# The autonomous norm on $Ham(\\mathbf{R}^{2n})$ is bounded

Source: [The autonomous norm on $Ham(\\mathbf{R}^{2n})$ is bounded](<https://www.sota2.com/research/paper/68fa52a41e209131ce97c8f7>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T12:00:05.139Z

Authors: Michael Brandenbursky, Jarek K\\k{e}dra

Published: 2016-03-09T12:28:19.000Z

## Abstract

We prove that the autonomous norm on the group of compactly supported Hamiltonian diffeomorphisms of the standard $\\mathbf{R}^{2n}$ is bounded.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1603.02864>)

[PDF](<https://arxiv.org/pdf/1603.02864.pdf>)