7 problems

Let a minimal unimodal combinatorics be a minimal combinatorial type in the unimodal region, and call it unobstructed when it is realized by the corresponding quadratic dynamical s…

For each $d\geq 1$, define the Hermite polynomial by … Let $\mathscr{R}_d$ denote the set of real polynomials of degree $d$ having only real periodic points. Hermite polynomial con…

Hyperbolic-density conjecture. In the space of polynomials of degree $d>2$ with all critical points real, there are no isentropes of entropy

Weak plainness conjecture. Then:

Plainness conjecture. Every $p$ satisfying the hypotheses of Barna's theorem is a plain map.

No-wandering-intervals conjecture. The function $f$ has no wandering intervals in $\mathbb{R}^{+}$.

Stable-set conjecture. The function $f$ has no attracting cycle in the interval $[\mu_3,+\infty)$.