5 problems

Given a coded shift $X$, let $FSP(X)$ be the set of continuous potentials with full sequential pressure, and let $FSSP(X)$ be the closure of the set of potentials with strict full…

Let $f$ be an irreducible, nonhyperbolic polynomial, and let $\bar{Z}_f$ be the shift space constructed in Theorem 2. A shift space $\Omega\subset\mathsf{A}^{\mathbb{Z}}$ with fini…

Let $M\in\mathbb{N}\cup\{0\}$. An $(M+1)$-step shift space is a one-sided shift space over an infinite alphabet described by forbidden blocks of length $M+2$, while an $M$-step shi…

Entropy-spectrum conjecture.

Boyle–Maass conjecture. Every mixing topological Markov shift having a positively expansive $c$-to-one endomorphism is topologically conjugate to some full $d$-shift with $c$ and…