On the classical Lagrange and Markov spectra: new results on the local dimension and the geometry of the difference set

Harold Erazo, Luke Jeffreys, Carlos Gustavo Moreira

Let $L$ and $M$ denote the classical Lagrange and Markov spectra, respectively. It is known that $L\subset M$ and that $M\setminus L\ne \varnothing$. Inspired by three questions as…