Markov Fields Over Countable Partially Ordered Sets Extrema And Splitting
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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.
Markov Fields Over Countable Partially Ordered Sets
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Author : I. V. Evstigneev
language : en
Publisher:
Release Date : 1994
Markov Fields Over Countable Partially Ordered Sets written by I. V. Evstigneev and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Markov random fields categories.
Markov Fields Over Countable Partially Ordered Sets
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Author : Igor' Vi︠a︡cheslavovich Evstigneev
language : en
Publisher:
Release Date : 1992
Markov Fields Over Countable Partially Ordered Sets written by Igor' Vi︠a︡cheslavovich Evstigneev and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with categories.
Orders Of A Quartic Field
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Author : Jin Nakagawa
language : en
Publisher: American Mathematical Soc.
Release Date : 1996
Orders Of A Quartic Field written by Jin Nakagawa 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 1996 with Mathematics categories.
In this book, the author studies the Dirichlet series whose coefficients are the number of orders of a quartic field with given indices. Nakagawa gives an explicit expression of the Dirichlet series. Using this expression, its analytic properties are deduced. He also presents an asymptotic formula for the number of orders in a quartic field with index less than a given positive number.
Global Aspects Of Homoclinic Bifurcations Of Vector Fields
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Author : Ale Jan Homburg
language : en
Publisher: American Mathematical Soc.
Release Date : 1996
Global Aspects Of Homoclinic Bifurcations Of Vector Fields written by Ale Jan Homburg 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 1996 with Mathematics categories.
In this book, the author investigates a class of smooth one parameter families of vector fields on some $n$-dimensional manifold, exhibiting a homoclinic bifurcation. That is, he considers generic families $x_\mu$, where $x_0$ has a distinguished hyperbolic singularity $p$ and a homoclinic orbit; an orbit converging to $p$ both for positive and negative time. It is assumed that this homoclinic orbit is of saddle-saddle type, characterized by the existence of well-defined directions along which it converges to the singularity $p$. The study is not confined to a small neighborhood of the homoclinic orbit. Instead, the position of the stable and unstable set of the homoclinic orbit is incorporated and it is shown that homoclinic bifurcations can lead to complicated bifurcations and dynamics, including phenomena like intermittency and annihilation of suspended horseshoes.
The Economy As An Evolving Complex System Ii
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Author : W. Brian Arthur
language : en
Publisher: CRC Press
Release Date : 2018-05-04
The Economy As An Evolving Complex System Ii written by W. Brian Arthur and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-04 with Mathematics categories.
A new view of the economy as an evolving, complex system has been pioneered at the Santa Fe Institute over the last ten years, This volume is a collection of articles that shape and define this view?a view of the economy as emerging from the interactions of individual agents whose behavior constantly evolves, whose strategies and actions are always adapting.The traditional framework in economics portrays activity within an equilibrium steady state. The interacting agents in the economy are typically homogenous, solve well-defined problems using perfect rationality, and act within given legal and social structures. The complexity approach, by contrast, sees economic activity as continually changing?continually in process. The interacting agents are typically heterogeneous, they must cognitively interpret the problems they face, and together they create the structures?markets, legal and social institutions, price patters, expectations?to which they individually react. Such structures may never settle down. Agents may forever adapt and explore and evolve their behaviors within structures that continually emerge and change and disappear?structures these behaviors co-create. This complexity approach does not replace the equilibrium one?it complements it.The papers here collected originated at a recent conference at the Santa Fe Institute, which was called to follow up the well-known 1987 SFI conference organized by Philip Anderson, Kenneth Arrow, and David Pines. They survey the new study of complexity and the economy. They apply this approach to real economic problems and they show the extent to which the initial vision of the 1987 conference has come to fruition.
Second Order Sturm Liouville Difference Equations And Orthogonal Polynomials
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Author : Alouf Jirari
language : en
Publisher: American Mathematical Soc.
Release Date : 1995
Second Order Sturm Liouville Difference Equations And Orthogonal Polynomials written by Alouf Jirari 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.
This memoir presents machinery for analyzing many discrete physical situations, and should be of interest to physicists, engineers, and mathematicians. We develop a theory for regular and singular Sturm-Liouville boundary value problems for difference equations, generalizing many of the known results for differential equations. We discuss the self-adjointness of these problems as well as their abstract spectral resolution in the appropriate [italic capital]L2 setting, and give necessary and sufficient conditions for a second-order difference operator to be self-adjoint and have orthogonal polynomials as eigenfunctions.
Automorphisms Of The Lattice Of Recursively Enumerable Sets
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Author : Peter Cholak
language : en
Publisher: American Mathematical Soc.
Release Date : 1995
Automorphisms Of The Lattice Of Recursively Enumerable Sets written by Peter Cholak 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.
A version of Harrington's [capital Greek]Delta3-automorphism technique for the lattice of recursively enumerable sets is introduced and developed by reproving Soare's Extension Theorem. Then this automorphism technique is used to show two technical theorems: the High Extension Theorem I and the High Extension Theorem II. This is a degree-theoretic technique for constructing both automorphisms of the lattice of r.e. sets and isomorphisms between various substructures of the lattice.
Hilbert Modules Over Operator Algebras
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Author : Paul S. Muhly
language : en
Publisher: American Mathematical Soc.
Release Date : 1995
Hilbert Modules Over Operator Algebras written by Paul S. Muhly 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.
Addresses the three-dimensional generalization of category, offering a full definition of tricategory; a proof of the coherence theorem for tricategories; and a modern source of material on Gray's tensor product of 2-categories. Of interest to research mathematicians; theoretical physicists, algebraic topologists; 3-D computer scientists; and theoretical computer scientists. Society members, $19.00. No index. Annotation copyright by Book News, Inc., Portland, OR
Analytic Deformations Of The Spectrum Of A Family Of Dirac Operators On An Odd Dimensional Manifold With Boundary
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Author : Paul Kirk
language : en
Publisher: American Mathematical Soc.
Release Date : 1996
Analytic Deformations Of The Spectrum Of A Family Of Dirac Operators On An Odd Dimensional Manifold With Boundary written by Paul Kirk 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 1996 with Mathematics categories.
The analytic perturbation theory for eigenvalues of Dirac operators on odd dimensional manifolds with boundary is described in terms of [italic]extended L2 eigenvectors [end italics] on manifolds with cylindrical ends. These are generalizations of the Atiyah-Patodi-Singer extended [italic capital]L2 kernel of a Dirac operator. We prove that they form a discrete set near zero and deform analytically, in contrast to [italic capital]L2 eigenvectors, which can be absorbed into the continuous spectrum under deformations when the tangential operator is not invertible. We show that the analytic deformation theory for extended [italic capital]L2 eigenvectors and Atiyah-Patodi-Singer eigenvectors coincides.