TY - JOUR
AU - Cardeccia, Rodrigo
AU - Muro, Santiago
PY - 2022/12/04
Y2 - 2023/01/30
TI - Multiple recurrence and hypercyclicity
JF - MATHEMATICA SCANDINAVICA
JA - Math. Scand.
VL - 128
IS - 3
SE - Articles
DO - 10.7146/math.scand.a-133256
UR - https://www.mscand.dk/article/view/133256
SP -
AB - <p>We study multiply recurrent and hypercyclic operators as a special case of $\mathcal F$-hypercyclicity, where $\mathcal F$ is the family of subsets of the natural numbers containing arbitrarily long arithmetic progressions. We prove several properties of hypercyclic multiply recurrent operators, we characterize those operators which are weakly mixing and multiply recurrent, and we show that there are operators that are multiply recurrent and hypercyclic but not weakly mixing.</p>
ER -