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math.DS2026
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…
math.DS2023
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…
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…