Non-removable term ergodic action semigroups/groups

TL;DR

This paper introduces the concept of term ergodicity for action semigroups, constructs robust examples on 2D manifolds, and explores applications in circle packing, advancing understanding of ergodic properties in dynamical systems.

Contribution

It defines term ergodicity for semigroups, provides robust constructions on manifolds, and connects the concept to circle packing problems.

Findings

Constructed $C^{1+eta}$-robustly term ergodic semigroups on 2D manifolds.

Provided examples illustrating term ergodicity.

Linked term ergodicity to circle packing problems.

Abstract

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.