16 citations · 16 across the 4 of their papers we have counts for
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The asymptotic mean action and the asymptotic linking number for pseudo-rotations
David Bechara Senior, Patrice Le Calvez, Abror Pirnapasov
We establish that the asymptotic mean action and the asymptotic linking number of irrational pseudo-rotations remain well-defined everywhere and constant for every irration…
C^0-stability of topological entropy for Reeb flows in dimension 3
Marcelo R. R. Alves, Lucas Dahinden, Matthias Meiwes +1
We study stability properties of the topological entropy of Reeb flows on contact 3-manifolds with respect to the C^0-distance on the space of contact forms. Our main results show…
Reeb orbits that force topological entropy
Marcelo R. R. Alves, Abror Pirnapasov
We develop a forcing theory of topological entropy for Reeb flows in dimension . A transverse link in a closed contact -manifold is said to force topological entr…
Topological properties of attractors
R. N. Ganikhodzhaev, A. T. Pirnapasov
We study some topological properties of attractors.