An iterated map is a map that is applied repeatedly to an object. The Wolfram Language function
NestList[f,
expr, n] gives a list of the results of iterating the function 
times on the initial expression expr. Similarly, Nest[f,
expr, n] gives the last element of this list, i.e., the result after
iterations.
Iterated Map
See also
Iterated Function System, Iteration, Iteration Sequence, Nested Function, Nested Radical, Power Tower, Recurrence Equation, Repeated IntegralExplore with Wolfram|Alpha
References
Wolfram, S. A New Kind of Science. Champaign, IL: Wolfram Media, pp. 149-155, 2002.Referenced on Wolfram|Alpha
Iterated MapCite this as:
Weisstein, Eric W. "Iterated Map." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/IteratedMap.html