15 citations · 25 across the 9 of their papers we have counts for
9 papers
Dynamical extensions of Zoll to nonsmooth convex bodies
Pazit Haim-Kislev
The symplectic Zoll property of smooth convex domains in the classical phase space has been extensively studied in recent years and, in particular, has been shown to detect local m…
A Counterexample to Viterbo's Conjecture
Pazit Haim-Kislev, Yaron Ostrover
We present a counterexample to Viterbo's volume-capacity conjecture. This implies, in particular, that in contrast with a well-known conjecture, symplectic capacities do not coinci…
Quantitative Results on Symplectic Barriers
Pazit Haim-Kislev, Richard Hind, Yaron Ostrover
In this paper we present some quantitative results concerning symplectic barriers. In particular, we answer a question raised by Sackel, Song, Varolgunes, and Zhu regarding the sym…
Pseudo-holomorphic triangles and the median quasi-state
Pazit Haim-Kislev, Michael Khanevsky, Asaf Kislev +1
We prove that the minimal area of a holomorphic triangle whose boundary lies on the union of any three Lagrangian submanifolds is bounded from above by the Lagrangian spectral norm…
On the Existence of Symplectic Barriers
Pazit Haim-Kislev, Richard Hind, Yaron Ostrover
In this note we establish the existence of a new type of rigidity of symplectic embeddings coming from obligatory intersections with symplectic planes. More precisely, we prove tha…
Approximation of Generating Function Barcode for Hamiltonian Diffeomorphisms
Pazit Haim-Kislev, Ofir Karin
Persistence modules and barcodes are used in symplectic topology to define various invariants of Hamiltonian diffeomorphisms, however numerical methods for computing these barcodes…
Isobarycentric Inequalities
Shoni Gilboa, Pazit Haim-Kislev, Boaz Slomka
We prove the following isoperimetric type inequality: Given a finite absolutely continuous Borel measure on , halfspaces have maximal measure among all subsets with…
Remarks on symplectic capacities of -products
Pazit Haim-Kislev, Yaron Ostrover
In this note we study the behavior of symplectic capacities of convex domains in the classical phase space with respect to symplectic -products. As an application, by using a "t…
On the symplectic size of convex polytopes
Pazit Haim-Kislev
In this paper we introduce a combinatorial formula for the Ekeland-Hofer-Zehnder capacity of a convex polytope in . One application of this formula is a certain su…