Alexander Grigoryan's Books

Heat Kernel and Analysis on Manifolds

By: Alexander Grigoryan

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Heat Kernel and Analysis on Manifolds

By: Alexander Grigoryan

This volume contains the expanded lecture notes of courses taught at the Emile Borel Centre of the Henri Poincaré Institute (Paris). In the book, leading experts introduce recent research in their fields. The unifying theme is the study of heat kernels in various situations using related geometric and analytic tools. Topics include analysis of complex-coefficient elliptic operators, diffusions on fractals and on infinite-dimensional groups, heat kernel and isoperimetry on Riemannian manifolds, heat kernels and infinite dimensional analysis, diffusions and Sobolev-type spaces on metric spaces, quasi-regular mappings and p -Laplace operators, heat kernel and spherical inversion on SL 2 (C) , random walks and spectral geometry on crystal lattices, isoperimetric and isocapacitary inequalities, and generating function techniques for random walks on graphs."--Publisher's website.

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504

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821849352

ISBN 13

9780821849354

Ararat in America

Armenian American Culture and Politics in the Twentieth Century

By: Benjamin F. Alexander

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Ararat in America

Armenian American Culture and Politics in the Twentieth Century

By: Benjamin F. Alexander

How has the distinctive Armenian-American community expressed its identity as an ethnic minority while 'assimilating' to life in the United States? This book examines the role of community leaders and influencers, including clergy, youth organizers, and partisan newspaper editors, in fostering not only a sense of Armenian identity but specific ethnic-partisan leanings within the group's population. Against the backdrop of key geopolitical events from the aftermath of the Armenian Genocide to the creation of an independent and then Soviet Armenia, it explores the rivalry between two major Armenian political parties, the Tashnags and the Ramgavars, and the relationship that existed between partisan leaders and their broader constituency. Rather than treating the partisan conflict as simply an impediment to Armenian unity, Benjamin Alexander examines the functional if accidental role that it played in keeping certain community institutions alive. He further analyses the two camps as representing two conflicting visions of how to be an ethnic group, drawing a comparison between the sociology-of-religion models of comfort religion and challenge religion. A detailed political and social history, this book integrates the Armenian experience into the broader and more familiar narratives of World War I, World War II, and the Cold War in the USA.

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420

Publisher

Bloomsbury Publishing

Published Date

ISBN 10

0755648838

ISBN 13

9780755648832

Multiparameter Stability Theory With Mechanical Applications

By: Alexei A Mailybaev,Alexander P Seyranian

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Multiparameter Stability Theory With Mechanical Applications

By: Alexei A Mailybaev,Alexander P Seyranian

This book deals with fundamental problems, concepts, and methods of multiparameter stability theory with applications in mechanics. It presents recent achievements and knowledge of bifurcation theory, sensitivity analysis of stability characteristics, general aspects of nonconservative stability problems, analysis of singularities of boundaries for the stability domains, stability analysis of multiparameter linear periodic systems, and optimization of structures under stability constraints. Systems with finite degrees of freedom and with continuous models are both considered. The book combines mathematical foundation with interesting classical and modern mechanical problems.A number of mechanical problems illustrating how bifurcations and singularities change the behavior of systems and lead to new physical phenomena are discussed. Among these problems, the authors consider systems of rotating bodies, tubes conveying fluid, elastic columns under the action of periodic and follower forces, optimization problems for conservative systems, etc. The methods presented are constructive and easy to implement in computer programs.This book is addressed to graduate students, academics, researchers, and practitioners in aerospace, naval, civil, and mechanical engineering. No special background is needed; just a basic knowledge of mathematics and mechanics.

