Alex Rutar

Separation conditions


The classical case for studying an iterated function system is to “invert” the system and essentially study the associated uniformly expanding dynamical system. However, when the system is overlapping, no such dynamical analogue exists. The study of separation conditions is an attempt to give general conditions on the overlapping system which ensure certain properties, and to characterize when the conditions are satisfied.

Relevant Publications

  1. When the Weak Separation Condition implies the Generalized Finite Type Condition
    With: Kathryn E. Hare, Kevin G. Hare
    Journal: Proc. Amer. Math. Soc. 149 (2021), 1555–1568
    Links: pdfdoiarxiv