Dynamics Of Topologically Generic Homeomorphisms
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Dynamics Of Topologically Generic Homeomorphisms
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Author : Ethan Akin
language : en
Publisher: American Mathematical Soc.
Release Date : 2003
Dynamics Of Topologically Generic Homeomorphisms written by Ethan Akin and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
The goal of this work is to describe the dynamics of generic homeomorphisms of certain compact metric spaces $X$. Here ``generic'' is used in the topological sense -- a property of homeomorphisms on $X$ is generic if the set of homeomorphisms with the property contains a residual subset (in the sense of Baire category) of the space of all homeomorphisms on $X$. The spaces $X$ we consider are those with enough local homogeneity to allow certain localized perturbations of homeomorphisms; for example, any compact manifold is such a space. We show that the dynamics of a generic homeomorphism is quite complicated, with a number of distinct dynamical behaviors coexisting (some resemble subshifts of finite type, others, which we call `generalized adding machines', appear strictly periodic when viewed to any finite precision, but are not actually periodic). Such a homeomorphism has infinitely many, intricately nested attractors and repellors, and uncountably many distinct dynamically-connected components of the chain recurrent set. We single out several types of these ``chain components'', and show that each type occurs densely (in an appropriate sense) in the chain recurrent set. We also identify one type that occurs generically in the chain recurrent set. We also show that, at least for $X$ a manifold, the chain recurrent set of a generic homeomorphism is a Cantor set, so its complement is open and dense. Somewhat surprisingly, there is a residual subset of $X$ consisting of points whose limit sets are chain components of a type other than the type of chain components that are residual in the space of all chain components. In fact, for each generic homeomorphism on $X$ there is a residual subset of points of $X$ satisfying a stability condition stronger than Lyapunov stability.
Exponentially Small Splitting Of Invariant Manifolds Of Parabolic Points
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Author :
language : en
Publisher: American Mathematical Soc.
Release Date :
Exponentially Small Splitting Of Invariant Manifolds Of Parabolic Points written by and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
The Role Of The Spectrum In The Cyclic Behavior Of Composition Operators
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Author : Eva A. Gallardo-Gutieŕrez
language : en
Publisher: American Mathematical Soc.
Release Date : 2004
The Role Of The Spectrum In The Cyclic Behavior Of Composition Operators written by Eva A. Gallardo-Gutieŕrez and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
Introduction and preliminaries Linear fractional maps with an interior fixed point Non elliptic automorphisms The parabolic non automorphism Supercyclic linear fractional composition operators Endnotes Bibliography.
Local Zeta Functions Attached To The Minimal Spherical Series For A Class Of Symmetric Spaces
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Author : Nicole Bopp
language : en
Publisher: American Mathematical Soc.
Release Date : 2005
Local Zeta Functions Attached To The Minimal Spherical Series For A Class Of Symmetric Spaces written by Nicole Bopp and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
Intends to prove a functional equation for a local zeta function attached to the minimal spherical series for a class of real reductive symmetric spaces.
Points On Quantum Projectivizations
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Author :
language : en
Publisher: American Mathematical Soc.
Release Date :
Points On Quantum Projectivizations written by and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Representation Type Of Commutative Noetherian Rings Iii Global Wildness And Tameness
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Author : Lee Klingler
language : en
Publisher: American Mathematical Soc.
Release Date : 2005
Representation Type Of Commutative Noetherian Rings Iii Global Wildness And Tameness written by Lee Klingler and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
This memoir completes the series of papers beginning with [KL1,KL2], showing that, for a commutative noetherian ring $\Lambda$, either the category of $\Lambda$-modules of finite length has wild representation type or else we can describe the category of finitely generated $\Lambda$-modules, including their direct-sum relations and local-global relations. (There is a possible exception to our results, involving characteristic 2.)
Fermionic Expressions For Minimal Model Virasoro Characters
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Author : Trevor Alan Welsh
language : en
Publisher: American Mathematical Soc.
Release Date : 2005
Fermionic Expressions For Minimal Model Virasoro Characters written by Trevor Alan Welsh and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
Fermionic expressions for all minimal model Virasoro characters $\chi DEGREES{p, p'}_{r, s}$ are stated and proved. Each such expression is a sum of terms of fundamental fermionic f
Mathcal R Boundedness Fourier Multipliers And Problems Of Elliptic And Parabolic Type
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Author : Robert Denk
language : en
Publisher: American Mathematical Soc.
Release Date : 2003
Mathcal R Boundedness Fourier Multipliers And Problems Of Elliptic And Parabolic Type written by Robert Denk and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
The property of maximal $L_p$-regularity for parabolic evolution equations is investigated via the concept of $\mathcal R$-sectorial operators and operator-valued Fourier multipliers. As application, we consider the $L_q$-realization of an elliptic boundary value problem of order $2m$ with operator-valued coefficients subject to general boundary conditions. We show that there is maximal $L_p$-$L_q$-regularity for the solution of the associated Cauchy problem provided the top order coefficients are bounded and uniformly continuous.
Moduli Spaces Of Polynomials In Two Variables
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Author : Javier Fernández de Bobadilla
language : en
Publisher: American Mathematical Soc.
Release Date : 2005
Moduli Spaces Of Polynomials In Two Variables written by Javier Fernández de Bobadilla and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
Investigates the geometry of the orbit space. This book associates a graph with each polynomial in two variables that encodes part of its geometric properties at infinity. It also defines a partition of $\mathbb{C} x, y]$ imposing that the polynomials in the same stratum are the polynomials with a fixed associated graph
Positive Definite Functions On Infinite Dimensional Convex Cones
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Author : Helge Glöckner
language : en
Publisher: American Mathematical Soc.
Release Date : 2003
Positive Definite Functions On Infinite Dimensional Convex Cones written by Helge Glöckner and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
A memoir that studies positive definite functions on convex subsets of finite- or infinite-dimensional vector spaces. It studies representations of convex cones by positive operators on Hilbert spaces. It also studies the interplay between positive definite functions and representations of convex cones.