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421

Publisher

World Scientific

Published Date

ISBN 10

9814485705

ISBN 13

9789814485708

Armenian Christianity Today

Identity Politics and Popular Practice

By: Alexander Agadjanian

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Armenian Christianity Today

Identity Politics and Popular Practice

By: Alexander Agadjanian

Armenian Christianity Today examines contemporary religious life and the social, political, and cultural functions of religion in the post-Soviet Republic of Armenia and in the Armenian Diaspora worldwide. Scholars from a range of countries and disciplines explore current trends and everyday religiosity, particularly within the Armenian Apostolic Church (AAC), and amongst Armenian Catholics, Protestants and vernacular religions. Themes examined include: Armenian grass-roots religiosity; the changing forms of regular worship and devotion; various types of congregational life; and the dynamics of social composition of both the clergy and lay believers. Exploring through the lens of Armenia, this book considers wider implications of ’postsecular’ trends in the role of global religion.

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286

Publisher

Routledge

Published Date

ISBN 10

1317178572

ISBN 13

9781317178576

Diffraction Radiation from Relativistic Particles

By: Alexander Potylitsyn,Mikhail Ivanovich Ryazanov,Mikhail Nikolaevich Strikhanov,Alexey Alexandrovich Tishchenko

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Diffraction Radiation from Relativistic Particles

By: Alexander Potylitsyn,Mikhail Ivanovich Ryazanov,Mikhail Nikolaevich Strikhanov,Alexey Alexandrovich Tishchenko

This book deals with diffraction radiation, which implies the boundary problems of electromagnetic radiation theory. Diffraction radiation is generated when a charged particle moves near a target edge at a distance ( – Lorentz factor, – wave length). Diffraction radiation of non-relativistic particles is widely used to design intense emitters in the cm wavelength range. Diffraction radiation from relativistic charged particles is important for noninvasive beam diagnostics and design of free electron lasers based on Smith-Purcell radiation which is diffraction radiation from periodic structures. Different analytical models of diffraction radiation and results of recent experimental studies are presented in this book. The book may also serve as guide to classical electrodynamics applications in beam physics and electrodynamics. It can be of great use for young researchers to develop skills and for experienced scientists to obtain new results.

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285

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642125123

ISBN 13

9783642125126

Laser Optoelectronic Oscillators

By: Alexander A. Bortsov,Yuri B. Il’in,Sergey M. Smolskiy

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Laser Optoelectronic Oscillators

By: Alexander A. Bortsov,Yuri B. Il’in,Sergey M. Smolskiy

This book is devoted to the theoretical and experimental investigation of the optoelectronic oscillator (OEO) with direct and external modulation of laser emission. Such devices, sources of precision radio frequency oscillations using laser excitation, are novel and technologically relevant, with manifold possible applications. The book includes a review of the present state of the theory and generation techniques in microwave and mm-wave ranges for traditional and optoelectronic oscillators, description of OEO construction and operation principles, theoretical oscillation analysis and mathematical description of the relevant semi-classical laser physics, and investigation of the power spectral density of noises. Technical features and advantages of OEOs with external and direct modulation of laser emission are discussed together with functional diagrams. The characteristics of OEOs are compared with other traditional RF oscillators, such as quartz, surface acoustic waves, and oscillators with electromagnetic wave cavities. Special attention is paid to Q-factors and phase noises of RF carriers at small offsets. The authors discuss the technical characteristics of modern optoelectronic methods for precision RF oscillation formation, such as commercial large-dimension and compact quantum frequency standards with optical pumping on cesium and rubidium cells. This book is aimed at scientists and engineers in academia and industry who work with sources of microwave and mm-wave signals.

