Ergodic infinite group extensions of geodesic flows on translation surfaces
Ergodic infinite group extensions of geodesic flows on translation surfaces
We show that generic infinite group extensions of geodesic flows onsquare tiled translation surfaces are ergodic in almost everydirection, subject to certain natural constraints. K. Frączekand C. Ulcigrai have shown that certain concrete staircases, coversof square-tiled surfaces, are not ergodic in almost everydirection. In contrast we show the almost sure …