Systems Of Transversal Sections Near Critical Energy Levels Of Hamiltonian Systems In R

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Systems of Transversal Sections Near Critical Energy Levels of Hamiltonian Systems in R

Author : Naiara V. de Paulo
Publisher : American Mathematical Soc.
ISBN 13 : 1470428016
Total Pages : 105 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Systems of Transversal Sections Near Critical Energy Levels of Hamiltonian Systems in R by : Naiara V. de Paulo

Download or read book Systems of Transversal Sections Near Critical Energy Levels of Hamiltonian Systems in R written by Naiara V. de Paulo and published by American Mathematical Soc.. This book was released on 2018-03-19 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this article the authors study Hamiltonian flows associated to smooth functions R R restricted to energy levels close to critical levels. They assume the existence of a saddle-center equilibrium point in the zero energy level . The Hamiltonian function near is assumed to satisfy Moser's normal form and is assumed to lie in a strictly convex singular subset of . Then for all small, the energy level contains a subset near , diffeomorphic to the closed -ball, which admits a system of transversal sections , called a foliation. is a singular foliation of and contains two periodic orbits and as binding orbits. is the Lyapunoff orbit lying in the center manifold of , has Conley-Zehnder index and spans two rigid planes in . has Conley-Zehnder index and spans a one parameter family of planes in . A rigid cylinder connecting to completes . All regular leaves are transverse to the Hamiltonian vector field. The existence of a homoclinic orbit to in follows from this foliation.

Systems of Transversal Sections Near Critical Energy Levels of Hamiltonian Systems in R4

Author : Naiara V. De Paulo
Publisher :
ISBN 13 : 9781470443733
Total Pages : 105 pages
Book Rating : 4.4/5 (437 download)

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Book Synopsis Systems of Transversal Sections Near Critical Energy Levels of Hamiltonian Systems in R4 by : Naiara V. De Paulo

Download or read book Systems of Transversal Sections Near Critical Energy Levels of Hamiltonian Systems in R4 written by Naiara V. De Paulo and published by . This book was released on 2018 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Degree Spectra of Relations on a Cone

Author : Matthew Harrison-Trainor
Publisher : American Mathematical Soc.
ISBN 13 : 1470428393
Total Pages : 107 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Degree Spectra of Relations on a Cone by : Matthew Harrison-Trainor

Download or read book Degree Spectra of Relations on a Cone written by Matthew Harrison-Trainor and published by American Mathematical Soc.. This book was released on 2018-05-29 with total page 107 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Algebraic Q-Groups as Abstract Groups

Author : Olivier Frécon
Publisher : American Mathematical Soc.
ISBN 13 : 1470429233
Total Pages : 99 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Algebraic Q-Groups as Abstract Groups by : Olivier Frécon

Download or read book Algebraic Q-Groups as Abstract Groups written by Olivier Frécon and published by American Mathematical Soc.. This book was released on 2018-10-03 with total page 99 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author analyzes the abstract structure of algebraic groups over an algebraically closed field . For of characteristic zero and a given connected affine algebraic Q -group, the main theorem describes all the affine algebraic Q -groups such that the groups and are isomorphic as abstract groups. In the same time, it is shown that for any two connected algebraic Q -groups and , the elementary equivalence of the pure groups and implies that they are abstractly isomorphic. In the final section, the author applies his results to characterize the connected algebraic groups, all of whose abstract automorphisms are standard, when is either Q or of positive characteristic. In characteristic zero, a fairly general criterion is exhibited.

