Author: Kazuyuki HatadaPublisher: American Mathematical Soc.
ISBN: 1470443341
Category : Education
Languages : en
Pages : 165
Book Description
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Hecke Operators and Systems of Eigenvalues on Siegel Cusp Forms
Author: Kazuyuki HatadaPublisher: American Mathematical Soc.
ISBN: 1470443341
Category : Education
Languages : en
Pages : 165
Book Description
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Hecke Operators and Systems of Eigenvalues on Siegel Cusp Forms
Author: Kazuyuki HatadaPublisher:
ISBN: 9781470463434
Category : Electronic books
Languages : en
Pages : 177
Book Description
Asymptotic Counting in Conformal Dynamical Systems
Author: Mark PollicottPublisher: American Mathematical Society
ISBN: 1470465779
Category : Mathematics
Languages : en
Pages : 139
Book Description
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Cell Complexes, Poset Topology and the Representation Theory of Algebras Arising in Algebraic Combinatorics and Discrete Geometry
Author: Stuart MargolisPublisher: American Mathematical Society
ISBN: 1470450429
Category : Mathematics
Languages : en
Pages : 135
Book Description
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Hamiltonian Perturbation Theory for Ultra-Differentiable Functions
Author: Abed BounemouraPublisher: American Mathematical Soc.
ISBN: 147044691X
Category : Education
Languages : en
Pages : 89
Book Description
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 satisfies some arithmetic condition which we call BRM, and which generalizes the Bruno-R¨ussmann condition; and Nekhoroshev’s theorem, where the stability time depends on the ultra-differentiable class of the pertubation, through the same sequence M. Our proof uses periodic averaging, while a substitute for the analyticity width allows us to bypass analytic smoothing. We also prove converse statements on the destruction of invariant tori and on the existence of diffusing orbits with ultra-differentiable perturbations, by respectively mimicking a construction of Bessi (in the analytic category) and MarcoSauzin (in the Gevrey non-analytic category). When the perturbation space satisfies some additional condition (we then call it matching), we manage to narrow the gap between stability hypotheses (e.g. the BRM condition) and instability hypotheses, thus circumbscribing the stability threshold. The formulas relating the growth M of derivatives of the perturbation on the one hand, and the arithmetics of robust frequencies or the stability time on the other hand, bring light to the competition between stability properties of nearly integrable systems and the distance to integrability. Due to our method of proof using width of regularity as a regularizing parameter, these formulas are closer to optimal as the the regularity tends to analyticity
Hardy-Littlewood and Ulyanov Inequalities
Author: Yurii KolomoitsevPublisher: American Mathematical Society
ISBN: 1470447584
Category : Mathematics
Languages : en
Pages : 118
Book Description
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Noncommutative Homological Mirror Functor
Author: Cheol-Hyun ChoPublisher: American Mathematical Society
ISBN: 1470447614
Category : Mathematics
Languages : en
Pages : 116
Book Description
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Existence of Unimodular Triangulations–Positive Results
Author: Christian HaasePublisher: American Mathematical Soc.
ISBN: 1470447169
Category : Education
Languages : en
Pages : 83
Book Description
Unimodular triangulations of lattice polytopes arise in algebraic geometry, commutative algebra, integer programming and, of course, combinatorics. In this article, we review several classes of polytopes that do have unimodular triangulations and constructions that preserve their existence. We include, in particular, the first effective proof of the classical result by Knudsen-Mumford-Waterman stating that every lattice polytope has a dilation that admits a unimodular triangulation. Our proof yields an explicit (although doubly exponential) bound for the dilation factor.
Uniqueness of Fat-Tailed Self-Similar Profiles to Smoluchowski?s Coagulation Equation for a Perturbation of the Constant Kernel
Author: Sebastian ThromPublisher: American Mathematical Society
ISBN: 147044786X
Category : Mathematics
Languages : en
Pages : 106
Book Description
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Cohomological Tensor Functors on Representations of the General Linear Supergroup
Author: Thorsten HeidersdorfPublisher: American Mathematical Soc.
ISBN: 1470447142
Category : Education
Languages : en
Pages : 106
Book Description
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.