
We explore the behavior of a subset of the Collatz map through linear transformations, deriving conditions under which the iteration admits a rational and positive eigenvalue. This structure suggests potential constraints on divergence and dependencies within the map. Peer-review this article by using the comments or upvoting/downvoting

We explore the behavior of a subset of the Collatz map through linear transformations, deriving conditions under which the iteration admits a rational and positive eigenvalue. This structure suggests potential constraints on divergence and dependencies within the map and finds the existence and uniqueness of the loop in the iterative map. Peer-review this article by…