4 papers
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…
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…
Selective Floer cohomology for contact vector fields
Dylan Cant, Igor Uljarević
This paper associates a persistence module to a contact vector field on the ideal boundary of a Liouville manifold. The persistence module measures the dynamics of on the r…
Quantitative characterization in contact Hamiltonian dynamics -- I
Danijel Djordjević, Igor Uljarević, Jun Zhang
Based on the contact Hamiltonian Floer theory established by Will J. Merry and the second author that applies to any admissible contact Hamiltonian system , wher…