5 papers
Periodicity characterization by capacities for star-shaped domains
Jean Gutt, Vinicius G. B. Ramos, Shira Tanny
We complete the spectral characterization of Besse and Zoll Reeb flows on the standard contact sphere initiated by Ginzburg-Gürel-Mazzucchelli. Roughly speaking, it sta…
On Zoll Contact 5-Spheres
Julian Chaidez, Shira Tanny
We prove that any contact form on the standard contact 5-sphere with Zoll Reeb flow is strictly contactomorphic to a scaling of the standard Zoll contact form.
On the (Dis)connection Between Growth and Primitive Periodic Points
Adi Glücksam, Shira Tanny
In 1972, Cornalba and Shiffman showed that the number of zeros of an order zero holomorphic function in two or more variables can grow arbitrarily fast. We generalize this finding…
Ergodic closing lemmas and invariant Lagrangians
Erman Cineli, Sobhan Seyfaddini, Shira Tanny
Motivated by the ergodic closing lemma of Mañé, we investigate the closing lemma in higher-dimensional Hamiltonian systems, with a focus on the statistical behavior of…
Properties of contact toric structures and concave boundaries of linear plumbings
Aleksandra MarinkoviÄ, Jo Nelson, Ana Rechtman +3
We consider plumbings of symplectic disk bundles over spheres admitting concave contact boundary, with the goal of understanding the geometric properties of the boundary contact st…