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Excluding Infinite Clique Minors
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Book Synopsis Excluding Infinite Clique Minors by : Neil Robertson
Download or read book Excluding Infinite Clique Minors written by Neil Robertson and published by American Mathematical Soc.. This book was released on 1995 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: For each infinite cardinal [lowercase Greek]Kappa, we give a structural characterization of the graphs with no [italic capital]K[subscript lowercase Greek]Kappa minor. We also give such a characterization of the graphs with no "half-grid" minor.
Book Synopsis Directions in Infinite Graph Theory and Combinatorics by : R. Diestel
Download or read book Directions in Infinite Graph Theory and Combinatorics written by R. Diestel and published by Elsevier. This book was released on 2016-06-06 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has arisen from a colloquium held at St. John's College, Cambridge, in July 1989, which brought together most of today's leading experts in the field of infinite graph theory and combinatorics. This was the first such meeting ever held, and its aim was to assess the state of the art in the discipline, to consider its links with other parts of mathematics, and to discuss possible directions for future development. This volume reflects the Cambridge meeting in both level and scope. It contains research papers as well as expository surveys of particular areas. Together they offer a comprehensive portrait of infinite graph theory and combinatorics, which should be particularly attractive to anyone new to the discipline.
Book Synopsis Integrable Systems and Riemann Surfaces of Infinite Genus by : Martin Ulrich Schmidt
Download or read book Integrable Systems and Riemann Surfaces of Infinite Genus written by Martin Ulrich Schmidt and published by American Mathematical Soc.. This book was released on 1996 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt: This memoir develops the spectral theory of the Lax operators of nonlinear Schrödinger-like partial differential equations with periodic boundary conditions. Their special curves, i.e., the common spectrum with the periodic shifts, are generically Riemann surfaces of infinite genus. The points corresponding to infinite energy are added. The resulting spaces are no longer Riemann surfaces in the usual sense, but they are quite similar to compact Riemann surfaces.
Book Synopsis Orders of a Quartic Field by : Jin Nakagawa
Download or read book Orders of a Quartic Field written by Jin Nakagawa and published by American Mathematical Soc.. This book was released on 1996 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis The Fundamental Lemma for the Shalika Subgroup of $GL(4)$ by : Solomon Friedberg
Download or read book The Fundamental Lemma for the Shalika Subgroup of $GL(4)$ written by Solomon Friedberg and published by American Mathematical Soc.. This book was released on 1996 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors establish the fundamental lemma for a relative trace formula. The trace formula compares generic automorphic representations of [italic capitals]GS[italic]p(4) with automorphic representations of [italic capitals]GS(4) which are distinguished with respect to a character of the Shalika subgroup, the subgroup of matrices of 2 x 2 block form ([superscript italic]g [over] [subscript capital italic]X [and] 0 [over] [superscript italic]g). The fundamental lemma, giving the equality of the orbital integrals of the unit elements of the respective Hecke algebras, amounts to a comparison of certain exponential sums arising from these two different groups.
Book Synopsis Stratifying Endomorphism Algebras by : Edward Cline
Download or read book Stratifying Endomorphism Algebras written by Edward Cline and published by American Mathematical Soc.. This book was released on 1996 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper presents a systematic study of the relationships between the representation theories of [italic capital]R and [italic capital]A, especially those involving actual or potential quasi-hereditary structures on the latter algebra. Our original motivation comes from the theory of Schur algebras, work of Soergel on the Bernstein-Gelfand-Gelfand category [script capital]O, and resent results of Dlab-Heath-Marko realizing certain endomorphism algebras as quasi-hereditary algebras. We synthesize common features of all these examples, and go beyond them in a number of new directions.
Book Synopsis Symmetric Automorphisms of Free Products by : Darryl McCullough
Download or read book Symmetric Automorphisms of Free Products written by Darryl McCullough and published by American Mathematical Soc.. This book was released on 1996 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors construct a complex [italic capital]K([italic capital]G) on which the automorphism group of [italic capital]G acts and use it to derive finiteness consequences for the group [capital Greek]Sigma [italic]Aut([italic capital]G). They prove that each component of [italic capital]K([italic capital]G) is contractible and describe the vertex stabilizers as elementary constructs involving the groups [italic capital]G[subscript italic]i and [italic]Aut([italic capital]G[subscript italic]i).
Book Synopsis The Operator Hilbert Space $OH$, Complex Interpolation and Tensor Norms by : Gilles Pisier
Download or read book The Operator Hilbert Space $OH$, Complex Interpolation and Tensor Norms written by Gilles Pisier and published by American Mathematical Soc.. This book was released on 1996 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the recently developed duality theory of operator spaces, bounded operators are replaced by 'completely bounded' ones, isomorphism by 'complete isomorphisms' and Banach spaces by 'operator spaces'. This allows for distinguishing between the various ways in which a given Banach space can be embedded isometrically into [italic capital]B([italic capital]H) (with H being Hilbert). One of the main results is the observation that there is a central object in this class: there is a unique self dual Hilbertian operator space (which we denote by [italic capitals]OH) which seems to play the same central role in the category of operator spaces that Hilbert spaces play in the category of Banach spaces.
Book Synopsis The Structure of $k$-$CS$- Transitive Cycle-Free Partial Orders by : Richard Warren
Download or read book The Structure of $k$-$CS$- Transitive Cycle-Free Partial Orders written by Richard Warren and published by American Mathematical Soc.. This book was released on 1997 with total page 183 pages. Available in PDF, EPUB and Kindle. Book excerpt: The class of cycle-free partial orders (CFPOs) is defined, and the CFPOs fulfilling a natural transitivity assumption, called k-connected set transitivity (k-CS-transitivity), are analysed in some detail. Classification in many of the interesting cases is given. This work generlizes Droste's classification of the countable k-transitive trees (k>1). In a CFPO, the structure can be branch downwards as well as upwards, and can do so repeatedely (though it neverr returns to the starting point by a cycle). Mostly it is assumed that k>2 and that all maximal chains are finite. The main classification splits into the sporadic and skeletal cases. The former is complete in all cardinalities. The latter is performed only in the countable case. The classification is considerably more complicated than for trees, and skeletal CFPOs exhibit rich, elaborate and rather surprising behaviour.
