Michael Brandenbursky

activity

20092026

most citedCancelation norm and the geometry of biinvariant word metrics

17 citations · 71 across the 20 of their papers we have counts for

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3 papers · 1 filter

math.SG2016

The autonomous norm on $H am (R^{2 n})$ is bounded

Michael Brandenbursky, Jarek Kędra

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

math.SG2016

On the autonomous norm on the group of Hamiltonian diffeomorphisms of the torus

Michael Brandenbursky, Jarek Kedra, Egor Shelukhin

We prove that the autonomous norm on the group of Hamiltonian diffeomorphisms of the two-dimensional torus is unbounded. We provide explicit examples of Hamiltonian diffeomorphisms…

math.SG2014

On the $L^{p}$ -geometry of autonomous Hamiltonian diffeomorphisms of surfaces

Michael Brandenbursky, Egor Shelukhin

We prove a number of results on the interrelation between the $L^{p}$ -metric on the group of Hamiltonian diffeomorphisms of surfaces and the subset of all autonomous Hamiltonian diff…

The autonomous norm on Ham(R2n) is bounded

On the autonomous norm on the group of Hamiltonian diffeomorphisms of the torus

On the Lp-geometry of autonomous Hamiltonian diffeomorphisms of surfaces

The autonomous norm on $H am (R^{2 n})$ is bounded

On the $L^{p}$ -geometry of autonomous Hamiltonian diffeomorphisms of surfaces