69 citations · 138 across the 23 of their papers we have counts for
25 papers
Coarse distance from dynamically convex to convex
Julien Dardennes, Jean Gutt, Vinicius G. B. Ramos +1
Chaidez and Edtmair have recently found the first example of dynamically convex domains in that are not symplectomorphic to convex domains (called symplectically conv…
Remark on non-contractible closed geodesics and homotopy groups
Egor Shelukhin, Jun Zhang
We prove that if the -th homotopy group for of a closed manifold has non-trivial invariants or coinvariants under the action of the fundamental group, then there exis…
Persistence K-theory
Paul Biran, Octav Cornea, Jun Zhang
This paper studies the basic K-theoretic properties of a triangulated persistence category (TPC). This notion was introduced in our earlier papers on triangulation, persistence, an…
Triangulation, Persistence, and Fukaya categories
Paul Biran, Octav Cornea, Jun Zhang
This paper introduces a new algebraic notion - triangulated persistence category (TPC) - that refines that of triangulated category in the same sense that a persistence module is a…
When Optimal Transport Meets Information Geometry
Gabriel Khan, Jun Zhang
Information geometry and optimal transport are two distinct geometric frameworks for modeling families of probability measures. During the recent years, there has been a surge of r…
Symplectic non-convexity of toric domains
Julien Dardennes, Jean Gutt, Jun Zhang
We investigate the convexity up to symplectomorphism (called symplectic convexity) of star-shaped toric domains in . In particular, based on the criterion from Chaidez…