Maps in dimension one with infinite entropy
Maps in dimension one with infinite entropy
We give examples of endomorphisms in dimension one with infinite topological entropy which are $\alpha$-Holder and $(1,p)$-Sobolev for all $0\leq\alpha<1$ and $1\leq p<\infty$. This is constructed within a family of endomorphisms with infinite topological entropy and which traverse all $\alpha$-Holder and $(1,p)$-Sobolev classes. Finally, we also give examples of endomorphisms, …