Book Synopsis Some Connections between Isoperimetric and Sobolev-type Inequalities by : Serguei Germanovich Bobkov
Download or read book Some Connections between Isoperimetric and Sobolev-type Inequalities written by Serguei Germanovich Bobkov and published by American Mathematical Soc.. This book was released on 1997 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt: For Borel probability measures on metric spaces, this text studies the interplay between isoperimetric and Sobolev-type inequalities. In particular the question of finding optimal constants via isoperimetric quantities is explored. Also given are necessary and sufficient conditions for the equivalence between the extremality of some sets in the isoperimetric problem and the validity of some analytic inequalities. The book devotes much attention to: the probability distributions on the real line; the normalized Lebesgue measure on the Euclidean sheres; and the canonical Gaussian measure on the Euclidean space.
Book Synopsis Relations Related to Betweenness: Their Structure and Automorphisms by : Samson Adepoju Adeleke
Download or read book Relations Related to Betweenness: Their Structure and Automorphisms written by Samson Adepoju Adeleke and published by American Mathematical Soc.. This book was released on 1998 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is about tree-like structures, namely semilinear ordering, general betweenness relations, C-relations and D-relations. It contains a systematic study of betweenness and introduces C- and D- relations to describe the behaviour of points at infinity (leaves or ends or directions of trees). The focus is on structure theorems and on automorphism groups, with applications to the theory of infinite permutation groups.
Book Synopsis Two Classes of Riemannian Manifolds Whose Geodesic Flows Are Integrable by : Kazuyoshi Kiyohara
Download or read book Two Classes of Riemannian Manifolds Whose Geodesic Flows Are Integrable written by Kazuyoshi Kiyohara and published by American Mathematical Soc.. This book was released on 1997 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two classes of manifolds whose geodesic flows are integrable are defined, and their global structures are investigated. They are called Liouville manifolds and Kahler-Liouville manifolds respectively. In each case, the author finds several invariants with which they are partly classified. The classification indicates, in particular, that these classes contain many new examples of manifolds with integrable geodesic flow.
Book Synopsis Higher Multiplicities and Almost Free Divisors and Complete Intersections by : James Damon
Download or read book Higher Multiplicities and Almost Free Divisors and Complete Intersections written by James Damon and published by American Mathematical Soc.. This book was released on 1996 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: Almost free divisors and complete intersections form a general class of nonisolated hypersurface and completer intersection singularities. They also include discriminants of mappings, bifurcation sets, and certain types of arrangements of hyperplanes such as Coxeter arrangements and generic arrangements. Associated to the singularities of this class is a "singular Milnor fibration" which has the same homotopy properties as the Milnor fibration for isolated singularities. This memoir deduces topological properties of singularities in a number of situations including: complements of hyperplane arrangements, various nonisolated complete intersections, nonlinear arrangements of hypersurfaces, functions on discriminants, singularities defined by compositions of functions, and bifurcation sets.
Book Synopsis Cyclic Phenomena for Composition Operators by : Paul Bourdon
Download or read book Cyclic Phenomena for Composition Operators written by Paul Bourdon and published by American Mathematical Soc.. This book was released on 1997 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: We undertake a systematic study of cyclic phenomena for composition operators. Our work shows that composition operators exhibit strikingly diverse types of cyclic behavior, and it connects this behavior with classical problems involving complex polynomial approximation and analytic functional equations.
Book Synopsis A Continuum Limit of the Toda Lattice by : Percy Deift
Download or read book A Continuum Limit of the Toda Lattice written by Percy Deift and published by American Mathematical Soc.. This book was released on 1998 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, the authors describe a continuum limit of the Toda ODE system, obtained by taking as initial data for the finite lattice successively finer discretizations of two smooth functions. Using the integrability of the finite Toda lattice, the authors adapt the method introduced by Lax and Levermore for the study of the small dispersion limit of the Korteweg de Vries equations to the case of the Toda lattice. A general class of initial data is considered which permits, in particular, the formation of shocks. A feature of the analysis in this book is an extensive use of techniques from the theory of Riemann-Hilbert problems.
Book Synopsis Families of Curves in ${\mathbb P}^3$ and Zeuthen's Problem by : Robin Hartshorne
Download or read book Families of Curves in ${\mathbb P}^3$ and Zeuthen's Problem written by Robin Hartshorne and published by American Mathematical Soc.. This book was released on 1997 with total page 111 pages. Available in PDF, EPUB and Kindle. Book excerpt: Content Description #"November 1997, volume 130, number 617 (first of 4 numbers)."#On t.p. "P" is blackboard bold.#Includes bibliographical references.
Book Synopsis Crossed Products with Continuous Trace by : Siegfried Echterhoff
Download or read book Crossed Products with Continuous Trace written by Siegfried Echterhoff and published by American Mathematical Soc.. This book was released on 1996 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: This memoir presents an extensive study of strongly continuous actions of abelian locally compact groups on [italic capital]C*-algebras with continuous trace. Expositions of the Mackey-Green-Rieffel machine of induced representations and the theory of Morita equivalent [italic capital]C*-dynamical systems are included. There is also an elaboration of the representation theory of crossed products by actions of abelian groups on type I [italic capital]C*-algebras.
