4 problems

Let $\mathcal{M}_d^*$ be the multicorn of degree $d$, let $\mathcal{C}_1$ and $\mathcal{C}_2$ be distinct parabolic arcs in $\mathcal{M}_d^*$, and let $\omega$ denote the relevant…

Let $\mathcal{C}$ be a parabolic arc, and let $\operatorname{ind}_{\mathcal{C}}$ denote the function assigning the parabolic fixed-point index along that arc. No universal paraboli…

Let $d$ be the degree of a multicorn, let $\omega$ denote the rotational symmetry used in the parameter space, and let $H_1$ and $H_2$ be hyperbolic components of odd periods $k_1$…

Let $\mathcal{M}_d^*$ denote the degree-$d$ multicorn, and let a parabolic arc of $\mathcal{M}_d^*$ be parametrized by the critical Ecalle height. Non-singularity conjecture. The c…