4 problems

Arnoux–Rauzy sequences are infinite sequences over a three-letter alphabet obtained from iterations of the Arnoux–Rauzy substitutions, with each substitution occurring infinitely o…

Let $A\colon \mathbb T^3\to\mathbb T^3$ be the hyperbolic automorphism induced by the displayed integral matrix, and let $W^{uu}_f$ denote the one-dimensional strong unstable folia…

Let the toral LTM be the continuous piecewise-linear map on the torus obtained from the three regions $R_V$, $R_H$, and $R_L$, with bends in iterated line segments classified as ei…

Let $f\colon \mathbb{T}^2\to\mathbb{T}^2$ be a homeomorphism homotopic to the identity, let $\widehat{f}$ be a lift of $f$ to $\mathbb{R}^2$, and let $\rho(\widehat{f})$ denote its…