Rohil Prasad

collaborators

3 papers

math.DS2026

On the sharpness of Denjoy's theorem

Rohil Prasad

Let $I ¨ $ be a concave modulus of continuity that is weaker than Lipschitz, meaning $I ¨ (t) / t$ diverges as $t$ approaches $0$ . We construct a diffeomorphism of the circle with irrati…

math.SG2024

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…

math.SG2024

High-dimensional families of holomorphic curves and three-dimensional energy surfaces

Rohil Prasad

Let $H : R^{4} \to R$ be any smooth function. This article introduces some arguments for extracting dynamical information about the Hamiltonian flow of $H$ from high…