Analysis And Geometry

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Analysis and Geometry of Markov Diffusion Operators

Dominique Bakry,Ivan Gentil,Michel Ledoux
Analysis and Geometry of Markov Diffusion Operators Book PDF

Author : Dominique Bakry,Ivan Gentil,Michel Ledoux
Publisher : Springer Science & Business Media
Page : 555 pages
File Size : 49,5 Mb
Release : 2013-11-18
Category : Mathematics
ISBN : 9783319002279

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Analysis and Geometry of Markov Diffusion Operators by Dominique Bakry,Ivan Gentil,Michel Ledoux Pdf

The present volume is an extensive monograph on the analytic and geometric aspects of Markov diffusion operators. It focuses on the geometric curvature properties of the underlying structure in order to study convergence to equilibrium, spectral bounds, functional inequalities such as Poincaré, Sobolev or logarithmic Sobolev inequalities, and various bounds on solutions of evolution equations. At the same time, it covers a large class of evolution and partial differential equations. The book is intended to serve as an introduction to the subject and to be accessible for beginning and advanced scientists and non-specialists. Simultaneously, it covers a wide range of results and techniques from the early developments in the mid-eighties to the latest achievements. As such, students and researchers interested in the modern aspects of Markov diffusion operators and semigroups and their connections to analytic functional inequalities, probabilistic convergence to equilibrium and geometric curvature will find it especially useful. Selected chapters can also be used for advanced courses on the topic.

Analysis and Geometry on Graphs and Manifolds

Matthias Keller,Daniel Lenz,Radoslaw K. Wojciechowski
Analysis and Geometry on Graphs and Manifolds Book PDF

Author : Matthias Keller,Daniel Lenz,Radoslaw K. Wojciechowski
Publisher : Cambridge University Press
Page : 493 pages
File Size : 45,6 Mb
Release : 2020-08-20
Category : Mathematics
ISBN : 9781108713184

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Analysis and Geometry on Graphs and Manifolds by Matthias Keller,Daniel Lenz,Radoslaw K. Wojciechowski Pdf

A contemporary exploration of the interplay between geometry, spectral theory and stochastics which is explored for graphs and manifolds.

Analysis, Geometry, and Modeling in Finance

Pierre Henry-Labordere
Analysis Geometry and Modeling in Finance Book PDF

Author : Pierre Henry-Labordere
Publisher : CRC Press
Page : 403 pages
File Size : 46,6 Mb
Release : 2008-09-22
Category : Business & Economics
ISBN : 9781420087000

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Analysis, Geometry, and Modeling in Finance by Pierre Henry-Labordere Pdf

Analysis, Geometry, and Modeling in Finance: Advanced Methods in Option Pricing is the first book that applies advanced analytical and geometrical methods used in physics and mathematics to the financial field. It even obtains new results when only approximate and partial solutions were previously available.Through the problem of option pricing, th

Perspectives in Analysis, Geometry, and Topology

Ilia Itenberg,Burglind Jöricke,Mikael Passare
Perspectives in Analysis Geometry and Topology Book PDF

Author : Ilia Itenberg,Burglind Jöricke,Mikael Passare
Publisher : Springer Science & Business Media
Page : 483 pages
File Size : 46,9 Mb
Release : 2011-12-14
Category : Mathematics
ISBN : 9780817682774

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Perspectives in Analysis, Geometry, and Topology by Ilia Itenberg,Burglind Jöricke,Mikael Passare Pdf

The articles in this volume are invited papers from the Marcus Wallenberg symposium and focus on research topics that bridge the gap between analysis, geometry, and topology. The encounters between these three fields are widespread and often provide impetus for major breakthroughs in applications. Topics include new developments in low dimensional topology related to invariants of links and three and four manifolds; Perelman's spectacular proof of the Poincare conjecture; and the recent advances made in algebraic, complex, symplectic, and tropical geometry.

