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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.SG2022
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…
math.DS2022
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…