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Invariant Measures

Invariant Measures Author John Von Neumann
ISBN-10 0821886045
Release 1941*
Pages 134
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This is a heretofore unpublished set of lecture notes by the late John von Neumann on invariant measures, including Haar measures on locally compact groups. The notes for the first half of the book have been prepared by Paul Halmos. The second half of the book includes a discussion of Kakutani's very interesting approach to invariant measures.



General Irreducible Markov Chains and Non Negative Operators

General Irreducible Markov Chains and Non Negative Operators Author Esa Nummelin
ISBN-10 052160494X
Release 2004-06-03
Pages 172
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Presents the theory of general irreducible Markov chains and its connection to the Perron-Frobenius theory of nonnegative operators.



Bulletin new Series of the American Mathematical Society

Bulletin  new Series  of the American Mathematical Society Author
ISBN-10 UOM:39015072629788
Release 2008
Pages
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Bulletin new Series of the American Mathematical Society has been writing in one form or another for most of life. You can find so many inspiration from Bulletin new Series of the American Mathematical Society also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Bulletin new Series of the American Mathematical Society book for free.



Model Theory and the Philosophy of Mathematical Practice

Model Theory and the Philosophy of Mathematical Practice Author John T. Baldwin
ISBN-10 9781108103015
Release 2018-01-25
Pages
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Major shifts in the field of model theory in the twentieth century have seen the development of new tools, methods, and motivations for mathematicians and philosophers. In this book, John T. Baldwin places the revolution in its historical context from the ancient Greeks to the last century, argues for local rather than global foundations for mathematics, and provides philosophical viewpoints on the importance of modern model theory for both understanding and undertaking mathematical practice. The volume also addresses the impact of model theory on contemporary algebraic geometry, number theory, combinatorics, and differential equations. This comprehensive and detailed book will interest logicians and mathematicians as well as those working on the history and philosophy of mathematics.



Advances in Nonlinear Geosciences

Advances in Nonlinear Geosciences Author Anastasios A. Tsonis
ISBN-10 9783319588957
Release 2017-10-13
Pages 707
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Advances in Nonlinear Geosciences is a set of contributions from the participants of “30 Years of Nonlinear Dynamics” held July 3-8, 2016 in Rhodes, Greece as part of the Aegean Conferences, as well as from several other experts in the field who could not attend the meeting. The volume brings together up-to-date research from the atmospheric sciences, hydrology, geology, and other areas of geosciences and presents the new advances made in the last 10 years. Topics include chaos synchronization, topological data analysis, new insights on fractals, multifractals and stochasticity, climate dynamics, extreme events, complexity, and causality, among other topics.



Navier Stokes Equations

Navier   Stokes Equations Author Grzegorz Łukaszewicz
ISBN-10 9783319277608
Release 2016-04-12
Pages 390
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This volume is devoted to the study of the Navier–Stokes equations, providing a comprehensive reference for a range of applications: from advanced undergraduate students to engineers and professional mathematicians involved in research on fluid mechanics, dynamical systems, and mathematical modeling. Equipped with only a basic knowledge of calculus, functional analysis, and partial differential equations, the reader is introduced to the concept and applications of the Navier–Stokes equations through a series of fully self-contained chapters. Including lively illustrations that complement and elucidate the text, and a collection of exercises at the end of each chapter, this book is an indispensable, accessible, classroom-tested tool for teaching and understanding the Navier–Stokes equations. Incompressible Navier–Stokes equations describe the dynamic motion (flow) of incompressible fluid, the unknowns being the velocity and pressure as functions of location (space) and time variables. A solution to these equations predicts the behavior of the fluid, assuming knowledge of its initial and boundary states. These equations are one of the most important models of mathematical physics: although they have been a subject of vivid research for more than 150 years, there are still many open problems due to the nature of nonlinearity present in the equations. The nonlinear convective term present in the equations leads to phenomena such as eddy flows and turbulence. In particular, the question of solution regularity for three-dimensional problem was appointed by Clay Institute as one of the Millennium Problems, the key problems in modern mathematics. The problem remains challenging and fascinating for mathematicians, and the applications of the Navier–Stokes equations range from aerodynamics (drag and lift forces), to the design of watercraft and hydroelectric power plants, to medical applications such as modeling the flow of blood in the circulatory system.



