Pseudographs and the Lax–Oleinik semi-group: a geometric and dynamical interpretation

DOI10.1088/0951-7715/24/1/003zbMath1284.05120arXiv1003.2316OpenAlexW1964290658MaRDI QIDQ3071091

Marie-Claude Arnaud

Publication date: 1 February 2011

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.2316

Mathematics Subject Classification ID

Free semigroups, generators and relations, word problems (20M05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Relations of low-dimensional topology with graph theory (57M15) Lagrangian submanifolds; Maslov index (53D12)

Related Items (6)

Weak K. A. M. solutions and minimizing orbits of twist maps ⋮ Topology of singular set of semiconcave function via Arnaud's theorem ⋮ Resonance conjecture via weak KAM theory ⋮ A new kind of Lax-Oleinik type operator with parameters for time-periodic positive definite Lagrangian systems ⋮ Some Results on Weak KAM Theory for Time-periodic Tonelli Lagrangian Systems ⋮ A geometric definition of the Mañé-Mather set and a Theorem of Marie-Claude Arnaud.

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