8 citations · 11 across the 14 of their papers we have counts for
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KAM splittings and equidistributed periodic orbits for stable hypersurfaces
Robert Cardona, Oliver Edtmair, Rohil Prasad
We show that any stable hypersurface of a symplectic -manifold, on which the cohomology class of the symplectic form restricts to a multiple of a rational class, can be $C^\inft…
High-dimensional families of holomorphic curves and three-dimensional energy surfaces
Rohil Prasad
Let be any smooth function. This article introduces some arguments for extracting dynamical information about the Hamiltonian flow of from high…
Low-action holomorphic curves and invariant sets
Dan Cristofaro-Gardiner, Rohil Prasad
We prove a compactness theorem for sequences of low-action punctured holomorphic curves of controlled topology, in any dimension, without imposing the typical assumption of uniform…
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…
Contact homology and higher dimensional closing lemmas
Julian Chaidez, Ipsita Datta, Rohil Prasad +1
We develop methods for studying the smooth closing lemma for Reeb flows in any dimension using contact homology. As an application, we prove a conjecture of Irie, stating that the…
Generic equidistribution of periodic orbits for area-preserving surface maps
Rohil Prasad
We prove that a -generic area-preserving diffeomorphism of a closed, oriented surface admits a sequence of equidistributed periodic orbits. This is a quantitative refin…
Invariant probability measures from pseudoholomorphic curves II: Pseudoholomorphic curve constructions
Rohil Prasad
In the previous work, we introduced a method for constructing invariant probability measures of a large class of non-singular volume-preserving flows on closed, oriented odd-dimens…
Invariant probability measures from pseudoholomorphic curves I
Rohil Prasad
We introduce a method for constructing invariant probability measures of a large class of non-singular volume-preserving flows on closed, oriented odd-dimensional smooth manifolds…
A note on the existence of U-cyclic elements in periodic Floer homology
Dan Cristofaro-Gardiner, Daniel Pomerleano, Rohil Prasad +1
Edtmair-Hutchings have recently defined, using periodic Floer homology, a U-cycle property for Hamiltonian isotopy classes of area-preserving diffeomorphisms of closed surfaces. Th…
Periodic Floer homology and the smooth closing lemma for area-preserving surface diffeomorphisms
Dan Cristofaro-Gardiner, Rohil Prasad, Boyu Zhang
We prove a very general Weyl-type law for Periodic Floer Homology, estimating the action of twisted Periodic Floer Homology classes over essentially any coefficient ring in terms o…