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548

Publisher

Springer Nature

Published Date

ISBN 10

3030457001

ISBN 13

9783030457006

Combustion for Material Synthesis

By: Alexander S. Rogachev,Alexander S. Mukasyan

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Combustion for Material Synthesis

By: Alexander S. Rogachev,Alexander S. Mukasyan

Exposes a Powerful Material-Making Tool Dedicated to the physical, chemical, and structural transformations that take place during combustion synthesis (CS) of advanced materials, Combustion for Material Synthesis analyzes the nature of solid flame phenomenon and provides readers with undisputed proof that ‘fire’ is a powerful tool used in making materials. Of interest to specialists in the field of materials engineering, this book explores the physical and chemical principles of synthesis of materials in the self-sustained combustion mode. It describes mechanisms for a variety of solid–solid and gas–solid reactions and examines structure and properties of different materials produced by CS. The authors discuss a wide range of topics, including phenomenology, theory, experimental methods and observations, as well as properties of the product synthesized and approaches for large-scale materials production using the combustion synthesis technique. They examine conventional concepts and present recent breakthroughs in the field of materials synthesis by rapid self-sustained reactions that include fabrication of different nanomaterials. They compare CS with other methods, factoring in different types of combustion processes, including processes that can occur in a vacuum, inert gas, or oxygen-free atmosphere. Covering research on topics that have been around for a while, but not widely circulated, this work: Outlines in detail both fundamental aspects of CS, including modern theoretical approaches and advanced in situ experimental methods Examines the advantages and disadvantages, achievements, and challenges remained in heterogeneous combustion used for material synthesis Explores the emergence of a new fundamental direction in material science, i.e., structural macrokinetics Details new technologies that are based on fundamental scientific discoveries and innovative scientific ideas Analyzes structure and properties of variety of CS materials, including nanomaterials Authored by world-recognized specialists in the field of combustion synthesis for advanced materials, Combustion for Material Synthesis presents the state of the art in R&D in the field of CS, focusing on the fabrication of novel materials. It is intended for researchers, engineers, and graduate students from different disciplines and is also suggested as recommended reading for materials science courses.

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426

Publisher

CRC Press

Published Date

ISBN 10

1482239515

ISBN 13

9781482239515

Authoritarian Regionalism in the World of International Organizations

Global Perspective and the Eurasian Enigma

By: Anastassia V. Obydenkova,Alexander Libman

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Authoritarian Regionalism in the World of International Organizations

Global Perspective and the Eurasian Enigma

By: Anastassia V. Obydenkova,Alexander Libman

The interconnection between international organizations (IOs) membership and democratization has become a topic of intense debate. However, the main focus of the literature so far has been on IOs created by democratic states and comprised mostly of democracies, for examples the European Union. In contrast to existing studies, this book focuses on another group of regional IOs, referred to as 'non-democratic IOs' which are organizations founded by autocracies. How do these newly emerged organizations interrelate and interact with the outside world? How do they counteract and confront the danger of democratization in their own member states and neighboring states? This book aims to address these questions by developing a new theory of authoritarian regionalism, and by combining both quantitative and qualitative analysis to test it. The quantitative analysis uses a large dataset of all regional organizations worldwide for the post-World War II period, with the aim of defining historical trends in development and the modification of regionalism over the last seven decades (1945-2015). Qualitative analysis refines and develops the argument by looking at the case of post-Soviet Eurasia. The book uncovers a new type of regionalism - 'authoritarian regionalism' and traces its historical roots as well as its implications for modern politics. The book is the first attempt to systematically investigate the functioning and the impact of authoritarian regionalism as a new phenomenon as well as its implications for democratization world-wide. The book contributes to the theory of regionalism, international organizations, studies of autocracies, foreign policy, and democratization world-wide.

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249

Publisher

Oxford University Press

Published Date

ISBN 10

0192575724

ISBN 13

9780192575722

Variational and Quasi-Variational Inequalities in Mechanics

By: Alexander S. Kravchuk,Pekka J. Neittaanmäki

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Variational and Quasi-Variational Inequalities in Mechanics

By: Alexander S. Kravchuk,Pekka J. Neittaanmäki

The essential aim of this book is to consider a wide set of problems arising in the mathematical modeling of mechanical systems under unilateral constraints. In these investigations elastic and non-elastic deformations, friction and adhesion phenomena are taken into account. All the necessary mathematical tools are given: local boundary value problem formulations, construction of variational equations and inequalities and their transition to minimization problems, existence and uniqueness theorems, and variational transformations (Friedrichs and Young-Fenchel-Moreau) to dual and saddle-point search problems.