Diophantine Approximation and the Geometry of Limit Sets in Gromov Hyperbolic Metric Spaces

Author : Lior Fishman
Publisher : American Mathematical Soc.
ISBN 13 : 1470428865
Total Pages : 137 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Diophantine Approximation and the Geometry of Limit Sets in Gromov Hyperbolic Metric Spaces by : Lior Fishman

Download or read book Diophantine Approximation and the Geometry of Limit Sets in Gromov Hyperbolic Metric Spaces written by Lior Fishman and published by American Mathematical Soc.. This book was released on 2018-08-09 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, the authors provide a complete theory of Diophantine approximation in the limit set of a group acting on a Gromov hyperbolic metric space. This summarizes and completes a long line of results by many authors, from Patterson's classic 1976 paper to more recent results of Hersonsky and Paulin (2002, 2004, 2007). The authors consider concrete examples of situations which have not been considered before. These include geometrically infinite Kleinian groups, geometrically finite Kleinian groups where the approximating point is not a fixed point of any element of the group, and groups acting on infinite-dimensional hyperbolic space. Moreover, in addition to providing much greater generality than any prior work of which the authors are aware, the results also give new insight into the nature of the connection between Diophantine approximation and the geometry of the limit set within which it takes place. Two results are also contained here which are purely geometric: a generalization of a theorem of Bishop and Jones (1997) to Gromov hyperbolic metric spaces, and a proof that the uniformly radial limit set of a group acting on a proper geodesic Gromov hyperbolic metric space has zero Patterson–Sullivan measure unless the group is quasiconvex-cocompact. The latter is an application of a Diophantine theorem.

Perihelia Reduction and Global Kolmogorov Tori in the Planetary Problem

Author : Gabriella Pinzari
Publisher : American Mathematical Soc.
ISBN 13 : 1470441020
Total Pages : 92 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Perihelia Reduction and Global Kolmogorov Tori in the Planetary Problem by : Gabriella Pinzari

Download or read book Perihelia Reduction and Global Kolmogorov Tori in the Planetary Problem written by Gabriella Pinzari and published by American Mathematical Soc.. This book was released on 2018-10-03 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author proves the existence of an almost full measure set of -dimensional quasi-periodic motions in the planetary problem with masses, with eccentricities arbitrarily close to the Levi–Civita limiting value and relatively high inclinations. This extends previous results, where smallness of eccentricities and inclinations was assumed. The question had been previously considered by V. I. Arnold in the 1960s, for the particular case of the planar three-body problem, where, due to the limited number of degrees of freedom, it was enough to use the invariance of the system by the SO(3) group. The proof exploits nice parity properties of a new set of coordinates for the planetary problem, which reduces completely the number of degrees of freedom for the system (in particular, its degeneracy due to rotations) and, moreover, is well fitted to its reflection invariance. It allows the explicit construction of an associated close to be integrable system, replacing Birkhoff normal form, a common tool of previous literature.

Bordered Heegaard Floer Homology

Author : Robert Lipshitz
Publisher : American Mathematical Soc.
ISBN 13 : 1470428881
Total Pages : 279 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Bordered Heegaard Floer Homology by : Robert Lipshitz

Download or read book Bordered Heegaard Floer Homology written by Robert Lipshitz and published by American Mathematical Soc.. This book was released on 2018-08-09 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors construct Heegaard Floer theory for 3-manifolds with connected boundary. The theory associates to an oriented, parametrized two-manifold a differential graded algebra. For a three-manifold with parametrized boundary, the invariant comes in two different versions, one of which (type D) is a module over the algebra and the other of which (type A) is an A∞ module. Both are well-defined up to chain homotopy equivalence. For a decomposition of a 3-manifold into two pieces, the A∞ tensor product of the type D module of one piece and the type A module from the other piece is ^HF of the glued manifold. As a special case of the construction, the authors specialize to the case of three-manifolds with torus boundary. This case can be used to give another proof of the surgery exact triangle for ^HF. The authors relate the bordered Floer homology of a three-manifold with torus boundary with the knot Floer homology of a filling.

