Highly Influenced

# Asymptotic height optimization for topical IFS , Tetris heaps , and the finiteness conjecture

@inproceedings{Thierry2000AsymptoticHO, title={Asymptotic height optimization for topical IFS , Tetris heaps , and the finiteness conjecture}, author={Lecroq Thierry and Jean}, year={2000} }

- Published 2000

A topical map is a map from R into itself verifying some conditions (see §1.2) and which, roughly speaking, behaves like a translation along some line, the amount of which is measured by a real number, called the average height (or average displacement) of the map. Then we look at a topical Iterated Function System (IFS), that is, a (finite) collection (Ti) of such maps, and want to find asymptotic bounds for the average height of arbitrary compositions of the Ti ; this can be seen as an… CONTINUE READING