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337

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Springer Science & Business Media

Published Date

ISBN 10

1402063776

ISBN 13

9781402063770

Legacies of the Stone Guest

The Don Juan Legend in Russian Literature

By: Alexander Burry

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Legacies of the Stone Guest

The Don Juan Legend in Russian Literature

By: Alexander Burry

The story of Don Juan first appeared in writing in seventeenth-century Spain, reaching Russia about a century later. Its real impact, however, was delayed until Russia’s most famous poet, Alexander Pushkin, put his own, unique, and uniquely inspirational, spin on the tale. Published in 1830, TheStone Guest is now recognized, with other Pushkin masterpieces, as part of the Russian literary canon. Alexander Burry traces the influence of Pushkin’s brilliant innovations to the legend, which he shows have proven repeatedly fruitful through successive ages of Russian literature, from the Realist to the Silver Age, Soviet, and contemporary periods. Burry shows that, rather than creating a simple retelling of an originally religious tale about a sinful, consummate seducer, Pushkin offered open-ended scenes, re-envisioned and complicated characters, and new motifs that became recursive and productive parts of Russian literature, in ways that even Pushkin himself could never have predicted.

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253

Publisher

University of Wisconsin Pres

Published Date

ISBN 10

0299342107

ISBN 13

9780299342104

Management of Structure Formation and Properties of Cement Concretes

By: Levon R. Mailyan,Sergey A. Stel’makh,Evgenii M. Shcherban',Mikhail G. Kholodnyak,Alla S. Smolyanichenko,Ivan A. Parinov,Alexander V. Cherpakov

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Management of Structure Formation and Properties of Cement Concretes

By: Levon R. Mailyan,Sergey A. Stel’makh,Evgenii M. Shcherban',Mikhail G. Kholodnyak,Alla S. Smolyanichenko,Ivan A. Parinov,Alexander V. Cherpakov

The book presents Russian experience in researching and developing theoretical and experimental problems of heavy concrete elements and constructions with functionally gradient structure, manufactured by using mechanical and electromagnetic vibrations, and broadly utilized in different areas of industry. Original theoretical, experimental and numerical methods are developed for the analysis and design of the aggregate and local characteristics of vibrated, centrifuged and vibro-centrifuged concrete rings and columns. The promising experimental techniques and results presented in this volume have been supported by Russian patents and used for improvement of reinforced concrete products.

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241

Publisher

Springer Nature

Published Date

ISBN 10

3031089197

ISBN 13

9783031089190

The Napoleonic Wars

A Global History

By: Alexander Mikaberidze

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The Napoleonic Wars

A Global History

By: Alexander Mikaberidze

The first truly global history of the Napoleonic Wars, arguably the first world war.

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977

Publisher

Oxford University Press, USA

Published Date

ISBN 10

0199951063

ISBN 13

9780199951062

Non-Stationary Electromagnetics

An Integral Equations Approach

By: Alexander Nerukh,Trevor Benson

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Non-Stationary Electromagnetics

An Integral Equations Approach

By: Alexander Nerukh,Trevor Benson

This book is devoted to the investigations of non-stationary electromagnetic processes. The investigations are undertaken analytically mainly using the Volterra integral equations approach. The book contains a systematic statement of this approach for the investigations of electrodynamics phenomena in the time domain and new results and applications in microwave techniques and photonics. Particular consideration is given to electromagnetic transients in time-varying media and their potential applications. The approach is formulated and electromagnetic phenomena are investigated in detail for a hollow metal waveguide, which contains moving dielectric or plasma-bounded medium, and dielectric waveguides with time-varying medium inside a core.