The Joys of Haar Measure

The Joys of Haar Measure Author Joe Diestel
ISBN-10 9781470409357
Release 2014-04-23
Pages 320
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From the earliest days of measure theory, invariant measures have held the interests of geometers and analysts alike, with the Haar measure playing an especially delightful role. The aim of this book is to present invariant measures on topological groups, progressing from special cases to the more general. Presenting existence proofs in special cases, such as compact metrizable groups, highlights how the added assumptions give insight into just what the Haar measure is like; tools from different aspects of analysis and/or combinatorics demonstrate the diverse views afforded the subject. After presenting the compact case, applications indicate how these tools can find use. The generalisation to locally compact groups is then presented and applied to show relations between metric and measure theoretic invariance. Steinlage's approach to the general problem of homogeneous action in the locally compact setting shows how Banach's approach and that of Cartan and Weil can be unified with good effect. Finally, the situation of a nonlocally compact Polish group is discussed briefly with the surprisingly unsettling consequences indicated. The book is accessible to graduate and advanced undergraduate students who have been exposed to a basic course in real variables, although the authors do review the development of the Lebesgue measure. It will be a stimulating reference for students and professors who use the Haar measure in their studies and research.



Transactions of the Moscow Mathematical Society

Transactions of the Moscow Mathematical Society Author American Mathematical Society
ISBN-10 0821895303
Release 1974-12-31
Pages 239
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Ranges over such topics as subdifferentials of convex functions, ergodictheorems for dynamical systems, noncommutative probability theory, limit density matrices, and conservative Hamiltonian systems



Recent Advances in Topological Dynamics

Recent Advances in Topological Dynamics Author A. Beck
ISBN-10 9783540384144
Release 2006-12-22
Pages 290
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Recent Advances in Topological Dynamics has been writing in one form or another for most of life. You can find so many inspiration from Recent Advances in Topological Dynamics also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Recent Advances in Topological Dynamics book for free.



African Americans in Mathematics

African Americans in Mathematics Author Nathaniel Dean
ISBN-10 0821870793
Release 1997-01-01
Pages 205
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This volume contains contains research and expository papers by African-American mathematicians on issues related to their involvement in the mathematical sciences. Little is known, taught, or written about African-American mathematicians. Information is lacking on their past and present contributions and on the qualitive nature of their existence in and distribution throughout mathematics. This lack of information leads to a number of questions that have to date remainedunanswered. This volume provides details and pointers to help answer some of these questions.



Trends in Stochastic Analysis

Trends in Stochastic Analysis Author Jochen Blath
ISBN-10 9780521718219
Release 2009-04-09
Pages 390
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Presenting important trends in the field of stochastic analysis, this collection of thirteen articles provides an overview of recent developments and new results. Written by leading experts in the field, the articles cover a wide range of topics, ranging from an alternative set-up of rigorous probability to the sampling of conditioned diffusions. Applications in physics and biology are treated, with discussion of Feynman formulas, intermittency of Anderson models and genetic inference. A large number of the articles are topical surveys of probabilistic tools such as chaining techniques, and of research fields within stochastic analysis, including stochastic dynamics and multifractal analysis. Showcasing the diversity of research activities in the field, this book is essential reading for any student or researcher looking for a guide to modern trends in stochastic analysis and neighbouring fields.



