TY  - JOUR
T1  - Hypercyclic operators for iterated function systems
AU  - Salman, Mohammad
AU  - Das, Ruchi
PY  - 2021
DA  - April
DO  - 10.15672/hujms.716686
JF  - Hacettepe Journal of Mathematics and Statistics
PB  - Hacettepe University
WT  - DergiPark
SN  - 2651-477X
SP  - 483
EP  - 491
VL  - 50
IS  - 2
LA  - en
AB  - In this paper we introduce and study the notion of hypercyclicity for iterated function systems (IFS) of operators. We prove that for a linear IFS, hypercyclicity implies sensitivity and if an IFS is abelian, then hypercyclicity also implies multi-sensitivity and hence thick sensitivity. We also give some equivalent conditions for hypercyclicity as well as weakly mixing for an IFS of operators.
KW  - Iterated function systems
KW  - hypercyclic operators
KW  - sensitive operators
KW  - weakly mixing operators
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UR  - https://doi.org/10.15672/hujms.716686
L1  - https://dergipark.org.tr/en/download/article-file/1042526
ER  -