Des points fixes communs pour des difféomorphismes de qui commutent et préservent une mesure de probabilité

DOI10.1017/S1474748012000898zbMath1314.37030arXiv1107.0817OpenAlexW2161118900MaRDI QIDQ2852318

Sebastião Firmo, Patrice Le Calvez, Tomasz Miernowski, François Béguin

Publication date: 8 October 2013

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.0817

zbMATH Keywords

fixed pointrecurrenceinvariant measurerotation numberintersection numbertopological foliationconservative homeomorphism

Mathematics Subject Classification ID

Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Rotation numbers and vectors (37E45)

Related Items (3)

Generalizations of the action function in symplectic geometry ⋮ Finite orbits for nilpotent actions on the torus ⋮ Global fixed points for nilpotent actions on the torus

Cites Work

• Un point fixe commun pour des difféomorphismes commutants de \(S^ 2\). (A common fixed point for commutating diffeomorphisms of \(S^ 2\).)
• Symplectic topology as the geometry of generating functions
• An equivariant foliated version of Brouwer's translation theorem
• Difféomorphismes commutants des surfaces et stabilité des fibrations en tores. (Commuting diffeomorphisms of surfaces and stability of fibrations by tori)
• Generalizations of the Poincaré-Birkhoff theorem
• Commuting homeomorphisms of \(S^ 2\)
• Brouwer's plane translation theorem and generalizations of the Poincaré-Birkhoff theorem
• Fixed points of discrete nilpotent group actions on \(S^2\)
• Fixed points of Abelian actions
• Commutators and diffeomorphisms of surfaces
• A note on commuting diffeomorphisms on surfaces
• Topological study of the space of Brouwer homeomorphisms. I

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