Differentiability of the minimal average action as a function of the rotation number
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Publication:4009897
DOI10.1007/BF01236280zbMath0766.58033MaRDI QIDQ4009897
Publication date: 27 September 1992
Published in: [https://portal.mardi4nfdi.de/entity/Q2710393 Boletim da Sociedade Brasileira de Matem�tica] (Search for Journal in Brave)
Geodesic flows in symplectic geometry and contact geometry (53D25) Ergodic theory (37A99) Periodic and quasi-periodic flows and diffeomorphisms (37C55) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)
Related Items (34)
Planelike minimizers in periodic media ⋮ On a Liouville-type theorem for linear and nonlinear elliptic differential equations on a torus ⋮ Variational construction of connecting orbits ⋮ On the divergence of Birkhoff normal forms ⋮ Differentiability properties of the minimal average action ⋮ On the local Birkhoff conjecture for convex billiards ⋮ The stable norm on the 2-torus at irrational directions ⋮ Global behaviors of weak KAM solutions for exact symplectic twist maps ⋮ Weak K. A. M. solutions and minimizing orbits of twist maps ⋮ On the marked length spectrum of generic strictly convex billiard tables ⋮ Aubry-Mather theory and the inverse spectral problem for planar convex domains ⋮ The convergence of Lax-Oleinik semigroup for time-periodic Lagrangian ⋮ On the regularity of Mather's \(\beta\)-function for standard-like twist maps ⋮ Plane-like minimizers and differentiability of the stable norm ⋮ Regular dependence of the Peierls barriers on perturbations ⋮ Dynamics near an isolated \(\tilde M\)-semi-static homoclinic orbit ⋮ Nearly circular domains which are integrable close to the boundary are ellipses ⋮ Markov numbers, Mather’s β function and stable norm ⋮ Plane-like minimizers for a non-local Ginzburg-Landau-type energy in a periodic medium ⋮ Integrable geodesic flows on surfaces ⋮ Aubry sets and the differentiability of the minimal average action in codimension one ⋮ Ground states and critical points for Aubry-Mather theory in Statistical mechanics ⋮ The Aubry set for periodic Lagrangians on the circle ⋮ Instabilities in the Sun-Jupiter-asteroid three body problem ⋮ On Aubry sets and Mather's action functional ⋮ Vertices of Mather’s beta function, II ⋮ Global minimizers for Tonelli Lagrangians on the 2-torus ⋮ On some invariants of Birkhoff billiards under conjugacy ⋮ On diffusion in high-dimensional Hamiltonian systems ⋮ Geodesic rays, Busemann functions and monotone twist maps ⋮ Failure of convergence of the Lax-Oleinik semi-group in the time periodic case ⋮ Connecting orbits of time dependent Lagrangian systems ⋮ Inverse problems and rigidity questions in billiard dynamics ⋮ Computing Mather's \(\beta\)-function for Birkhoff billiards
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