Exponentially Small Splitting of Invariant Manifolds of Parabolic Points

Exponentially Small Splitting of Invariant Manifolds of Parabolic Points PDF

Author: Inmaculada Baldom‡

Publisher: American Mathematical Soc.

Published: 2003-12-17

Total Pages: 108

ISBN-13: 9780821865149

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We consider families of one and a half degrees of freedom Hamiltonians with high frequency periodic dependence on time, which are perturbations of an autonomous system. We suppose that the origin is a parabolic fixed point with non-diagonalizable linear part and that the unperturbed system has a homoclinic connection associated to it. We provide a set of hypotheses under which the splitting is exponentially small and is given by the Poincare-Melnikov function.

Maximum Principles on Riemannian Manifolds and Applications

Maximum Principles on Riemannian Manifolds and Applications PDF

Author: Stefano Pigola

Publisher: American Mathematical Soc.

Published: 2005

Total Pages: 118

ISBN-13: 0821836390

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Aims to introduce the reader to various forms of the maximum principle, starting from its classical formulation up to generalizations of the Omori-Yau maximum principle at infinity obtained by the authors.

Equivariant, Almost-Arborescent Representations of Open Simply-Connected 3-Manifolds; A Finiteness Result

Equivariant, Almost-Arborescent Representations of Open Simply-Connected 3-Manifolds; A Finiteness Result PDF

Author: Valentin Poenaru

Publisher: American Mathematical Soc.

Published: 2004

Total Pages: 104

ISBN-13: 0821834606

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Shows that at the cost of replacing $V DEGREES3$ by $V_h DEGREES3 = \{V DEGREES3$ with very many holes $\}$, we can always find representations $X DEGREES2 \stackrel {f} {\rightarrow} V DEGREES3$ with $X DEGREES2$ locally finite and almost-arborescent, with $\Psi (f)=\Phi (f)$, and with the ope

Large Viscous Boundary Layers for Noncharacteristic Nonlinear Hyperbolic Problems

Large Viscous Boundary Layers for Noncharacteristic Nonlinear Hyperbolic Problems PDF

Author: Guy Métivier

Publisher: American Mathematical Soc.

Published: 2005

Total Pages: 122

ISBN-13: 0821836498

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Studies two types of integral transformation associated with fractional Brownian motion, that are applied to construct approximation schemes for fractional Brownian motion by polygonal approximation of standard Brownian motion. This approximation is the best in the sense that it minimizes the mean square error.

Integral Transformations and Anticipative Calculus for Fractional Brownian Motions

Integral Transformations and Anticipative Calculus for Fractional Brownian Motions PDF

Author: Yaozhong Hu

Publisher: American Mathematical Soc.

Published: 2005

Total Pages: 144

ISBN-13: 0821837044

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A paper that studies two types of integral transformation associated with fractional Brownian motion. They are applied to construct approximation schemes for fractional Brownian motion by polygonal approximation of standard Brownian motion. This approximation is the best in the sense that it minimizes the mean square error.

A Generating Function Approach to the Enumeration of Matrices in Classical Groups over Finite Fields

A Generating Function Approach to the Enumeration of Matrices in Classical Groups over Finite Fields PDF

Author: Jason Fulman

Publisher: American Mathematical Soc.

Published: 2005

Total Pages: 104

ISBN-13: 0821837060

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Generating function techniques are used to study the probability that an element of a classical group defined over a finite field is separable, cyclic, semisimple or regular. The limits of these probabilities as the dimension tends to infinity are calculated in all cases, and exponential convergence to the limit is proved. These results complement and extend earlier results of the authors, G. E. Wall, and Guralnick & Lubeck.

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