On Stability and Endoscopic Transfer of Unipotent Orbital Integrals on $p$-adic Symplectic Groups

On Stability and Endoscopic Transfer of Unipotent Orbital Integrals on $p$-adic Symplectic Groups PDF Author: Magdy Assem
Publisher: American Mathematical Soc.
ISBN: 082180765X
Category : Mathematics
Languages : en
Pages : 119

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Book Description
The invariant integrals of spherical functions over certain infinite families of unipotent orbits in symplectic groups over a p-adic field of characteristic zero are explicitly calculated. The results are then put into a conjectural framework that predicts for split classical groups which linear combinations of unipotent orbital integrals are stable distributions. No index. Annotation copyrighted by Book News, Inc., Portland, OR

On Stability and Endoscopic Transfer of Unipotent Orbital Integrals on $p$-adic Symplectic Groups

On Stability and Endoscopic Transfer of Unipotent Orbital Integrals on $p$-adic Symplectic Groups PDF Author: Magdy Assem
Publisher: American Mathematical Soc.
ISBN: 082180765X
Category : Mathematics
Languages : en
Pages : 119

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Book Description
The invariant integrals of spherical functions over certain infinite families of unipotent orbits in symplectic groups over a p-adic field of characteristic zero are explicitly calculated. The results are then put into a conjectural framework that predicts for split classical groups which linear combinations of unipotent orbital integrals are stable distributions. No index. Annotation copyrighted by Book News, Inc., Portland, OR

Existence of the Sectional Capacity

Existence of the Sectional Capacity PDF Author: Robert Rumely
Publisher: American Mathematical Soc.
ISBN: 0821820583
Category : Mathematics
Languages : en
Pages : 145

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Book Description
In the case where the norms are induced by metrics on the fibres of ${\mathcal L}$, we establish the functoriality of the sectional capacity under base change, pullbacks by finite surjective morphisms, and products. We study the continuity of $S Gamma(\overline{\mathcal L})$ under variation of the metric and line bundle, and we apply this to show that the notion of $v$-adic sets in $X(\mathbb C v)$ of capacity $0$ is well-defined. Finally, we show that sectional capacities for arbitrary norms can be well-approximated using objects of finite type.

Generalizations of the Perron-Frobenius Theorem for Nonlinear Maps

Generalizations of the Perron-Frobenius Theorem for Nonlinear Maps PDF Author: Roger D. Nussbaum
Publisher: American Mathematical Soc.
ISBN: 0821809695
Category : Mathematics
Languages : en
Pages : 113

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Book Description
The classical Frobenius-Perron Theorem establishes the existence of periodic points of certain linear maps in ${\mathbb R} DEGREESn$. The authors present generalizations of this theorem to nonlinea

Inverse Invariant Theory and Steenrod Operations

Inverse Invariant Theory and Steenrod Operations PDF Author: Mara D. Neusel
Publisher: American Mathematical Soc.
ISBN: 0821820915
Category : Mathematics
Languages : en
Pages : 175

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Book Description
This book is intended for researchers and graduate students in commutative algebra, algebraic topology and invariant theory.

Control and Relaxation over the Circle

Control and Relaxation over the Circle PDF Author: Bruce Hughes
Publisher: American Mathematical Soc.
ISBN: 0821820699
Category : Mathematics
Languages : en
Pages : 113

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Book Description
This work formulates and proves a geometric version of the fundamental theorem of algebraic K-theory which relates the K-theory of the Laurent polynomial extension of a ring to the K-theory of the ring. The geometric version relates the higher simple homotopy theory of the product of a finite complex and a circle with that of the complex. By using methods of controlled topology, we also obtain a geometric version of the fundamental theorem of lower algebraic K-theory. The main new innovation is a geometrically defined nil space.

Morava $K$-Theories and Localisation

Morava $K$-Theories and Localisation PDF Author: Mark Hovey
Publisher: American Mathematical Soc.
ISBN: 0821810790
Category : Mathematics
Languages : en
Pages : 114

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Book Description
This book is intended for graduate students and research mathematicians working in group theory and generalizations.

Simplicial Dynamical Systems

Simplicial Dynamical Systems PDF Author: Ethan Akin
Publisher: American Mathematical Soc.
ISBN: 0821813838
Category : Mathematics
Languages : en
Pages : 215

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Book Description
A simplicial dynamical system is a simplicial map $g: K DEGREES* \rightarrow K$ where $K$ is a finite simplicial complex triangulating a compact polyhedron $X$ and $K DEGREES*$ is a proper subdivision of $K$, for example, the barycentric or any further subdivision. the dynamics of the asociated piecewise linear map $g: X X$ can be analyzed by using certain naturally related subshifts of finite type. Any continous map on $X$ can be $C DEGREES0$ approximated by such systems. Other examples yield interesting

Limit Theorems for Functionals of Ergodic Markov Chains with General State Space

Limit Theorems for Functionals of Ergodic Markov Chains with General State Space PDF Author: Xia Chen
Publisher: American Mathematical Soc.
ISBN: 082181060X
Category : Mathematics
Languages : en
Pages : 225

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Book Description
This book is intended for graduate students and research mathematicians working probability theory and statistics.

The Defect Relation of Meromorphic Maps on Parabolic Manifolds

The Defect Relation of Meromorphic Maps on Parabolic Manifolds PDF Author: George Lawrence Ashline
Publisher: American Mathematical Soc.
ISBN: 0821810693
Category : Mathematics
Languages : en
Pages : 95

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Book Description
This book is intended for graduate students and research mathematicians working in several complex variables and analytic spaces.

Cyclic Feedback Systems

Cyclic Feedback Systems PDF Author: Tomáš Gedeon
Publisher: American Mathematical Soc.
ISBN: 0821807838
Category : Mathematics
Languages : en
Pages : 89

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Book Description
Explores the global dynamics of a class of ordinary differential equations called cyclic feedback systems. The global dynamics is described by a Morse decomposition of the global attractor, defined with the help of a discrete Lyapunov function. A three-dimensional system of ODE's with two linear equations is constructed, such that the invariant set is at least as complicated as a suspension of a full shift on two symbols. No index. Annotation copyrighted by Book News, Inc., Portland, OR