Probability On Algebraic And Geometric Structures
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Author | : Gregory Budzban |
Publisher | : American Mathematical Soc. |
Total Pages | : 236 |
Release | : 2016-06-29 |
Genre | : Mathematics |
ISBN | : 1470419459 |
This volume contains the proceedings of the International Research Conference “Probability on Algebraic and Geometric Structures”, held from June 5–7, 2014, at Southern Illinois University, Carbondale, IL, celebrating the careers of Philip Feinsilver, Salah-Eldin A. Mohammed, and Arunava Mukherjea. These proceedings include survey papers and new research on a variety of topics such as probability measures and the behavior of stochastic processes on groups, semigroups, and Clifford algebras; algebraic methods for analyzing Markov chains and products of random matrices; stochastic integrals and stochastic ordinary, partial, and functional differential equations.
Author | : V.V. Buldygin |
Publisher | : Springer Science & Business Media |
Total Pages | : 314 |
Release | : 2013-06-29 |
Genre | : Mathematics |
ISBN | : 9401716870 |
It is well known that contemporary mathematics includes many disci plines. Among them the most important are: set theory, algebra, topology, geometry, functional analysis, probability theory, the theory of differential equations and some others. Furthermore, every mathematical discipline consists of several large sections in which specific problems are investigated and the corresponding technique is developed. For example, in general topology we have the following extensive chap ters: the theory of compact extensions of topological spaces, the theory of continuous mappings, cardinal-valued characteristics of topological spaces, the theory of set-valued (multi-valued) mappings, etc. Modern algebra is featured by the following domains: linear algebra, group theory, the theory of rings, universal algebras, lattice theory, category theory, and so on. Concerning modern probability theory, we can easily see that the clas sification of its domains is much more extensive: measure theory on ab stract spaces, Borel and cylindrical measures in infinite-dimensional vector spaces, classical limit theorems, ergodic theory, general stochastic processes, Markov processes, stochastical equations, mathematical statistics, informa tion theory and many others.
Author | : Frank Nielsen |
Publisher | : Springer |
Total Pages | : 395 |
Release | : 2018-11-19 |
Genre | : Technology & Engineering |
ISBN | : 3030025209 |
This book focuses on information geometry manifolds of structured data/information and their advanced applications featuring new and fruitful interactions between several branches of science: information science, mathematics and physics. It addresses interrelations between different mathematical domains like shape spaces, probability/optimization & algorithms on manifolds, relational and discrete metric spaces, computational and Hessian information geometry, algebraic/infinite dimensional/Banach information manifolds, divergence geometry, tensor-valued morphology, optimal transport theory, manifold & topology learning, and applications like geometries of audio-processing, inverse problems and signal processing. The book collects the most important contributions to the conference GSI’2017 – Geometric Science of Information.
Author | : Leo Corry |
Publisher | : Birkhäuser |
Total Pages | : 463 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3034879172 |
This book describes two stages in the historical development of the notion of mathematical structures: first, it traces its rise in the context of algebra from the mid-1800s to 1930, and then considers attempts to formulate elaborate theories after 1930 aimed at elucidating, from a purely mathematical perspective, the precise meaning of this idea.
Author | : Shoshichi Kobayashi |
Publisher | : University of Texas Press |
Total Pages | : 492 |
Release | : 1996-02-22 |
Genre | : Mathematics |
ISBN | : 9780471157328 |
This two-volume introduction to differential geometry, part of Wiley's popular Classics Library, lays the foundation for understanding an area of study that has become vital to contemporary mathematics. It is completely self-contained and will serve as a reference as well as a teaching guide. Volume 1 presents a systematic introduction to the field from a brief survey of differentiable manifolds, Lie groups and fibre bundles to the extension of local transformations and Riemannian connections. The second volume continues with the study of variational problems on geodesics through differential geometric aspects of characteristic classes. Both volumes familiarize readers with basic computational techniques.
Author | : Roman Vershynin |
Publisher | : Cambridge University Press |
Total Pages | : 299 |
Release | : 2018-09-27 |
Genre | : Business & Economics |
ISBN | : 1108415199 |
An integrated package of powerful probabilistic tools and key applications in modern mathematical data science.
Author | : Valeri? Valer?evich Dolotin |
Publisher | : World Scientific |
Total Pages | : 286 |
Release | : 2007 |
Genre | : Mathematics |
ISBN | : 9812708006 |
Literaturverz. S. 267 - 269
Author | : Marlos A. G. Viana |
Publisher | : American Mathematical Soc. |
Total Pages | : 354 |
Release | : 2001 |
Genre | : Mathematics |
ISBN | : 0821826875 |
The 23 papers report recent developments in using the technique to help clarify the relationship between phenomena and data in a number of natural and social sciences. Among the topics are a coordinate-free approach to multivariate exponential families, some rank-based hypothesis tests for covariance structure and conditional independence, deconvolution density estimation on compact Lie groups, random walks on regular languages and algebraic systems of generating functions, and the extendibility of statistical models. There is no index. c. Book News Inc.
Author | : David Williams |
Publisher | : Cambridge University Press |
Total Pages | : 274 |
Release | : 1991-02-14 |
Genre | : Mathematics |
ISBN | : 9780521406055 |
This is a masterly introduction to the modern, and rigorous, theory of probability. The author emphasises martingales and develops all the necessary measure theory.
Author | : Sergio Fajardo |
Publisher | : Cambridge University Press |
Total Pages | : 150 |
Release | : 2017-03-30 |
Genre | : Mathematics |
ISBN | : 1108619266 |
Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. In this volume, the fourteenth publication in the Lecture Notes in Logic series, Fajardo and Keisler present new research combining probability theory and mathematical logic. It is a general study of stochastic processes using ideas from model theory, a key central theme being the question, 'When are two stochastic processes alike?' The authors assume some background in nonstandard analysis, but prior knowledge of model theory and advanced logic is not necessary. This volume will appeal to mathematicians willing to explore new developments with an open mind.