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Page Count

474

Publisher

CRC Press

Published Date

ISBN 10

0429650957

ISBN 13

9780429650956

40 YEARS OF SHS: A LUCKY STAR OF A SCIENTIFIC DISCOVERY A Presentation with Elements of a Scientific Lecture

By: Alexander G. Merzhanov

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40 YEARS OF SHS: A LUCKY STAR OF A SCIENTIFIC DISCOVERY A Presentation with Elements of a Scientific Lecture

By: Alexander G. Merzhanov

This e-book is a short history of self-propagating high-temperature synthesis (SHS) of inorganic materials and substances. The author considers distinct features of the research work of the most active groups along with their important scientific and practical achievements. The main result of these efforts is the appearance a new field of knowledge on the boundary between combustion science and materials science. The book is written in an original manner which combines the description of the scientific results with interesting stories about various episodes accompanying development of signific.

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112

Publisher

Bentham Science Publishers

Published Date

ISBN 10

1608051285

ISBN 13

9781608051281

Christian-Muslim Relations. A Bibliographical History. Volume 2 (900-1050)

By: David Thomas,Alexander Mallett

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Christian-Muslim Relations. A Bibliographical History. Volume 2 (900-1050)

By: David Thomas,Alexander Mallett

Christian-Muslim Relations, a Bibliographical History 2 (CMR2) is the second part of a general history of relations between the faiths. Covering the period from 900 to 1050, it comprises a series of introductory essays, together with the main body of more than one hundred detailed entries on all the works by Christians and Muslims about and against one another that are known from this period. These entries provide biographical details of the authors where known, descriptions and assessments of the works themselves, and complete accounts of manuscripts, editions, translations and studies. The result of collaboration between leading scholars in the field, CMR2 is an indispensable basis for research in all elements of the history of Christian-Muslim relations.

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787

Publisher

BRILL

Published Date

ISBN 10

9004216189

ISBN 13

9789004216181

Self-Propagating High-Temperature Synthesis of Materials

By: Anatoli A. Borisov,Luigi T. De Luca,Alexander G. Merzhanov

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Self-Propagating High-Temperature Synthesis of Materials

By: Anatoli A. Borisov,Luigi T. De Luca,Alexander G. Merzhanov

Self-Propagating High-Temperature Synthesis of Materials is a collection of papers that reflects modern trends in self-propagating, high-temperature synthesis (SHS), a process for synthesis of modern materials carried out in the mode of autowave solid-flame combustion. To date, SHS-produced materials have found their application in different branches of modern science and technology, mechanical engineering, ferrous and nonferrous metallurgy, aerospace engineering, chemical industry, electrical engineering, and electronics. This book is useful not only for the SHS community, but also for researchers and engineers who are active in the following related fields of knowledge; theory and practice of combustion, materials science and technology, pure and applied chemistry, and metallurgy.

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348

Publisher

CRC Press

Published Date

ISBN 10

1560329785

ISBN 13

9781560329787

Nitride Ceramics

Combustion Synthesis, Properties and Applications

By: Alexander A. Gromov,Liudmila N. Chukhlomina

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Nitride Ceramics

Combustion Synthesis, Properties and Applications

By: Alexander A. Gromov,Liudmila N. Chukhlomina

A comprehensive overview of recent developments in the field of non-oxide ceramics with special emphasis placed on the combustion synthesis of group I-VI nitrides and oxynitrides. To ensure the widest possible perspective, the authors are experts in academia, industry, or government research, and each chapter discusses different synthetic methods and process parameters, as well as important material properties and applications. The result is invaluable reading for researchers and practitioners in the industry as well as those looking for an introduction to the field. It is equally of great interest to chemists and materials scientists as well as engineers working in the area of inorganic and solid-state chemistry, structural and functional materials, catalysis, metallurgy, and electrochemistry.

