4 problems

Homoclinic-approximation conjecture. If there exist $x$ and $a,b\geq0$ with $a+b>1$ such that

No-wild-historic-behavior conjecture. Absence of wild historic points implies that every invariant probability measure is either atomic or has only zero Lyapunov exponents. An anal…

Full-size wild historic set conjecture. In this class of examples, the set of wild historic points has full Hausdorff dimension, full topological entropy and full topological press…

Zero-entropy conjecture. If