Limit Theorems Of Polynomial Approximation With Exponential Weights
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Limit Theorems Of Polynomial Approximation With Exponential Weights
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Author : Michael I. Ganzburg
language : en
Publisher: American Mathematical Soc.
Release Date : 2008
Limit Theorems Of Polynomial Approximation With Exponential Weights written by Michael I. Ganzburg 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 2008 with Mathematics categories.
The author develops the limit relations between the errors of polynomial approximation in weighted metrics and apply them to various problems in approximation theory such as asymptotically best constants, convergence of polynomials, approximation of individual functions, and multidimensional limit theorems of polynomial approximation.
Limit Theorems Of Polynomial Approximation With Exponential Weights
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Author : Michael I. Ganzburg
language : en
Publisher: American Mathematical Society(RI)
Release Date : 2014-09-11
Limit Theorems Of Polynomial Approximation With Exponential Weights written by Michael I. Ganzburg and has been published by American Mathematical Society(RI) this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-11 with Approximation theory categories.
The author develops the limit relations between the errors of polynomial approximation in weighted metrics and apply them to various problems in approximation theory such as asymptotically best constants, convergence of polynomials, approximation of individual functions, and multidimensional limit theorems of polynomial approximation.
The Scaling Limit Of The Correlation Of Holes On The Triangular Lattice With Periodic Boundary Conditions
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Author : Mihai Ciucu
language : en
Publisher: American Mathematical Soc.
Release Date : 2009-04-10
The Scaling Limit Of The Correlation Of Holes On The Triangular Lattice With Periodic Boundary Conditions written by Mihai Ciucu 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 2009-04-10 with Science categories.
The author defines the correlation of holes on the triangular lattice under periodic boundary conditions and studies its asymptotics as the distances between the holes grow to infinity. He proves that the joint correlation of an arbitrary collection of triangular holes of even side-lengths (in lattice spacing units) satisfies, for large separations between the holes, a Coulomb law and a superposition principle that perfectly parallel the laws of two dimensional electrostatics, with physical charges corresponding to holes, and their magnitude to the difference between the number of right-pointing and left-pointing unit triangles in each hole. The author details this parallel by indicating that, as a consequence of the results, the relative probabilities of finding a fixed collection of holes at given mutual distances (when sampling uniformly at random over all unit rhombus tilings of the complement of the holes) approach, for large separations between the holes, the relative probabilities of finding the corresponding two dimensional physical system of charges at given mutual distances. Physical temperature corresponds to a parameter refining the background triangular lattice. He also gives an equivalent phrasing of the results in terms of covering surfaces of given holonomy. From this perspective, two dimensional electrostatic potential energy arises by averaging over all possible discrete geometries of the covering surfaces.
Twisted Pseudodifferential Calculus And Application To The Quantum Evolution Of Molecules
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Author : Andr Martinez
language : en
Publisher: American Mathematical Soc.
Release Date : 2009-06-05
Twisted Pseudodifferential Calculus And Application To The Quantum Evolution Of Molecules written by Andr Martinez 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 2009-06-05 with Mathematics categories.
The authors construct an abstract pseudodifferential calculus with operator-valued symbol, suitable for the treatment of Coulomb-type interactions, and they apply it to the study of the quantum evolution of molecules in the Born-Oppenheimer approximation, in the case of the electronic Hamiltonian admitting a local gap in its spectrum. In particular, they show that the molecular evolution can be reduced to the one of a system of smooth semiclassical operators, the symbol of which can be computed explicitely. In addition, they study the propagation of certain wave packets up to long time values of Ehrenfest order.
Uniqueness And Stability In Determining A Rigid Inclusion In An Elastic Body
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Author : Antonino Morassi
language : en
Publisher: American Mathematical Soc.
Release Date : 2009-06-05
Uniqueness And Stability In Determining A Rigid Inclusion In An Elastic Body written by Antonino Morassi 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 2009-06-05 with Mathematics categories.
