4 papers
Barcode entropy and relative symplectic cohomology
Jonghyeon Ahn
In this paper, we study the barcode entropy--the exponential growth rate of the number of not-too-short bars--of the persistence module associated with the relative symplectic coho…
Comparison of symplectic capacities
Jonghyeon Ahn
In this paper, we compare the symplectic (co)homology capacity with the spectral capacity in the relative case. This result establishes a chain of inequalities of relative symplect…
-equivariant relative symplectic cohomology and relative symplectic capacities
Jonghyeon Ahn
In this paper, we construct an -equivariant version of the relative symplectic cohomology developed by Varolgunes. As an application, we construct a relative version of Gutt-H…
Data-Driven Continuum Dynamics via Transport-Teleport Duality
Jong-Hoon Ahn
In recent years, machine learning methods have been widely used to study physical systems that are challenging to solve with governing equations. Physicists and engineers are frami…