Topological Classification Of Families Of Diffeomorphisms Without Small Divisors


Topological Classification Of Families Of Diffeomorphisms Without Small Divisors
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Topological Classification Of Families Of Diffeomorphisms Without Small Divisors


Topological Classification Of Families Of Diffeomorphisms Without Small Divisors
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Author : Javier Ribón
language : en
Publisher: American Mathematical Soc.
Release Date : 2010

Topological Classification Of Families Of Diffeomorphisms Without Small Divisors written by Javier Ribón 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 2010 with Mathematics categories.


The author gives a complete topological classification for germs of one-parameter families of one-dimensional complex analytic diffeomorphisms without small divisors. In the non-trivial cases the topological invariants are given by some functions attached to the fixed points set plus the analytic class of the element of the family corresponding to the special parameter. The proof is based on the structure of the limits of orbits when we approach the special parameter.



Classification Of Radial Solutions Arising In The Study Of Thermal Structures With Thermal Equilibrium Or No Flux At The Boundary


Classification Of Radial Solutions Arising In The Study Of Thermal Structures With Thermal Equilibrium Or No Flux At The Boundary
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Author : Alfonso Castro
language : en
Publisher: American Mathematical Soc.
Release Date : 2010

Classification Of Radial Solutions Arising In The Study Of Thermal Structures With Thermal Equilibrium Or No Flux At The Boundary written by Alfonso Castro 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 2010 with Mathematics categories.


The authors provide a complete classification of the radial solutions to a class of reaction diffusion equations arising in the study of thermal structures such as plasmas with thermal equilibrium or no flux at the boundary. In particular, their study includes rapidly growing nonlinearities, that is, those where an exponent exceeds the critical exponent. They describe the corresponding bifurcation diagrams and determine existence and uniqueness of ground states, which play a central role in characterizing those diagrams. They also provide information on the stability-unstability of the radial steady states.



The Internally 4 Connected Binary Matroids With No M K 3 3 Minor


The Internally 4 Connected Binary Matroids With No M K 3 3 Minor
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Author : Dillon Mayhew
language : en
Publisher: American Mathematical Soc.
Release Date : 2010

The Internally 4 Connected Binary Matroids With No M K 3 3 Minor written by Dillon Mayhew 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 2010 with Mathematics categories.


The authors give a characterization of the internally $4$-connected binary matroids that have no minor isomorphic to $M(K_{3,3})$. Any such matroid is either cographic, or is isomorphic to a particular single-element extension of the bond matroid of a cubic or quartic Mobius ladder, or is isomorphic to one of eighteen sporadic matroids.



Robin Functions For Complex Manifolds And Applications


Robin Functions For Complex Manifolds And Applications
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Author : Kang-Tae Kim
language : en
Publisher: American Mathematical Soc.
Release Date : 2011

Robin Functions For Complex Manifolds And Applications written by Kang-Tae Kim 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 2011 with Mathematics categories.


"Volume 209, number 984 (third of 5 numbers)."



Second Order Analysis On Mathscr P 2 M W 2


Second Order Analysis On Mathscr P 2 M W 2
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Author : Nicola Gigli
language : en
Publisher: American Mathematical Soc.
Release Date : 2012-02-22

Second Order Analysis On Mathscr P 2 M W 2 written by Nicola Gigli 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 2012-02-22 with Mathematics categories.


The author develops a rigorous second order analysis on the space of probability measures on a Riemannian manifold endowed with the quadratic optimal transport distance $W_2$. The discussion includes: definition of covariant derivative, discussion of the problem of existence of parallel transport, calculus of the Riemannian curvature tensor, differentiability of the exponential map and existence of Jacobi fields. This approach does not require any smoothness assumption on the measures considered.



On L Packets For Inner Forms Of Sl N


On L Packets For Inner Forms Of Sl N
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Author : Kaoru Hiraga
language : en
Publisher: American Mathematical Soc.
Release Date : 2012

On L Packets For Inner Forms Of Sl N written by Kaoru Hiraga 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 2012 with Mathematics categories.


