Extension Of Positive Definite Distributions And Maximum Entropy

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Extension Of Positive Definite Distributions And Maximum Entropy

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Author : Jean-Pierre Gabardo
language : en
Publisher: American Mathematical Soc.
Release Date : 1993

Extension Of Positive Definite Distributions And Maximum Entropy written by Jean-Pierre Gabardo 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 1993 with Mathematics categories.

In this work, the maximum entropy method is used to solve the extension problem associated with a positive-definite function, or distribution, defined on an interval of the real line. Garbardo computes explicitly the entropy maximizers corresponding to various logarithmic integrals depending on a complex parameter and investigates the relation to the problem of uniqueness of the extension. These results are based on a generalization, in both the discrete and continuous cases, of Burg's maximum entropy theorem.

Extension Of Positive Definite Distributions And Maximum Entropy

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Author : Jean-Pierre Gabardo
language : en
Publisher: American Mathematical Society(RI)
Release Date : 2014-08-31

Extension Of Positive Definite Distributions And Maximum Entropy written by Jean-Pierre Gabardo 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 2014-08-31 with Fourier analysis categories.

In this work, the maximum entropy method is used to solve the extension problem associated with a positive-definite function, or distribution, defined on an interval of the real line. Garbardo computes explicitly the entropy maximizers corresponding to various logarithmic integrals depending on a complex parameter and investigates the relation to the problem of uniqueness of the extension. These results are based on a generalization, in both the discrete and continuous cases, of Burg's maximum entropy theorem.

On The Coefficients Of Cyclotomic Polynomials

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Author : Gennady Bachman
language : en
Publisher: American Mathematical Soc.
Release Date : 1993

On The Coefficients Of Cyclotomic Polynomials written by Gennady Bachman 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 1993 with Mathematics categories.

Let [italic]a([italic]m, [italic]n) denote the [italic]mth coefficient of the [italic]nth cyclotomic polynomial [capital Greek]Phi[subscript italic]n([italic]z), and let [italic]a([italic]m) = max[subscript italic]n [conditional event/restriction/such that] |[italic]a([italic]m, [italic]n)[conditional event/restriction/such that] |. Our principal result is an asymptotic formula for log [italic]a([italic]m) that improves over a recent estimate of Montgomery and Vaughan.

Markov Fields Over Countable Partially Ordered Sets Extrema And Splitting

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Author : I. V. Evstigneev
language : en
Publisher: American Mathematical Soc.
Release Date : 1994

Markov Fields Over Countable Partially Ordered Sets Extrema And Splitting written by I. V. Evstigneev 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 1994 with Mathematics categories.

Various notions of the Markov property relative to a partial ordering have been proposed by both physicists and mathematicians. This work develops techniques for stying Markov fields on partially ordered sets. We introduce random transformations of the index set which preserves the Markov property of the field. These transformations yield new classes of Markov fields starting from relatively simple ones. Examples include a model for crack formation and a model for the distribution of fibres in a composite material.

Textile Systems For Endomorphisms And Automorphisms Of The Shift

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Author : Masakazu Nasu
language : en
Publisher: American Mathematical Soc.
Release Date : 1995

Textile Systems For Endomorphisms And Automorphisms Of The Shift written by Masakazu Nasu 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 1995 with Mathematics categories.

We introduce the notion of a textile system. Using this, we study the dynamical properties of endomorphisms and automorphisms of topological Markov shifts including one-sided ones. The dynamical properties of automorphisms of sofic systems are also studied.

Parabolic Anderson Problem And Intermittency

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Author : René Carmona
language : en
Publisher: American Mathematical Soc.
Release Date : 1994

Parabolic Anderson Problem And Intermittency written by René Carmona 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 1994 with Mathematics categories.

This book is devoted to the analysis of the large time asymptotics of the solutions of the heat equation in a random time-dependent potential. The authors give complete results in the discrete case of the d-dimensional lattice when the potential is, at each site, a Brownian motion in time. The phenomenon of intermittency of the solutions is discussed.

Markov Cell Structures Near A Hyperbolic Set

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Author : F. Thomas Farrell
language : en
Publisher: American Mathematical Soc.
Release Date : 1993

Markov Cell Structures Near A Hyperbolic Set written by F. Thomas Farrell 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 1993 with Mathematics categories.

The authors' argument is a spiritual descendent of earlier work of Adler and Weiss, Sinaĭ, and Bowen, and involves a close study of triangulations. The discussion is long and technical, but the outline of the proof is sketched clearly in Section 1 for the special case of [italic]F an expanding immersion. A concluding section lists problems on hyperbolic sets, Markov partitions, and related matters; remarks on topological invariants, including the conjectured vanishing of Pontryagin classes for manifolds supporting Anosov diffeomorphisms, may be of particular interest.

The Cohen Macaulay And Gorenstein Rees Algebras Associated To Filtrations

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Author : Shirō Gotō
language : en
Publisher: American Mathematical Soc.
Release Date : 1994

The Cohen Macaulay And Gorenstein Rees Algebras Associated To Filtrations written by Shirō Gotō 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 1994 with Mathematics categories.

At first, this volume was intended to be an investigation of symbolic blow-up rings for prime ideals defining curve singularities. The motivation for that has come from the recent 3-dimensional counterexamples to Cowsik's question, given by the authors and Watanabe: it has to be helpful, for further researches on Cowsik's question and a related problem of Kronecker, to generalize their methods to those of a higher dimension. However, while the study was progressing, it proved apparent that the framework of Part I still works, not only for the rather special symbolic blow-up rings but also in the study of Rees algebras R(F) associated to general filtrations F = {F[subscript]n} [subscript]n [subscript][set membership symbol][subscript bold]Z of ideals. This observation is closely explained in Part II of this volume, as a general ring-theory of Rees algebras R(F). We are glad if this volume will be a new starting point for the further researchers on Rees algebras R(F) and their associated graded rings G(F).

Higher Spinor Classes

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Author : J. F. Jardine
language : en
Publisher: American Mathematical Soc.
Release Date : 1994

Higher Spinor Classes written by J. F. Jardine 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 1994 with Mathematics categories.

This work defines the higher spinor classes of an orthogonal representation of a Galois group. These classes are higher-degree analogues of the Fröhlich spinor class, which quantify the difference between the Stiefel-Whitney classes of an orthogonal representation and the Hasse-Witt classes of the associated form. Jardine establishes various basic properties, including vanishing in odd degrees and an induction formula for quadratic field extensions. The methods used include the homotopy theory of simplicial presheaves and the action of the Steenrod algebra on mod 2 étale cohomology.

Symplectic Cobordism And The Computation Of Stable Stems

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Author : Stanley O. Kochman
language : en
Publisher: American Mathematical Soc.
Release Date : 1993

Symplectic Cobordism And The Computation Of Stable Stems written by Stanley O. Kochman 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 1993 with Mathematics categories.

This memoir consists of two independent papers. In the first, "The symplectic cobordism ring III" the classical Adams spectral sequence is used to study the symplectic cobordism ring [capital Greek]Omega[superscript]* [over] [subscript italic capital]S[subscript italic]p. In the second, "The symplectic Adams Novikov spectral sequence for spheres" we analyze the symplectic Adams-Novikov spectral sequence converging to the stable homotopy groups of spheres.