Analysis and Geometry on Groups

Nicholas T. Varopoulos,L. Saloff-Coste,T. Coulhon
Analysis and Geometry on Groups Book PDF

Author : Nicholas T. Varopoulos,L. Saloff-Coste,T. Coulhon
Publisher : Cambridge University Press
Page : 172 pages
File Size : 54,7 Mb
Release : 1993-01-07
Category : Mathematics
ISBN : 0521353823

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Analysis and Geometry on Groups by Nicholas T. Varopoulos,L. Saloff-Coste,T. Coulhon Pdf

The geometry and analysis that is discussed in this book extends to classical results for general discrete or Lie groups, and the methods used are analytical, but are not concerned with what is described these days as real analysis. Most of the results described in this book have a dual formulation: they have a "discrete version" related to a finitely generated discrete group and a continuous version related to a Lie group. The authors chose to center this book around Lie groups, but could easily have pushed it in several other directions as it interacts with the theory of second order partial differential operators, and probability theory, as well as with group theory.

New Trends on Analysis and Geometry in Metric Spaces

Fabrice Baudoin,Séverine Rigot,Giuseppe Savaré,Nageswari Shanmugalingam
New Trends on Analysis and Geometry in Metric Spaces Book PDF

Author : Fabrice Baudoin,Séverine Rigot,Giuseppe Savaré,Nageswari Shanmugalingam
Publisher : Springer Nature
Page : 312 pages
File Size : 46,9 Mb
Release : 2022-02-04
Category : Mathematics
ISBN : 9783030841416

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New Trends on Analysis and Geometry in Metric Spaces by Fabrice Baudoin,Séverine Rigot,Giuseppe Savaré,Nageswari Shanmugalingam Pdf

This book includes four courses on geometric measure theory, the calculus of variations, partial differential equations, and differential geometry. Authored by leading experts in their fields, the lectures present different approaches to research topics with the common background of a relevant underlying, usually non-Riemannian, geometric structure. In particular, the topics covered concern differentiation and functions of bounded variation in metric spaces, Sobolev spaces, and differential geometry in the so-called Carnot–Carathéodory spaces. The text is based on lectures presented at the 10th School on "Analysis and Geometry in Metric Spaces" held in Levico Terme (TN), Italy, in collaboration with the University of Trento, Fondazione Bruno Kessler and CIME, Italy. The book is addressed to both graduate students and researchers.

An Introduction to Complex Analysis and Geometry

John P. D'Angelo
An Introduction to Complex Analysis and Geometry Book PDF

Author : John P. D'Angelo
Publisher : American Mathematical Soc.
Page : 177 pages
File Size : 43,8 Mb
Release : 2010
Category : Functions of complex variables
ISBN : 9780821852743

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An Introduction to Complex Analysis and Geometry by John P. D'Angelo Pdf

Provides the reader with a deep appreciation of complex analysis and how this subject fits into mathematics. The first four chapters provide an introduction to complex analysis with many elementary and unusual applications. Chapters 5 to 7 develop the Cauchy theory and include some striking applications to calculus. Chapter 8 glimpses several appealing topics, simultaneously unifying the book and opening the door to further study.

Differential Geometry and Analysis on CR Manifolds

Sorin Dragomir,Giuseppe Tomassini
Differential Geometry and Analysis on CR Manifolds Book PDF

Author : Sorin Dragomir,Giuseppe Tomassini
Publisher : Springer Science & Business Media
Page : 499 pages
File Size : 54,7 Mb
Release : 2007-06-10
Category : Mathematics
ISBN : 9780817644833

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Differential Geometry and Analysis on CR Manifolds by Sorin Dragomir,Giuseppe Tomassini Pdf

Presents many major differential geometric acheivements in the theory of CR manifolds for the first time in book form Explains how certain results from analysis are employed in CR geometry Many examples and explicitly worked-out proofs of main geometric results in the first section of the book making it suitable as a graduate main course or seminar textbook Provides unproved statements and comments inspiring further study

The Analysis and Geometry of Hardy's Inequality

Alexander A. Balinsky,W. Desmond Evans,Roger T. Lewis
The Analysis and Geometry of Hardy s Inequality Book PDF