The theory of $L$-indistinguishability for inner forms of $SL_2$ has been established in the well-known paper of Labesse and Langlands (L-indistinguishability forSL$(2)$. Canad. J. Math. 31 (1979), no. 4, 726-785). In this memoir, the authors study $L$-indistinguishability for inner forms of $SL_n$ for general $n$. Following the idea of Vogan in (The local Langlands conjecture. Representation theory of groups and algebras, 305-379, Contemp. Math. 145 (1993)), they modify the $S$-group and show that such an $S$-group fits well in the theory of endoscopy for inner forms of $SL_n$.



Resistance Forms Quasisymmetric Maps And Heat Kernel Estimates


Resistance Forms Quasisymmetric Maps And Heat Kernel Estimates
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Author : Jun Kigami
language : en
Publisher: American Mathematical Soc.
Release Date : 2012-02-22

Resistance Forms Quasisymmetric Maps And Heat Kernel Estimates written by Jun Kigami 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 2012-02-22 with Mathematics categories.


Assume that there is some analytic structure, a differential equation or a stochastic process for example, on a metric space. To describe asymptotic behaviors of analytic objects, the original metric of the space may not be the best one. Every now and then one can construct a better metric which is somehow ``intrinsic'' with respect to the analytic structure and under which asymptotic behaviors of the analytic objects have nice expressions. The problem is when and how one can find such a metric. In this paper, the author considers the above problem in the case of stochastic processes associated with Dirichlet forms derived from resistance forms. The author's main concerns are the following two problems: (I) When and how to find a metric which is suitable for describing asymptotic behaviors of the heat kernels associated with such processes. (II) What kind of requirement for jumps of a process is necessary to ensure good asymptotic behaviors of the heat kernels associated with such processes.



The Moduli Space Of Cubic Threefolds As A Ball Quotient


The Moduli Space Of Cubic Threefolds As A Ball Quotient
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Author : Daniel Allcock
language : en
Publisher: American Mathematical Soc.
Release Date : 2011

The Moduli Space Of Cubic Threefolds As A Ball Quotient written by Daniel Allcock 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 2011 with Mathematics categories.


"Volume 209, number 985 (fourth of 5 numbers)."



Chevalley Supergroups


Chevalley Supergroups
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Author : Rita Fioresi
language : en
Publisher: American Mathematical Soc.
Release Date : 2012

Chevalley Supergroups written by Rita Fioresi 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 2012 with Mathematics categories.


In the framework of algebraic supergeometry, the authors give a construction of the scheme-theoretic supergeometric analogue of split reductive algebraic group-schemes, namely affine algebraic supergroups associated to simple Lie superalgebras of classical type. In particular, all Lie superalgebras of both basic and strange types are considered. This provides a unified approach to most of the algebraic supergroups considered so far in the literature, and an effective method to construct new ones. The authors' method follows the pattern of a suitable scheme-theoretic revisitation of Chevalley's construction of semisimple algebraic groups, adapted to the reductive case. As an intermediate step, they prove an existence theorem for Chevalley bases of simple classical Lie superalgebras and a PBW-like theorem for their associated Kostant superalgebras.



Weighted Shifts On Directed Trees


Weighted Shifts On Directed Trees
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Author : Zenon Jan Jablónski
language : en
Publisher: American Mathematical Soc.
Release Date : 2012

Weighted Shifts On Directed Trees written by Zenon Jan Jablónski 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 2012 with Mathematics categories.


A new class of (not necessarily bounded) operators related to (mainly infinite) directed trees is introduced and investigated. Operators in question are to be considered as a generalization of classical weighted shifts, on the one hand, and of weighted adjacency operators, on the other; they are called weighted shifts on directed trees. The basic properties of such operators, including closedness, adjoints, polar decomposition and moduli are studied. Circularity and the Fredholmness of weighted shifts on directed trees are discussed. The relationships between domains of a weighted shift on a directed tree and its adjoint are described. Hyponormality, cohyponormality, subnormality and complete hyperexpansivity of such operators are entirely characterized in terms of their weights. Related questions that arose during the study of the topic are solved as well.