
Then the Parry–Daniels map
is defined by