A Morse-Bott Approach to Monopole Floer Homology and the Triangulation Conjecture

Author : Francesco Lin
Publisher : American Mathematical Soc.
ISBN 13 : 1470429632
Total Pages : 162 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis A Morse-Bott Approach to Monopole Floer Homology and the Triangulation Conjecture by : Francesco Lin

Download or read book A Morse-Bott Approach to Monopole Floer Homology and the Triangulation Conjecture written by Francesco Lin and published by American Mathematical Soc.. This book was released on 2018-10-03 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the present work the author generalizes the construction of monopole Floer homology due to Kronheimer and Mrowka to the case of a gradient flow with Morse-Bott singularities. Focusing then on the special case of a three-manifold equipped equipped with a structure which is isomorphic to its conjugate, the author defines the counterpart in this context of Manolescu's recent Pin(2)-equivariant Seiberg-Witten-Floer homology. In particular, the author provides an alternative approach to his disproof of the celebrated Triangulation conjecture.

Szegő Kernel Asymptotics for High Power of CR Line Bundles and Kodaira Embedding Theorems on CR Manifolds

Author : Chin-Yu Hsiao
Publisher : American Mathematical Soc.
ISBN 13 : 1470441012
Total Pages : 140 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Szegő Kernel Asymptotics for High Power of CR Line Bundles and Kodaira Embedding Theorems on CR Manifolds by : Chin-Yu Hsiao

Download or read book Szegő Kernel Asymptotics for High Power of CR Line Bundles and Kodaira Embedding Theorems on CR Manifolds written by Chin-Yu Hsiao and published by American Mathematical Soc.. This book was released on 2018-08-09 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let X be an abstract not necessarily compact orientable CR manifold of dimension 2n−1, n⩾2, and let Lk be the k-th tensor power of a CR complex line bundle L over X. Given q∈{0,1,…,n−1}, let □(q)b,k be the Gaffney extension of Kohn Laplacian for (0,q) forms with values in Lk. For λ≥0, let Π(q)k,≤λ:=E((−∞,λ]), where E denotes the spectral measure of □(q)b,k. In this work, the author proves that Π(q)k,≤k−N0F∗k, FkΠ(q)k,≤k−N0F∗k, N0≥1, admit asymptotic expansions with respect to k on the non-degenerate part of the characteristic manifold of □(q)b,k, where Fk is some kind of microlocal cut-off function. Moreover, we show that FkΠ(q)k,≤0F∗k admits a full asymptotic expansion with respect to k if □(q)b,k has small spectral gap property with respect to Fk and Π(q)k,≤0 is k-negligible away the diagonal with respect to Fk. By using these asymptotics, the authors establish almost Kodaira embedding theorems on CR manifolds and Kodaira embedding theorems on CR manifolds with transversal CR S1 action.

On Non-Generic Finite Subgroups of Exceptional Algebraic Groups

Author : Alastair J. Litterick
Publisher : American Mathematical Soc.
ISBN 13 : 1470428377
Total Pages : 156 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis On Non-Generic Finite Subgroups of Exceptional Algebraic Groups by : Alastair J. Litterick

Download or read book On Non-Generic Finite Subgroups of Exceptional Algebraic Groups written by Alastair J. Litterick and published by American Mathematical Soc.. This book was released on 2018-05-29 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Holomorphic Automorphic Forms and Cohomology

Author : Roelof Bruggeman
Publisher : American Mathematical Soc.
ISBN 13 : 1470428555
Total Pages : 167 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Holomorphic Automorphic Forms and Cohomology by : Roelof Bruggeman

Download or read book Holomorphic Automorphic Forms and Cohomology written by Roelof Bruggeman and published by American Mathematical Soc.. This book was released on 2018-05-29 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Elliptic PDEs on Compact Ricci Limit Spaces and Applications

Author : Shouhei Honda
Publisher : American Mathematical Soc.
ISBN 13 : 1470428547
Total Pages : 92 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Elliptic PDEs on Compact Ricci Limit Spaces and Applications by : Shouhei Honda

Download or read book Elliptic PDEs on Compact Ricci Limit Spaces and Applications written by Shouhei Honda and published by American Mathematical Soc.. This book was released on 2018-05-29 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper the author studies elliptic PDEs on compact Gromov-Hausdorff limit spaces of Riemannian manifolds with lower Ricci curvature bounds. In particular the author establishes continuities of geometric quantities, which include solutions of Poisson's equations, eigenvalues of Schrödinger operators, generalized Yamabe constants and eigenvalues of the Hodge Laplacian, with respect to the Gromov-Hausdorff topology. The author applies these to the study of second-order differential calculus on such limit spaces.

