Non-removable term ergodic action semigroups/groups

In this work, we introduce the concept of term ergodicity for action semigroups and construct semigroups on two dimensional manifolds which are $C^{1+\alpha}$-robustly term ergodic. Moreover, we illustrate the term ergodicity by some exciting examples. At last, we study a problem in the context of circle packing which is concerned to term ergodic.