Conference in Modern Analysis and Probability

Conference in Modern Analysis and Probability Author Richard Beals
ISBN-10 9780821850305
Release 1984
Pages 432
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An NSF-supported conference in honor of Professor Shizuo Kakutani was held on June 8-11, 1982, at Yale University, on the occasion of Kakutani's retirement. The three major areas of mathematics on which the conference focused were functional analysis, probability theory, and ergodic theory. Most of the articles presented were works by the respective authors on problems that were pioneered by Professor Kakutani in the past. Questions in Brownian motion, induced transformations, representation of $M$-spaces, and fixed point theorems were discussed.



Ergodic Theory Dynamical Systems and the Continuing Influence of John C Oxtoby

Ergodic Theory  Dynamical Systems  and the Continuing Influence of John C  Oxtoby Author Joseph Auslander
ISBN-10 9781470422998
Release 2016-11-29
Pages 316
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This volume contains the proceedings of three conferences in Ergodic Theory and Symbolic Dynamics: the Oxtoby Centennial Conference, held from October 30–31, 2010, at Bryn Mawr College; the Williams Ergodic Theory Conference, held from July 27–29, 2012, at Williams College; and the AMS Special Session on Ergodic Theory and Symbolic Dynamics, held from January 17–18, 2014, in Baltimore, MD. This volume contains articles covering a variety of topics in measurable, symbolic and complex dynamics. It also includes a survey article on the life and work of John Oxtoby, providing a source of information about the many ways Oxtoby's work influenced mathematical thought in this and other fields.



Harmonic Analysis of Probability Measures on Hypergroups

Harmonic Analysis of Probability Measures on Hypergroups Author Walter R. Bloom
ISBN-10 3110121050
Release 1995
Pages 601
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A systematic presentation of the applications of the hypergroup method to problems in probability theory that deals exclusively with topological hypergroups, focusing on those that are commutative. It considers hypergroups as locally compact spaces with a group-like structure on which the bounded measures convolve in a similar way to that on a locally compact group. The volume covers hypergroups and their measure algebras, the dual of a commutative hypergroup, some special classes of hypergroups, positive and negative definite functions and measures, convolution semigroups and divisibility of measures, transience of convolution semigroups, and randomized sums of hypergroup-valued random variables. Annotation copyright by Book News, Inc., Portland, OR



Mathematics Into the Twenty first Century

Mathematics Into the Twenty first Century Author American Mathematical Society
ISBN-10 0821801678
Release 1992
Pages 491
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In the summer of 1988 in Providence, the AMS celebrated its centennial with a wide range of mathematical activities. Among those was a symposium, Mathematics into the Twenty-first Century, which brought together a number of the top research mathematicians who will likely have a significant impact on the mathematics of this century. This book contains the lectures presented by 16 of the 18 individuals who spoke during the symposium. Written by some of the major international figures in mathematical research, this group of articles covers a panorama of the vital areas of mathematics at the turn of the 21st century and gives the general mathematical reader a broad perspective on some of the major trends in research.



Tran Moscow Math Soc Vol 22 1970

Tran Moscow Math Soc  Vol 22 1970 Author American Mathematical Society
ISBN-10 0821895265
Release 1972-12-31
Pages
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Covers a diversity of topics, including factor representations of the anticommutation relations, facial characteristics of convex sets, statistical physics, categories with involution, and many-valued mappings and Borel sets



Introduction to the Modern Theory of Dynamical Systems

Introduction to the Modern Theory of Dynamical Systems Author Anatole Katok
ISBN-10 0521575575
Release 1997
Pages 802
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This book provides a self-contained comprehensive exposition of the theory of dynamical systems. The book begins with a discussion of several elementary but crucial examples. These are used to formulate a program for the general study of asymptotic properties and to introduce the principal theoretical concepts and methods. The main theme of the second part of the book is the interplay between local analysis near individual orbits and the global complexity of the orbit structure. The third and fourth parts develop the theories of low-dimensional dynamical systems and hyperbolic dynamical systems in depth. The book is aimed at students and researchers in mathematics at all levels from advanced undergraduate and up.