Author: Yael Karshon
Publisher: American Mathematical Soc.
ISBN: 0821811819
Category : Mathematics
Languages : en
Pages : 87
Book Description
This book is intended for graduate students and research mathematicians interested in global analysis, analysis on manifolds, and symplectic geometry.
Periodic Hamiltonian Flows on Four Dimensional Manifolds
Author: Yael Karshon
Publisher: American Mathematical Soc.
ISBN: 0821811819
Category : Mathematics
Languages : en
Pages : 87
Book Description
This book is intended for graduate students and research mathematicians interested in global analysis, analysis on manifolds, and symplectic geometry.
Publisher: American Mathematical Soc.
ISBN: 0821811819
Category : Mathematics
Languages : en
Pages : 87
Book Description
This book is intended for graduate students and research mathematicians interested in global analysis, analysis on manifolds, and symplectic geometry.
Periodic Hamiltonian Flows on Four Dimensional Manifolds
Author: Yael Karshon
Publisher: American Mathematical Society(RI)
ISBN: 9781470402631
Category : MATHEMATICS
Languages : en
Pages : 87
Book Description
This book is intended for graduate students and research mathematicians interested in global analysis, analysis on manifolds, and symplectic geometry.
Publisher: American Mathematical Society(RI)
ISBN: 9781470402631
Category : MATHEMATICS
Languages : en
Pages : 87
Book Description
This book is intended for graduate students and research mathematicians interested in global analysis, analysis on manifolds, and symplectic geometry.
Diffeomorphisms and Noncommutative Analytic Torsion
Author: John Lott
Publisher: American Mathematical Soc.
ISBN: 0821811894
Category : Mathematics
Languages : en
Pages : 71
Book Description
This book is intended for graduate students and research mathematicians working in global analysis and analysis on manifolds
Publisher: American Mathematical Soc.
ISBN: 0821811894
Category : Mathematics
Languages : en
Pages : 71
Book Description
This book is intended for graduate students and research mathematicians working in global analysis and analysis on manifolds
$A_1$ Subgroups of Exceptional Algebraic Groups
Author: Ross Lawther
Publisher: American Mathematical Soc.
ISBN: 0821819666
Category : Mathematics
Languages : en
Pages : 146
Book Description
This book is intended for graduate students and research mathematicians interested in group theory and genralizations
Publisher: American Mathematical Soc.
ISBN: 0821819666
Category : Mathematics
Languages : en
Pages : 146
Book Description
This book is intended for graduate students and research mathematicians interested in group theory and genralizations
Torus Actions on Symplectic Manifolds
Author: Michèle Audin
Publisher: Birkhäuser
ISBN: 3034879601
Category : Mathematics
Languages : en
Pages : 331
Book Description
The material and references in this extended second edition of "The Topology of Torus Actions on Symplectic Manifolds", published as Volume 93 in this series in 1991, have been updated. Symplectic manifolds and torus actions are investigated, with numerous examples of torus actions, for instance on some moduli spaces. Although the book is still centered on convexity results, it contains much more material, in particular lots of new examples and exercises.
Publisher: Birkhäuser
ISBN: 3034879601
Category : Mathematics
Languages : en
Pages : 331
Book Description
The material and references in this extended second edition of "The Topology of Torus Actions on Symplectic Manifolds", published as Volume 93 in this series in 1991, have been updated. Symplectic manifolds and torus actions are investigated, with numerous examples of torus actions, for instance on some moduli spaces. Although the book is still centered on convexity results, it contains much more material, in particular lots of new examples and exercises.
A Geometric Setting for Hamiltonian Perturbation Theory
Author: Anthony D. Blaom
Publisher: American Mathematical Soc.
ISBN: 0821827200
Category : Mathematics
Languages : en
Pages : 137
Book Description
In this text, the perturbation theory of non-commutatively integrable systems is revisited from the point of view of non-Abelian symmetry groups. Using a co-ordinate system intrinsic to the geometry of the symmetry, the book generalizes and geometrizes well-known estimates of Nekhoroshev (1977), in a class of systems having almost $G$-invariant Hamiltonians. These estimates are shown to have a natural interpretation in terms of momentum maps and co-adjoint orbits. The geometric framework adopted is described explicitly in examples, including the Euler-Poinsot rigid body.
Publisher: American Mathematical Soc.
ISBN: 0821827200
Category : Mathematics
Languages : en
Pages : 137
Book Description
In this text, the perturbation theory of non-commutatively integrable systems is revisited from the point of view of non-Abelian symmetry groups. Using a co-ordinate system intrinsic to the geometry of the symmetry, the book generalizes and geometrizes well-known estimates of Nekhoroshev (1977), in a class of systems having almost $G$-invariant Hamiltonians. These estimates are shown to have a natural interpretation in terms of momentum maps and co-adjoint orbits. The geometric framework adopted is described explicitly in examples, including the Euler-Poinsot rigid body.
Renormalized Self-Intersection Local Times and Wick Power Chaos Processes
Author: Michael B. Marcus
Publisher: American Mathematical Soc.
