Balanced Infinite Iterated Function Systems (SPECIAL DAY/TIME/ROOM)
April 20, 2018
2:00 pm PGH 651
Abstract
We introduce the notion of a balanced infinite iterated function
system. The idea comes from the concept of a balanced shift introduced
by Baker and Ghenciu. In this talk we pay particular attention to the
case when Bowen formula holds and under which conditions a suitable
measure is supported on the limit set of the iterated function system.
We also introduce and study boundedly supermultiplicative infinite
iterated function systems. Several examples will be given.
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Last modified: April 08 2016 - 20:30:35