16 citations · 19 across the 7 of their papers we have counts for
8 papers
Spectral invariants for non-compactly supported Hamiltonians on the disc, and an application to the mean action spectrum
Barney Bramham, Abror Pirnapasov
For a symplectic isotopy on the two-dimensional disc we show that the classical spectral invariants of Viterbo [20] can be extended in a meaningful way to {\it non-compactly} suppo…
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…
Generic equidistribution for area-preserving diffeomorphisms of compact surfaces with boundary
Abror Pirnapasov, Rohil Prasad
We prove that a generic area-preserving diffeomorphism of a compact surface with non-empty boundary has an equidistributed set of periodic orbits. This implies that such a diffeomo…
Hutchings' inequality for the Calabi invariant revisited with an application to pseudo-rotations
Abror Pirnapasov
In [Hut16], Hutchings uses embedded contact homology to show the following for area-preserving disc diffeomorphisms that are a rotation near the boundary of the disc: If the asympt…
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…
Genetic Volterra algebras and their derivations
Rasul Ganikhodzhaev, Farrukh Mukhamedov, Abror Pirnapasov +1
The present paper is devoted to genetic Volterra algebras. We first study characters of such algebras. We fully describe associative genetic Volterra algebras, in this case all der…
Topological properties of attractors
R. N. Ganikhodzhaev, A. T. Pirnapasov
We study some topological properties of attractors.