42 citations · 81 across the 18 of their papers we have counts for
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math.DS2023
The stability conjecture for geodesic flows of compact manifolds without conjugate points and quasi-convex universal covering
Rafael Potrie, Rafael O. Ruggiero
Let be a compact, boudaryless connected manifold without conjugate points with quasi-convex universal covering and divergent geodesic rays. We show that the ge…
math.DS2023★ 1 cited
Expansive factors for geodesic flows of compact manifolds without conjugate points and with visibility universal covering
Edhin F. Mamani, Rafael Ruggiero
Let be a compact manifold without conjugate points and with visibility universal covering. We show that its geodesic flow has a time-preserving expansive factor which is to…
math.GM2023
Noncommutativity in the analysis of piecewise discrete-time dynamical systems
Benjamin T. Hendel, Rafael Ruggiero
In this paper, we present a new method for the analysis of piecewise dynamical systems that are similar to the Collatz conjecture in regard to certain properties of the commutator…