3 problems

A Markoff triple is a positive solution of $x^2+y^2+z^2=3xyz$. A Markoff number is an element of a Markoff triple. Let $\mu$ be the monoid homomorphism from…

Strong Markoff uniqueness conjecture. Each of the badly approximable irrationals $\xi$ corresponding to a Markoff triple $(x,y,z)$ has a different field of definition…

Begin with an oriented triangulation of the once-punctured torus described in the source, and retain $e$ as a formal variable rather than setting it equal to $1$. Iterated flips in…