13 citations · 22 across the 15 of their papers we have counts for
7 papers · 1 filter
Straight-line trajectories on the Mucube
Andre Oliveira, Felipe A. Ramírez, Chandrika Sadanand +1
The dynamics of straight line flows on compact half-translation surfaces (surfaces formed by gluing Euclidean polygons edge-to-edge via translations possibly composed with rotation…
Recurrence to shrinking targets on typical self-affine fractals
Henna Koivusalo, Felipe A. Ramírez
We explore the problem of finding the Hausdorff dimension of the set of points that recur to shrinking targets on a self-affine fractal. To be exact, we study the dimension of a ce…
Higher cohomology of parabolic actions on certain homogeneous spaces
Felipe A. Ramirez
We show that for a parabolic R^d-action on a compact quotient of PSL(2,R)^d, the cohomologies in degrees 1 through d-1 trivialize, and we give the obstructions to solving the degre…
Invariant distributions and cohomology for geodesic flows and higher cohomology of higher-rank Anosov actions
Felipe A. Ramirez
We are motivated by a conjecture of A. and S. Katok to study the smooth cohomologies of a family of Weyl chamber flows. The conjecture is a natural generalization of the Livshitz T…
Limit theorems for rank-one Lie groups
Alexander Gorodnik, Felipe A. Ramirez
We investigate asymptotic behaviour of averaging operators for actions of simple rank-one Lie groups. It was previously known that these averaging operators converge almost everywh…
Higher cohomology for Anosov actions on certain homogeneous spaces
Felipe A. Ramirez
We study the smooth untwisted cohomology with real coefficients for the action on [SL(2, R) \times \cdot \cdot \cdot \times SL(2, R)]/Γ by the subgroup of diagonal matrices, where…
Cocycles over higher-rank abelian actions on quotients of semisimple Lie groups
Felipe A. Ramirez
We study actions by higher-rank abelian groups on quotients of semisimple Lie groups with finite center. First, we consider actions arising from the flows of two commuting elements…