16 citations · 19 across the 7 of their papers we have counts for
Showing math.SGShow all
3 papers · 1 filter
math.SG2024
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…
math.SG2022
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…
math.SG2021★ 2 cited
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…