5 citations · 12 across the 5 of their papers we have counts for
5 papers
A Brunn-Minkowski type inequality for extended symplectic capacities of convex domains and length estimate for a class of billiard trajectories
Rongrong Jin, Guangcun Lu
In this paper, we firstly generalize the Brunn-Minkowski type inequality for Ekeland-Hofer-Zehnder symplectic capacity of bounded convex domains established by Artstein-Avidan-Ostr…
Coisotropic Ekeland-Hofer capacities
Rongrong Jin, Guangcun Lu
For subsets in the standard symplectic space whose closures are intersecting with coisotropic subspace we construct relative versions of…
Coisotropic Hofer-Zehnder capacities of convex domains and related results
Rongrong Jin, Guangcun Lu
We prove representation formulas for the coisotropic Hofer-Zehnder capacities of bounded convex domains with special coisotropic submanifolds and the leaf relation (introduced by L…
Generalizations of Ekeland-Hofer and Hofer-Zehnder symplectic capacities and applications
Rongrong Jin, Guangcun Lu
In this paper we construct analogues of Ekeland-Hofer and Hofer-Zehnder symplectic capacities based on a class of Hamiltonian boundary value problems motivated by Clarke's and Ekel…
Representation formula for symmetric symplectic capacity and applications
Rongrong Jin, Guangcun Lu
This is the second installment in a series of papers aimed at generalizing symplectic capacities and homologies. We study symmetric versions of symplectic capacities for real sympl…