8 citations · 11 across the 14 of their papers we have counts for
14 papers
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…
On the sharpness of Denjoy's theorem
Rohil Prasad
Let be a concave modulus of continuity that is weaker than Lipschitz, meaning diverges as approaches . We construct a diffeomorphism of the circle with irration…
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…
Periodic points of rational area-preserving homeomorphisms
Rohil Prasad
An area-preserving homeomorphism isotopic to the identity is said to have rational rotation direction if its rotation vector is a real multiple of a rational class. We give a short…
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…
Volume-preserving right-handed vector fields are conformally Reeb
Rohil Prasad
Right-handed and Reeb vector fields are two rich classes of vector fields on closed, oriented three-manifolds. Prior work of Dehornoy and Florio-Hryniewicz has produced many exampl…
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…
Bounding sequence extremal functions with formations
J. T. Geneson, Rohil Prasad, Jonathan Tidor
An -formation is a concatenation of permutations of letters. If is a sequence with distinct letters, then let be the maximum length of a…