Author : Alexander A. Balinsky,W. Desmond Evans,Roger T. Lewis
Publisher : Springer
Page : 263 pages
File Size : 53,8 Mb
Release : 2015-10-20
Category : Mathematics
ISBN : 9783319228709

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The Analysis and Geometry of Hardy's Inequality by Alexander A. Balinsky,W. Desmond Evans,Roger T. Lewis Pdf

This volume presents advances that have been made over recent decades in areas of research featuring Hardy's inequality and related topics. The inequality and its extensions and refinements are not only of intrinsic interest but are indispensable tools in many areas of mathematics and mathematical physics. Hardy inequalities on domains have a substantial role and this necessitates a detailed investigation of significant geometric properties of a domain and its boundary. Other topics covered in this volume are Hardy- Sobolev-Maz’ya inequalities; inequalities of Hardy-type involving magnetic fields; Hardy, Sobolev and Cwikel-Lieb-Rosenbljum inequalities for Pauli operators; the Rellich inequality. The Analysis and Geometry of Hardy’s Inequality provides an up-to-date account of research in areas of contemporary interest and would be suitable for a graduate course in mathematics or physics. A good basic knowledge of real and complex analysis is a prerequisite.

Geometry, Analysis and Probability

Jean-Benoît Bost,Helmut Hofer,François Labourie,Yves Le Jan,Xiaonan Ma,Weiping Zhang
Geometry Analysis and Probability Book PDF

Author : Jean-Benoît Bost,Helmut Hofer,François Labourie,Yves Le Jan,Xiaonan Ma,Weiping Zhang
Publisher : Birkhäuser
Page : 361 pages
File Size : 43,7 Mb
Release : 2017-04-26
Category : Mathematics
ISBN : 9783319496382

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Geometry, Analysis and Probability by Jean-Benoît Bost,Helmut Hofer,François Labourie,Yves Le Jan,Xiaonan Ma,Weiping Zhang Pdf

This volume presents original research articles and extended surveys related to the mathematical interest and work of Jean-Michel Bismut. His outstanding contributions to probability theory and global analysis on manifolds have had a profound impact on several branches of mathematics in the areas of control theory, mathematical physics and arithmetic geometry. Contributions by: K. Behrend N. Bergeron S. K. Donaldson J. Dubédat B. Duplantier G. Faltings E. Getzler G. Kings R. Mazzeo J. Millson C. Moeglin W. Müller R. Rhodes D. Rössler S. Sheffield A. Teleman G. Tian K-I. Yoshikawa H. Weiss W. Werner The collection is a valuable resource for graduate students and researchers in these fields.

Qα Analysis on Euclidean Spaces

Jie Xiao
Q Analysis on Euclidean Spaces Book PDF

Author : Jie Xiao
Publisher : Walter de Gruyter GmbH & Co KG
Page : 417 pages
File Size : 42,6 Mb
Release : 2019-03-18
Category : Mathematics
ISBN : 9783110600100

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Qα Analysis on Euclidean Spaces by Jie Xiao Pdf

The series is devoted to the publication of high-level monographs and specialized graduate texts which cover classical and modern analysis, partial differential equations with natural connections to geometry and the interplays between these fields and their applications to mathematical physics. Editor-in-Chief Jie Xiao, Memorial University, Canada Editorial Board Der-Chen Chang, Georgetown University, USA Goong Chen, Texas A&M University, USA Andrea Colesanti, University of Florence, Italy Robert McCann, University of Toronto, Canada De-Qi Zhang, National University of Singapore, Singapore Kehe Zhu, University at Albany, USA Please send any book proposals to Jie Xiao.

