Short Time Geometry Of Random Heat Kernels

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Short Time Geometry Of Random Heat Kernels

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Author : Richard Bucher Sowers
language : en
Publisher: American Mathematical Soc.
Release Date : 1998

Short Time Geometry Of Random Heat Kernels written by Richard Bucher Sowers 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 1998 with Mathematics categories.

This volume studies the behaviour of a random heat kernel associated with a stochastic partial differential equation, and gives short-time expansion of this heat kernel. The author finds that the dominant exponential term is classical and depends only on the Riemannian distance function. The second exponential term is a work term and also has classical meaning. There is also a third non-negligible exponential term which blows up. The author finds an expression for this third exponential term which involves a random translation of the index form and the equations of Jacobi fields. In the process, he develops a method to approximate the heat kernel to any arbitrary degree of precision.

Short Time Geometry Of Random Heat Kernels

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Author : Richard Bucher Sowers
language : en
Publisher: Oxford University Press, USA
Release Date : 2014-09-11

Short Time Geometry Of Random Heat Kernels written by Richard Bucher Sowers and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-11 with Filters categories.

This volume studies the behaviour of a random heat kernel associated with a stochastic partial differential equation, and gives short-time expansion of this heat kernel. The author finds that the dominant exponential term is classical and depends only on the Riemannian distance function. The second exponential term is a work term and also has classical meaning. There is also a third non-negligible exponential term which blows up. The author finds an expression for this third exponential term which involves a random translation of the index form and the equations of Jacobi fields. In the process, he develops a method to approximate the heat kernel to any arbitrary degree of precision.

Cyclic Feedback Systems

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Author : Tomáš Gedeon
language : en
Publisher: American Mathematical Soc.
Release Date : 1998

Cyclic Feedback Systems written by Tomáš Gedeon 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 1998 with Mathematics categories.

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

Algebro Geometric Quasi Periodic Finite Gap Solutions Of The Toda And Kac Van Moerbeke Hierarchies

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Author : Wolfgang Bulla
language : en
Publisher: American Mathematical Soc.
Release Date : 1998

Algebro Geometric Quasi Periodic Finite Gap Solutions Of The Toda And Kac Van Moerbeke Hierarchies written by Wolfgang Bulla 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 1998 with Mathematics categories.

In this work, the authors provide a self-contained discussion of all real-valued quasi-periodic finite-gap solutions of the Toda and Kac-van Moerbeke hierarchies of completely integrable evolution equations. The approach utilizes algebro-geometric methods, factorization techniques for finite difference expressions, as well as Miura-type transformations. Detailed spectral theoretic properties of Lax pairs and theta function representations of the solutions are derived. Features: Simple and unified treatment of the topic. Self-contained development. Novel results for the Kac-van Moerbeke hierarchy and its algebro-geometric solutions.

Rational Curves On Quasi Projective Surfaces

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Author : Seán Keel
language : en
Publisher: American Mathematical Soc.
Release Date : 1999

Rational Curves On Quasi Projective Surfaces written by Seán Keel 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 1999 with Mathematics categories.

This book is intended for graduate students and research mathematicians working in algebraic geometry

Asymptotics For Solutions Of Linear Differential Equations Having Turning Points With Applications

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Author : Shlomo Strelitz
language : en
Publisher: American Mathematical Soc.
Release Date : 1999

Asymptotics For Solutions Of Linear Differential Equations Having Turning Points With Applications written by Shlomo Strelitz 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 1999 with Mathematics categories.

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

Treelike Structures Arising From Continua And Convergence Groups

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Author : Brian Hayward Bowditch
language : en
Publisher: American Mathematical Soc.
Release Date : 1999

Treelike Structures Arising From Continua And Convergence Groups written by Brian Hayward Bowditch 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 1999 with Mathematics categories.

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

Nonlinear Eigenvalues And Analytic Hypoellipticity

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Author : Ching-Chau Yu
language : en
Publisher: American Mathematical Soc.
Release Date : 1998

Nonlinear Eigenvalues And Analytic Hypoellipticity written by Ching-Chau Yu 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 1998 with Mathematics categories.

Explores the failure of analytic-hypoellipticity of two partial differential operators. The operators are sums of squares of real analytic vector fields and satisfy Hormander's condition. By reducing to an ordinary differential operator, the author shows the existence of non-linear eigenvalues, which is used to disprove analytic- hypoellipticity of the original operators. No index. Annotation copyrighted by Book News, Inc., Portland, OR

Wandering Vectors For Unitary Systems And Orthogonal Wavelets

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Author : Xingde Dai
language : en
Publisher: American Mathematical Soc.
Release Date : 1998

Wandering Vectors For Unitary Systems And Orthogonal Wavelets written by Xingde Dai 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 1998 with Mathematics categories.

Investigates topological and structural properties of the set W(U) of all complete wandering vectors for a system U of unitary operators acting on a Hilbert space. The authors parameterize W(U) in terms of a fixed vector y and the set of all unitary operators which locally commute with U at y. No index. Annotation copyrighted by Book News, Inc., Portland, OR

Realization Of Vector Fields And Dynamics Of Spatially Homogeneous Parabolic Equations

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Author : Edward Norman Dancer
language : en
Publisher: American Mathematical Soc.
Release Date : 1999

Realization Of Vector Fields And Dynamics Of Spatially Homogeneous Parabolic Equations written by Edward Norman Dancer 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 1999 with Mathematics categories.

This book is intended for graduate students and research mathematicians working in partial differential equations.