2 citations · 2 across the 3 of their papers we have counts for
10 papers
Fractal dimensions of the Markov and Lagrange spectra near
Harold Erazo, Carlos Gustavo Moreira, Rodolfo Gutiérrez-Romo +1
The Lagrange spectrum and Markov spectrum are subsets of the real line with complicated fractal properties that appear naturally in the study of Diophan…
Kontsevich-Zorich monodromy groups of translation covers of some platonic solids
Rodolfo Gutiérrez-Romo, Dami Lee, Anthony Sanchez
We compute the Zariski closure of the Kontsevich-Zorich monodromy groups arising from certain square tiled surfaces that are geometrically motivated. Specifically we consider three…
Permutation of periodic points of Veech surfaces in
Rodolfo Gutiérrez-Romo, Angel Pardo
We study how are permuted Weierstrass points of Veech surfaces in , the stratum of Abelian differentials on Riemann surfaces in genus two with a single zero of orde…
Diagonal flow detects topology of strata
Mark Bell, Vincent Delecroix, Vaibhav Gadre +2
We study the interplay between the diagonal flow on, and the topology of, a stratum component of a space of rooted quadratic differentials. We prove that the flow group -- the subg…
Coding Teichmüller flow using veering triangulations
Mark Bell, Vincent Delecroix, Vaibhav Gadre +2
We develop the theory of veering triangulations on oriented surfaces adapted to moduli spaces of half-translation surfaces. We use veering triangulations to give a coding of the Te…
Lower bounds on the dimension of the Rauzy gasket
Rodolfo Gutiérrez-Romo, Carlos Matheus
The Rauzy gasket is the maximal invariant set of a certain renormalization procedure for special systems of isometries naturally appearing in the context of Novikov's problem i…