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Page Count

362

Publisher

John Wiley & Sons

Published Date

ISBN 10

3527337555

ISBN 13

9783527337552

Monoids, Acts and Categories

With Applications to Wreath Products and Graphs. A Handbook for Students and Researchers

By: Mati Kilp,Ulrich Knauer,Alexander V. Mikhalev

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Monoids, Acts and Categories

With Applications to Wreath Products and Graphs. A Handbook for Students and Researchers

By: Mati Kilp,Ulrich Knauer,Alexander V. Mikhalev

The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers interested in a thorough study of the subject. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany Katrin Wendland, University of Freiburg, Germany Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Boštjan Gabrovšek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)

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549

Publisher

Walter de Gruyter

Published Date

ISBN 10

3110812908

ISBN 13

9783110812909

Introduction to Analysis on Graphs

By: Alexander Grigor’yan

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Introduction to Analysis on Graphs

By: Alexander Grigor’yan

A central object of this book is the discrete Laplace operator on finite and infinite graphs. The eigenvalues of the discrete Laplace operator have long been used in graph theory as a convenient tool for understanding the structure of complex graphs. They can also be used in order to estimate the rate of convergence to equilibrium of a random walk (Markov chain) on finite graphs. For infinite graphs, a study of the heat kernel allows to solve the type problem—a problem of deciding whether the random walk is recurrent or transient. This book starts with elementary properties of the eigenvalues on finite graphs, continues with their estimates and applications, and concludes with heat kernel estimates on infinite graphs and their application to the type problem. The book is suitable for beginners in the subject and accessible to undergraduate and graduate students with a background in linear algebra I and analysis I. It is based on a lecture course taught by the author and includes a wide variety of exercises. The book will help the reader to reach a level of understanding sufficient to start pursuing research in this exciting area.

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160

Publisher

American Mathematical Soc.

Published Date

ISBN 10

147044397X

ISBN 13

9781470443979

Heat Kernel and Analysis on Manifolds

By: Alexander Grigoryan

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Heat Kernel and Analysis on Manifolds

By: Alexander Grigoryan

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.

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504

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American Mathematical Soc.

Published Date

ISBN 10

0821893939

ISBN 13

9780821893937

Introduction to Analysis on Graphs

By: Alexander Grigor’yan

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Introduction to Analysis on Graphs

By: Alexander Grigor’yan

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160

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American Mathematical Soc.

Published Date

ISBN 10

147044397X

ISBN 13

9781470443979

Heat Kernels and Analysis on Manifolds, Graphs, and Metric Spaces

Lecture Notes from a Quarter Program on Heat Kernels, Random Walks, and Analysis on Manifolds and Graphs : April 16-July 13, 2002, Emile Borel Centre of the Henri Poincaré Institute, Paris, France

By: Pascal Auscher,T. Coulhon

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Heat Kernels and Analysis on Manifolds, Graphs, and Metric Spaces

Lecture Notes from a Quarter Program on Heat Kernels, Random Walks, and Analysis on Manifolds and Graphs : April 16-July 13, 2002, Emile Borel Centre of the Henri Poincaré Institute, Paris, France

By: Pascal Auscher,T. Coulhon

This volume contains the expanded lecture notes of courses taught at the Emile Borel Centre of the Henri Poincare Institute (Paris). In the book, leading experts introduce recent research in their fields. The unifying theme is the study of heat kernels in various situations using related geometric and analytic tools. Topics include analysis of complex-coefficient elliptic operators, diffusions on fractals and on infinite-dimensional groups, heat kernel and isoperimetry on Riemannian manifolds, heat kernels and infinite dimensional analysis, diffusions and Sobolev-type spaces on metric spaces, quasi-regular mappings and $p$-Laplace operators, heat kernel and spherical inversion on $SL 2(C)$, random walks and spectral geometry on crystal lattices, isoperimetric and isocapacitary inequalities, and generating function techniques for random walks on graphs. This volume is suitable for graduate students and research mathematicians interested in random processes and analysis on manifolds.

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Page Count

434

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821833839

ISBN 13

9780821833834

Book's by Alexander Grigoryan

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