The Heat Kernel Weighted Hodge Laplacian On Noncompact Manifolds
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The Heat Kernel Weighted Hodge Laplacian On Noncompact Manifolds
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Author : Edward Lee Bueler
language : en
Publisher:
Release Date : 1997
The Heat Kernel Weighted Hodge Laplacian On Noncompact Manifolds written by Edward Lee Bueler and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with categories.
Heat Kernel And Analysis On Manifolds
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Author : Alexander Grigor'yan
language : en
Publisher: American Mathematical Soc.
Release Date : 2009
Heat Kernel And Analysis On Manifolds written by Alexander Grigor'yan 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 2009 with Gaussian processes categories.
The heat kernel has long been an essential tool in both classical and modern mathematics but has become especially important in geometric analysis as a result of major innovations beginning in the 1970s. The methods based on heat kernels have been used in areas as diverse as analysis, geometry, and probability, as well as in physics. This book is a comprehensive introduction to heat kernel techniques in the setting of Riemannian manifolds, which inevitably involves analysis of the Laplace-Beltrami operator and the associated heat equation. The first ten chapters cover the foundations of the subject, while later chapters deal with more advanced results involving the heat kernel in a variety of settings. The exposition starts with an elementary introduction to Riemannian geometry, proceeds with a thorough study of the spectral-theoretic, Markovian, and smoothness properties of the Laplace and heat equations on Riemannian manifolds, and concludes with Gaussian estimates of heat kernels. Grigor'yan has written this book with the student in mind, in particular by including over 400 exercises. The text will serve as a bridge between basic results and current research.Titles in this series are co-published with International Press, Cambridge, MA, USA.
Eigenvalue And Heat Kernel Estimates For The Weighted Laplacian On A Riemannian Manifold
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Author : Alberto G. Setti
language : en
Publisher:
Release Date : 1991
Eigenvalue And Heat Kernel Estimates For The Weighted Laplacian On A Riemannian Manifold written by Alberto G. Setti and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with categories.
On The Lp Spectrum Of The Hodge Laplacian And Logarithmic Sobolev Inequalities On Non Compact Manifolds
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Author : Nelia Sofocli Charalambous
language : en
Publisher:
Release Date : 2004
On The Lp Spectrum Of The Hodge Laplacian And Logarithmic Sobolev Inequalities On Non Compact Manifolds written by Nelia Sofocli Charalambous and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with categories.
From Geometry To Quantum Mechanics
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Author : Yoshiaki Maeda
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-04-22
From Geometry To Quantum Mechanics written by Yoshiaki Maeda and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-04-22 with Mathematics categories.
* Invited articles in differential geometry and mathematical physics in honor of Hideki Omori * Focus on recent trends and future directions in symplectic and Poisson geometry, global analysis, Lie group theory, quantizations and noncommutative geometry, as well as applications of PDEs and variational methods to geometry * Will appeal to graduate students in mathematics and quantum mechanics; also a reference
Finite And Infinite Dimensional Analysis In Honor Of Leonard Gross
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Author : Hui-Hsiung Kuo
language : en
Publisher: American Mathematical Soc.
Release Date : 2003
Finite And Infinite Dimensional Analysis In Honor Of Leonard Gross written by Hui-Hsiung Kuo 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 2003 with Mathematics categories.
This book contains the proceedings of the special session in honor of Leonard Gross held at the annual Joint Mathematics Meetings in New Orleans (LA). The speakers were specialists in a variety of fields, and many were Professor Gross's former Ph.D. students and their descendants. Papers in this volume present results from several areas of mathematics. They illustrate applications of powerful ideas that originated in Gross's work and permeate diverse fields. Topics include stochastic partial differential equations, white noise analysis, Brownian motion, Segal-Bargmann analysis, heat kernels, and some applications. The volume should be useful to graduate students and researchers. It provides perspective on current activity and on central ideas and techniques in the topics covered.
Recent Advances In Data Science
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Author : Henry Han
language : en
Publisher: Springer Nature
Release Date : 2020-09-28
Recent Advances In Data Science written by Henry Han and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-28 with Computers categories.
This book constitutes selected papers of the Third International Conference on Data Science, Medicine and Bioinformatics, IDMB 2019, held in Nanning, China, in June 2019. The 19 full papers and 1 short paper were carefully reviewed and selected from 93 submissions. The papers are organized according to the following topical sections: business data science: fintech, management, and analytics.- health and biological data science.- novel data science theory and applications.
A Perspective On Canonical Riemannian Metrics
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Author : Giovanni Catino
language : en
Publisher: Springer Nature
Release Date : 2020-10-23
A Perspective On Canonical Riemannian Metrics written by Giovanni Catino and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-23 with Mathematics categories.
This book focuses on a selection of special topics, with emphasis on past and present research of the authors on “canonical” Riemannian metrics on smooth manifolds. On the backdrop of the fundamental contributions given by many experts in the field, the volume offers a self-contained view of the wide class of “Curvature Conditions” and “Critical Metrics” of suitable Riemannian functionals. The authors describe the classical examples and the relevant generalizations. This monograph is the winner of the 2020 Ferran Sunyer i Balaguer Prize, a prestigious award for books of expository nature presenting the latest developments in an active area of research in mathematics.
Abstracts Of Papers Presented To The American Mathematical Society
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Author : American Mathematical Society
language : en
Publisher:
Release Date : 1997
Abstracts Of Papers Presented To The American Mathematical Society written by American Mathematical Society and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.
Resolvent Heat Kernel And Torsion Under Degeneration To Fibered Cusps
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Author : Pierre Albin
language : en
Publisher: American Mathematical Soc.
Release Date : 2021-06-21
Resolvent Heat Kernel And Torsion Under Degeneration To Fibered Cusps written by Pierre Albin 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 2021-06-21 with Education categories.
Manifolds with fibered cusps are a class of complete non-compact Riemannian manifolds including many examples of locally symmetric spaces of rank one. We study the spectrum of the Hodge Laplacian with coefficients in a flat bundle on a closed manifold undergoing degeneration to a manifold with fibered cusps. We obtain precise asymptotics for the resolvent, the heat kernel, and the determinant of the Laplacian. Using these asymptotics we obtain a topological description of the analytic torsion on a manifold with fibered cusps in terms of the R-torsion of the underlying manifold with boundary.