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Hamiltonian Perturbation Theory for Ultra-Differentiable Functions
  • Language: en
  • Pages: 89

Hamiltonian Perturbation Theory for Ultra-Differentiable Functions

Some scales of spaces of ultra-differentiable functions are introduced, having good stability properties with respect to infinitely many derivatives and compositions. They are well-suited for solving non-linear functional equations by means of hard implicit function theorems. They comprise Gevrey functions and thus, as a limiting case, analytic functions. Using majorizing series, we manage to characterize them in terms of a real sequence M bounding the growth of derivatives. In this functional setting, we prove two fundamental results of Hamiltonian perturbation theory: the invariant torus theorem, where the invariant torus remains ultra-differentiable under the assumption that its frequency...

Naturality and Mapping Class Groups in Heegard Floer Homology
  • Language: en
  • Pages: 174

Naturality and Mapping Class Groups in Heegard Floer Homology

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Asymptotic Counting in Conformal Dynamical Systems
  • Language: en
  • Pages: 139

Asymptotic Counting in Conformal Dynamical Systems

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Intense Automorphisms of Finite Groups
  • Language: en
  • Pages: 117

Intense Automorphisms of Finite Groups

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Noncommutative Homological Mirror Functor
  • Language: en
  • Pages: 116

Noncommutative Homological Mirror Functor

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Elliptic Theory for Sets with Higher Co-Dimensional Boundaries
  • Language: en
  • Pages: 123

Elliptic Theory for Sets with Higher Co-Dimensional Boundaries

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Decoupling on the Wiener Space, Related Besov Spaces, and Applications to BSDEs
  • Language: en
  • Pages: 112

Decoupling on the Wiener Space, Related Besov Spaces, and Applications to BSDEs

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Instability, Index Theorem, and Exponential Trichotomy for Linear Hamiltonian PDEs
  • Language: en
  • Pages: 136

Instability, Index Theorem, and Exponential Trichotomy for Linear Hamiltonian PDEs

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Cohomological Tensor Functors on Representations of the General Linear Supergroup
  • Language: en
  • Pages: 106

Cohomological Tensor Functors on Representations of the General Linear Supergroup

We define and study cohomological tensor functors from the category Tn of finite-dimensional representations of the supergroup Gl(n|n) into Tn−r for 0 < r ≤ n. In the case DS : Tn → Tn−1 we prove a formula DS(L) = ΠniLi for the image of an arbitrary irreducible representation. In particular DS(L) is semisimple and multiplicity free. We derive a few applications of this theorem such as the degeneration of certain spectral sequences and a formula for the modified superdimension of an irreducible representation.