3 papers
math.SG2025
Quantitative contact Hamiltonian dynamics
Danijel Djordjević, Igor Uljarević, Jun Zhang
This paper presents a systematic quantitative study of contact rigidity phenomena based on the contact Hamiltonian Floer theory established by Merry-Uljarević. Our quantitative app…
math.SG2025
Contact quasi-states and their applications
Igor Uljarević, Jun Zhang
We introduce the notions of partial contact quasi-state and contact quasi-measure. Using the contact spectral invariant from the work by Djordjević-Uljarević-Zhang, one can constru…
math.SG2024
On the spectral capacity of submanifolds
Dylan Cant, Jun Zhang
The infimum of the spectral capacities of neighbourhoods of a nowhere coisotropic submanifold is shown to be zero. In contrast, neighbourhoods of a closed Lagrangian submanifold, a…