The authors consider the inverse problem of determining a rigid inclusion inside an isotropic elastic body $\Omega$, from a single measurement of traction and displacement taken on the boundary of $\Omega$. For this severely ill-posed problem they prove uniqueness and a conditional stability estimate of log-log type.
The Topological Dynamics Of Ellis Actions
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Author : Ethan Akin
language : en
Publisher: American Mathematical Soc.
Release Date : 2008
The Topological Dynamics Of Ellis Actions 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 2008 with Mathematics categories.
An Ellis semigroup is a compact space with a semigroup multiplication which is continuous in only one variable. An Ellis action is an action of an Ellis semigroup on a compact space such that for each point in the space the evaluation map from the semigroup to the space is continuous. At first the weak linkage between the topology and the algebra discourages expectations that such structures will have much utility. However, Ellis has demonstrated that these actions arise naturallyfrom classical topological actions of locally compact groups on compact spaces and provide a useful tool for the study of such actions. In fact, via the apparatus of the enveloping semigroup the classical theory of topological dynamics is subsumed by the theory of Ellis actions. The authors'exposition describes and extends Ellis' theory and demonstrates its usefulness by unifying many recently introduced concepts related to proximality and distality. Moreover, this approach leads to several results which are new even in the classical setup.
Noncommutative Curves Of Genus Zero
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Author : Dirk Kussin
language : en
Publisher: American Mathematical Soc.
Release Date : 2009-08-07
Noncommutative Curves Of Genus Zero written by Dirk Kussin 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 2009-08-07 with Mathematics categories.
In these notes the author investigates noncommutative smooth projective curves of genus zero, also called exceptional curves. As a main result he shows that each such curve $\mathbb{X}$ admits, up to some weighting, a projective coordinate algebra which is a not necessarily commutative graded factorial domain $R$ in the sense of Chatters and Jordan. Moreover, there is a natural bijection between the points of $\mathbb{X}$ and the homogeneous prime ideals of height one in $R$, and these prime ideals are principal in a strong sense.
Large Deviations And Adiabatic Transitions For Dynamical Systems And Markov Processes In Fully Coupled Averaging
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Author : Yuri Kifer
language : en
Publisher: American Mathematical Soc.
Release Date : 2009-08-07
Large Deviations And Adiabatic Transitions For Dynamical Systems And Markov Processes In Fully Coupled Averaging written by Yuri Kifer 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 2009-08-07 with Mathematics categories.
The work treats dynamical systems given by ordinary differential equations in the form $\frac{dX^\varepsilon(t)}{dt}=\varepsilon B(X^\varepsilon(t),Y^\varepsilon(t))$ where fast motions $Y^\varepsilon$ depend on the slow motion $X^\varepsilon$ (coupled with it) and they are either given by another differential equation $\frac{dY^\varepsilon(t)}{dt}=b(X^\varepsilon(t), Y^\varepsilon(t))$ or perturbations of an appropriate parametric family of Markov processes with freezed slow variables.
The Creation Of Strange Non Chaotic Attractors In Non Smooth Saddle Node Bifurcations
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Author : Tobias H. Jger
language : en
Publisher: American Mathematical Soc.
Release Date : 2009-08-07
The Creation Of Strange Non Chaotic Attractors In Non Smooth Saddle Node Bifurcations written by Tobias H. Jger 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 2009-08-07 with Mathematics categories.
The author proposes a general mechanism by which strange non-chaotic attractors (SNA) are created during the collision of invariant curves in quasiperiodically forced systems. This mechanism, and its implementation in different models, is first discussed on an heuristic level and by means of simulations. In the considered examples, a stable and an unstable invariant circle undergo a saddle-node bifurcation, but instead of a neutral invariant curve there exists a strange non-chaotic attractor-repeller pair at the bifurcation point. This process is accompanied by a very characteristic behaviour of the invariant curves prior to their collision, which the author calls `exponential evolution of peaks'.
On The Convergence Of Sum C Kf N Kx
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Author : István Berkes
language : en
Publisher: American Mathematical Soc.
Release Date : 2009
On The Convergence Of Sum C Kf N Kx written by István Berkes 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 2009 with Convergence categories.