ISBN: 0821813404
Category : Mathematics
Languages : en
Pages : 138
Book Description
Sufficient conditions are obtained for the continuity of renormalized self-intersection local times for the multiple intersections of a large class of strongly symmetric L vy processes in $R DEGREESm$, $m=1,2$. In $R DEGREES2$ these include Brownian motion and stable processes of index greater than 3/2, as well as many processes in their domains of attraction. In $R DEGREES1$ these include stable processes of index $3/4
Publisher: American Mathematical Soc.
ISBN: 0821813404
Category : Mathematics
Languages : en
Pages : 138
Book Description
Sufficient conditions are obtained for the continuity of renormalized self-intersection local times for the multiple intersections of a large class of strongly symmetric L vy processes in $R DEGREESm$, $m=1,2$. In $R DEGREES2$ these include Brownian motion and stable processes of index greater than 3/2, as well as many processes in their domains of attraction. In $R DEGREES1$ these include stable processes of index $3/4
Squared Hopf Algebras
Author: Volodymyr V. Lyubashenko
Publisher: American Mathematical Soc.
ISBN: 0821813617
Category : Mathematics
Languages : en
Pages : 197
Book Description
This book is intended for graduate students and research mathematicians interested in associative rings and algebras.
Publisher: American Mathematical Soc.
ISBN: 0821813617
Category : Mathematics
Languages : en
Pages : 197
Book Description
This book is intended for graduate students and research mathematicians interested in associative rings and algebras.
Equivariant $E$-Theory for $C^*$-Algebras
Author: Erik Guentner
Publisher: American Mathematical Soc.
ISBN: 0821821164
Category : Mathematics
Languages : en
Pages : 101
Book Description
This title examines the equivariant e-theory for c*-algebra, focusing on research carried out by Higson and Kasparov. Let A and B be C*-algebras which are equipped with continuous actions of a second countable, locally compact group G. We define a notion of equivariant asymptotic morphism, and use it to define equivariant E-theory groups EULG(A, B) which generalize the E-theory groups of Connes and Higson. We develop the basic properties of equivariant E-theory, including a composition product and six-term exact sequences in both variables, and apply our theory to the problem of calculating K-theory for group C*-algebras. Our main theorem gives a simple criterion for the assembly map of Baum and Connes to be an isomorphism. The result plays an important role in the work of Higson and Kasparov on the Bau m-Connes conjecture for groups which act isometrically and metrically properly on Hilbert space
Publisher: American Mathematical Soc.
ISBN: 0821821164
Category : Mathematics
Languages : en
Pages : 101
Book Description
This title examines the equivariant e-theory for c*-algebra, focusing on research carried out by Higson and Kasparov. Let A and B be C*-algebras which are equipped with continuous actions of a second countable, locally compact group G. We define a notion of equivariant asymptotic morphism, and use it to define equivariant E-theory groups EULG(A, B) which generalize the E-theory groups of Connes and Higson. We develop the basic properties of equivariant E-theory, including a composition product and six-term exact sequences in both variables, and apply our theory to the problem of calculating K-theory for group C*-algebras. Our main theorem gives a simple criterion for the assembly map of Baum and Connes to be an isomorphism. The result plays an important role in the work of Higson and Kasparov on the Bau m-Connes conjecture for groups which act isometrically and metrically properly on Hilbert space
Asymptotics for Solutions of Linear Differential Equations Having Turning Points with Applications
Author: Shlomo Strelitz
Publisher: American Mathematical Soc.
ISBN: 0821813528
Category : Mathematics
Languages : en
Pages : 105
Book Description
Asymptotics are built for the solutions $y_j(x, \lambda)$, $y_j DEGREES{(k)}(0, \lambda)=\delta_{j\, n-k}$, $0\le j, k+1\le n$ of the equation $L(y)=\lambda p(x)y, \quad x\in [0,1], $ where $L(y)$ is a linear differential operator of whatever order $n\ge 2$ and $p(x)$ is assumed to possess a finite number of turning points. The established asymptotics are afterwards applied to the study of: 1) the existence of infinite eigenvalue sequences for various multipoint boundary problems posed on $L(y)=\lambda p(x)y, \quad x\in [0,1], $, especially as $n=2$ and $n=3$ (let us be aware that the same method can be successfully applied on many occasions in case $n>3$ too) and 2) asymptotical distribution of the corresponding eigenvalue sequences on the
Publisher: American Mathematical Soc.
ISBN: 0821813528
Category : Mathematics
Languages : en
Pages : 105
Book Description
Asymptotics are built for the solutions $y_j(x, \lambda)$, $y_j DEGREES{(k)}(0, \lambda)=\delta_{j\, n-k}$, $0\le j, k+1\le n$ of the equation $L(y)=\lambda p(x)y, \quad x\in [0,1], $ where $L(y)$ is a linear differential operator of whatever order $n\ge 2$ and $p(x)$ is assumed to possess a finite number of turning points. The established asymptotics are afterwards applied to the study of: 1) the existence of infinite eigenvalue sequences for various multipoint boundary problems posed on $L(y)=\lambda p(x)y, \quad x\in [0,1], $, especially as $n=2$ and $n=3$ (let us be aware that the same method can be successfully applied on many occasions in case $n>3$ too) and 2) asymptotical distribution of the corresponding eigenvalue sequences on the