Michael Brandenbursky

activity

20162021

collaborators

8 papers

math.DS2021

$C^{0}$ -gap between entropy-zero Hamiltonians and autonomous diffeomorphisms of surfaces

Michael Brandenbursky, Michael Khanevsky

Let $Σ$ be a surface equipped with an area form. There is an long standing open question by Katok, which, in particular, asks whether every entropy-zero Hamiltonian diffeomorphism…

math.GT2021

The Schwarz-Milnor lemma for braids and area-preserving diffeomorphisms

Michael Brandenbursky, Michał Marcinkowski, Egor Shelukhin

We prove a number of new results on the large-scale geometry of the $L^{p}$ -metrics on the group of area-preserving diffeomorphisms of each orientable surface. Our proofs use in a ke…

math.GT2019

On the entropy norm on $H am (S^{2})$

Michael Brandenbursky, Egor Shelukhin

In this note we prove that for each positive integer $m$ there exists a bi-Lipschitz embedding $Z^{m} \to H am (S^{2})$ , where $H am (S^{2})$ is equipped with the entropy metric. In particula…

math.GT2018

Fragmentation norm and relative quasimorphisms

Michael Brandenbursky, Jarek Kędra

We prove that manifolds with complicated enough fundamental group admit measure-preserving homeomorphisms which have positive stable fragmentation norm with respect to balls of bou…

math.GT2018

On the entropy norm on the group of diffeomorphisms of closed oriented surface

Michael Brandenbursky, Arpan Kabiraj

We prove that the entropy norm on the group of diffeomorphisms of a closed orientable surface of positive genus is unbounded.

math.GT2016

Concordance of certain 3-braids and Gauss diagrams