Singular Bohr–Sommerfeld rules for 2D integrable systems
Yves Colin de Verdière, San Vũ Ngọc (2003)
Annales scientifiques de l'École Normale Supérieure
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Displaying similar documents to “A new method for measuring the splitting of invariant manifolds”
Singular Bohr–Sommerfeld rules for 2D integrable systems
Coupled maps and analytic function spaces
Hans Henrik Rugh (2002)
Annales scientifiques de l'École Normale Supérieure
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Conjugation to a shift and the splitting of invariant manifolds
Vassiliĭ Gelfreich (1997)
Applicationes Mathematicae
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We give sufficient conditions for a diffeomorphism in the plane to be analytically conjugate to a shift in a complex neighborhood of a segment of an invariant curve. For a family of functions close to the identity uniform estimates are established. As a consequence an exponential upper estimate for splitting of separatrices is established for diffeomorphisms of the plane close to the identity. The constant in the exponent is related to the width of the analyticity domain of the limit...
Supersymmetric measures and maximum principles in the complex domain. Exponential decay of Green's functions
J. Sjöstrand, W.-M. Wang (1999)
Annales scientifiques de l'École Normale Supérieure
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Analyticity of relative fundamental solutions and projections for left invariant operators on the Heisenberg group
Linda Preiss Rothschild, David S. Tartakoff (1982)
Annales scientifiques de l'École Normale Supérieure
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Stability and instability for Gevrey quasi-convex near-integrable hamiltonian systems
Jean-Pierre Marco, David Sauzin (2003)
Publications Mathématiques de l'IHÉS
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