4 papers
Infinitesimal random dynamics of certain Veech groups on SU(2)-character varieties
Giovanni Forni, William M. Goldman, Sean Lawton +1
Almost 20 years ago, the first and fourth authors found examples of SL(2,R)-invariant subbundles of Hodge bundles over Teichmüller curves having maximally degenerate Lyapunov spect…
Euler characteristics of -orbit graphs of origamis
Luke Jeffreys, Carlos Matheus
The -orbits of primitive -squared origamis can be represented by finite four-regular graphs. It is a conjecture of McMullen that the orbit graphs of such origa…
Diameter bounds for -orbits of origamis in and the Prym loci in and
Luke Jeffreys, Carlos Matheus
Using algorithms implicit in the classification of -orbits of primitive origamis in the stratum due to Hubert-Lelièvre and McMullen, we give diam…
Arithmeticity of the Kontsevich--Zorich monodromies of certain families of square-tiled surfaces II
Manuel Kany, Carlos Matheus
In this note, we extend the scope of our previous work joint with Bonnafoux, Kattler, Niño, Sedano-Mendoza, Valdez and Weitze-Schmithüsen by showing the arithmeticity of the Kontse…