Complex Analysis and CR Geometry

Giuseppe Zampieri
Complex Analysis and CR Geometry Book PDF

Author : Giuseppe Zampieri
Publisher : American Mathematical Soc.
Page : 210 pages
File Size : 47,9 Mb
Release : 2008
Category : CR submanifolds
ISBN : 9780821844427

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Complex Analysis and CR Geometry by Giuseppe Zampieri Pdf

Cauchy-Riemann (CR) geometry is the study of manifolds equipped with a system of CR-type equations. Compared to the early days when the purpose of CR geometry was to supply tools for the analysis of the existence and regularity of solutions to the $\bar\partial$-Neumann problem, it has rapidly acquired a life of its own and has became an important topic in differential geometry and the study of non-linear partial differential equations. A full understanding of modern CR geometryrequires knowledge of various topics such as real/complex differential and symplectic geometry, foliation theory, the geometric theory of PDE's, and microlocal analysis. Nowadays, the subject of CR geometry is very rich in results, and the amount of material required to reach competence is daunting tograduate students who wish to learn it.

Number Theory, Analysis and Geometry

Dorian Goldfeld,Jay Jorgenson,Peter Jones,Dinakar Ramakrishnan,Kenneth Ribet,John Tate
Number Theory Analysis and Geometry Book PDF

Author : Dorian Goldfeld,Jay Jorgenson,Peter Jones,Dinakar Ramakrishnan,Kenneth Ribet,John Tate
Publisher : Springer Science & Business Media
Page : 715 pages
File Size : 51,7 Mb
Release : 2011-12-21
Category : Mathematics
ISBN : 9781461412601

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Number Theory, Analysis and Geometry by Dorian Goldfeld,Jay Jorgenson,Peter Jones,Dinakar Ramakrishnan,Kenneth Ribet,John Tate Pdf

Serge Lang was an iconic figure in mathematics, both for his own important work and for the indelible impact he left on the field of mathematics, on his students, and on his colleagues. Over the course of his career, Lang traversed a tremendous amount of mathematical ground. As he moved from subject to subject, he found analogies that led to important questions in such areas as number theory, arithmetic geometry, and the theory of negatively curved spaces. Lang's conjectures will keep many mathematicians occupied far into the future. In the spirit of Lang’s vast contribution to mathematics, this memorial volume contains articles by prominent mathematicians in a variety of areas of the field, namely Number Theory, Analysis, and Geometry, representing Lang’s own breadth of interest and impact. A special introduction by John Tate includes a brief and fascinating account of the Serge Lang’s life. This volume's group of 6 editors are also highly prominent mathematicians and were close to Serge Lang, both academically and personally. The volume is suitable to research mathematicians in the areas of Number Theory, Analysis, and Geometry.

Global Analysis

Ilka Agricola,Thomas Friedrich
Global Analysis Book PDF

Author : Ilka Agricola,Thomas Friedrich
Publisher : American Mathematical Soc.
Page : 362 pages
File Size : 52,9 Mb
Release : 2002
Category : Differential forms
ISBN : 9780821829516

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Global Analysis by Ilka Agricola,Thomas Friedrich Pdf

The final third of the book applies the mathematical ideas to important areas of physics: Hamiltonian mechanics, statistical mechanics, and electrodynamics." "There are many classroom-tested exercises and examples with excellent figures throughout. The book is ideal as a text for a first course in differential geometry, suitable for advanced undergraduates or graduate students in mathematics or physics."--BOOK JACKET.

Functional Analysis and Infinite-Dimensional Geometry

Marian Fabian,Petr Habala,Petr Hajek,Vicente Montesinos Santalucia,Jan Pelant,Vaclav Zizler
Functional Analysis and Infinite Dimensional Geometry Book PDF

Author : Marian Fabian,Petr Habala,Petr Hajek,Vicente Montesinos Santalucia,Jan Pelant,Vaclav Zizler
Publisher : Springer Science & Business Media
Page : 455 pages
File Size : 44,5 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9781475734805

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Functional Analysis and Infinite-Dimensional Geometry by Marian Fabian,Petr Habala,Petr Hajek,Vicente Montesinos Santalucia,Jan Pelant,Vaclav Zizler Pdf

This book introduces the basic principles of functional analysis and areas of Banach space theory that are close to nonlinear analysis and topology. The text can be used in graduate courses or for independent study. It includes a large number of exercises of different levels of difficulty, accompanied by hints.