4 papers
Symplectic dynamics via a tube construction
Qi Feng, Jun Zhang
This is the first in a series of papers studying symplectic dynamics on Liouville domains from a geometric approach. We employ Usher's tube construction to build a higher-…
Spectrally-large scale geometry via set-heaviness
Qi Feng, Jun Zhang
We show that there exist infinite-dimensional quasi-flats in the compactly supported Hamiltonian diffeomorphism group of the Liouville domain, with respect to the spectral norm, if…
Notes on symplectic squeezing in and spectra of Finsler dynamics
Qi Feng, Jun Zhang
In this paper, on the one hand, we prove that for any subbundle of with bounded fibers symplectically embeds into a trivial subbundle of $T^* \mathbb T…
Spectrally-large scale geometry in cotangent bundles
Qi Feng, Jun Zhang
In this paper, we prove that the -orbit space from a fiber of a large family of cotangent bundles, as a metric space with respect to the Floer-theoretic spectral metric,…