Mathematical Study of Degenerate Boundary Layers: A Large Scale Ocean Circulation Problem

Author : Anne-Laure Dalibard
Publisher : American Mathematical Soc.
ISBN 13 : 1470428350
Total Pages : 111 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Mathematical Study of Degenerate Boundary Layers: A Large Scale Ocean Circulation Problem by : Anne-Laure Dalibard

Download or read book Mathematical Study of Degenerate Boundary Layers: A Large Scale Ocean Circulation Problem written by Anne-Laure Dalibard and published by American Mathematical Soc.. This book was released on 2018-05-29 with total page 111 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Globally Generated Vector Bundles with Small C1 on Projective Spaces

Author : Cristian Anghel
Publisher : American Mathematical Soc.
ISBN 13 : 1470428385
Total Pages : 107 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Globally Generated Vector Bundles with Small C1 on Projective Spaces by : Cristian Anghel

Download or read book Globally Generated Vector Bundles with Small C1 on Projective Spaces written by Cristian Anghel and published by American Mathematical Soc.. This book was released on 2018-05-29 with total page 107 pages. Available in PDF, EPUB and Kindle. Book excerpt:

From Vertex Operator Algebras to Conformal Nets and Back

Author : Sebastiano Carpi
Publisher : American Mathematical Soc.
ISBN 13 : 147042858X
Total Pages : 85 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis From Vertex Operator Algebras to Conformal Nets and Back by : Sebastiano Carpi

Download or read book From Vertex Operator Algebras to Conformal Nets and Back written by Sebastiano Carpi and published by American Mathematical Soc.. This book was released on 2018-08-09 with total page 85 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors consider unitary simple vertex operator algebras whose vertex operators satisfy certain energy bounds and a strong form of locality and call them strongly local. They present a general procedure which associates to every strongly local vertex operator algebra V a conformal net AV acting on the Hilbert space completion of V and prove that the isomorphism class of AV does not depend on the choice of the scalar product on V. They show that the class of strongly local vertex operator algebras is closed under taking tensor products and unitary subalgebras and that, for every strongly local vertex operator algebra V, the map W↦AW gives a one-to-one correspondence between the unitary subalgebras W of V and the covariant subnets of AV.

Neckpinch Dynamics for Asymmetric Surfaces Evolving by Mean Curvature Flow

Author : Zhou Gang
Publisher : American Mathematical Soc.
ISBN 13 : 1470428407
Total Pages : 78 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Neckpinch Dynamics for Asymmetric Surfaces Evolving by Mean Curvature Flow by : Zhou Gang

Download or read book Neckpinch Dynamics for Asymmetric Surfaces Evolving by Mean Curvature Flow written by Zhou Gang and published by American Mathematical Soc.. This book was released on 2018-05-29 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Bellman Function for Extremal Problems in BMO II: Evolution

Author : Paata Ivanisvili
Publisher : American Mathematical Soc.
ISBN 13 : 1470429543
Total Pages : 136 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Bellman Function for Extremal Problems in BMO II: Evolution by : Paata Ivanisvili

Download or read book Bellman Function for Extremal Problems in BMO II: Evolution written by Paata Ivanisvili and published by American Mathematical Soc.. This book was released on 2018-10-03 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a previous study, the authors built the Bellman function for integral functionals on the space. The present paper provides a development of the subject. They abandon the majority of unwanted restrictions on the function that generates the functional. It is the new evolutional approach that allows the authors to treat the problem in its natural setting. What is more, these new considerations lighten dynamical aspects of the Bellman function, in particular, the evolution of its picture.