English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We prove a new variant of the energy-capacity inequality for closed rationalsymplectic manifolds (as well as certain open manifolds such as cotangentbundle of closed manifolds...) and we derive some consequences toC^0-symplectic topology. Namely, we prove that a continuous function which is auniform limit of smooth Hamiltonians whose flows converge to the identity forthe spectral (or Hofer's) distance must vanish. This gives a new proof ofuniqueness of continuous generating Hamiltonian for hameomorphisms. This alsoallows us to improve a result by Cardin and Viterbo on the C^0-rigidity of thePoisson bracket.

New energy-capacity-type inequalities and uniqueness of continuous Hamiltonians