We thank the reviewers for their comments and time

We thank the reviewers for their comments and time. We will address these comments in our revisions. We agree that a discrete-time analysis is essential. Work section that this question is tricky, and has stymied many mathematicians. As discussed at the end of Section 1.1 We surveyed and cited recent work, e.g., (Davis et al., Please refer to lines 2-9 above for more details.