TY - JOUR
AU1 - Ban, Jung-Chao
AU2 - Chang, Chih-Hung
AU3 - Wu, Yu-Liang
AU4 - Wu, Yu-Ying
AB - We consider the existence of the topological entropy of shift spaces on a finitely generated semigroup whose Cayley graph is a tree. The considered semigroups include free groups. On the other hand, the notion of stem entropy is introduced. For shift spaces on a strict free semigroup, the stem entropy coincides with the topological entropy. We reveal a sufficient condition for the existence of the stem entropy of shift spaces on a semigroup. Furthermore, we demonstrate that the topological entropy exists in many cases and is identical to the stem entropy.
TI - Stem and topological entropy on Cayley trees
JF - Mathematical Physics Analysis and Geometry
DO - 10.1007/s11040-021-09411-4
DA - 2022-03-01
UR - https://www.deepdyve.com/lp/springer-journals/stem-and-topological-entropy-on-cayley-trees-rlsfBQoEGe
VL - 25
IS - 1
DP - DeepDyve
ER -