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Probability On Algebraic And Geometric Structures


Probability On Algebraic And Geometric Structures
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Probability On Algebraic And Geometric Structures


Probability On Algebraic And Geometric Structures
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Author : Gregory Budzban
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-06-29

Probability On Algebraic And Geometric Structures written by Gregory Budzban 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 2016-06-29 with Mathematics categories.


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.



Geometric Aspects Of Probability Theory And Mathematical Statistics


Geometric Aspects Of Probability Theory And Mathematical Statistics
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Author : V.V. Buldygin
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29

Geometric Aspects Of Probability Theory And Mathematical Statistics written by V.V. Buldygin 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 2013-06-29 with Mathematics categories.


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.



Geometric Structures Of Information


Geometric Structures Of Information
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Author : Frank Nielsen
language : en
Publisher: Springer
Release Date : 2018-11-19

Geometric Structures Of Information written by Frank Nielsen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-19 with Technology & Engineering categories.


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.



Probability On Algebraic And Geometric Structures


Probability On Algebraic And Geometric Structures
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Author : Gregory Budzban
language : en
Publisher:
Release Date : 2016

Probability On Algebraic And Geometric Structures written by Gregory Budzban and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Combinatorial geometry categories.




Introduction To Geometric Probability


Introduction To Geometric Probability
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Author : Daniel A. Klain
language : en
Publisher: Cambridge University Press
Release Date : 1997-12-11

Introduction To Geometric Probability written by Daniel A. Klain and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-12-11 with Mathematics categories.


The purpose of this book is to present the three basic ideas of geometrical probability, also known as integral geometry, in their natural framework. In this way, the relationship between the subject and enumerative combinatorics is more transparent, and the analogies can be more productively understood. The first of the three ideas is invariant measures on polyconvex sets. The authors then prove the fundamental lemma of integral geometry, namely the kinematic formula. Finally the analogues between invariant measures and finite partially ordered sets are investigated, yielding insights into Hecke algebras, Schubert varieties and the quantum world, as viewed by mathematicians. Geometers and combinatorialists will find this a most stimulating and fruitful story.



Probabilities On The Heisenberg Group


Probabilities On The Heisenberg Group
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Author : Daniel Neuenschwander
language : en
Publisher: Lecture Notes in Mathematics
Release Date : 1996-08-19

Probabilities On The Heisenberg Group written by Daniel Neuenschwander and has been published by Lecture Notes in Mathematics this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-08-19 with Computers categories.


This volume constitutes the proceedings of the Third International Workshop of the European Association for Machine Translation, held in Heidelberg, Germany in April 1993. The EAMT Workshops traditionally aim at bringing together researchers, developers, users, and others interested in the field of machine or computer-assisted translation research, development and use. The volume presents thoroughly revised versions of the 15 best workshop contributions together with an introductory survey by the volume editor. The presentations are centered primarily on questions of acquiring, sharing, and managing lexical data, but also address aspects of lexical description.



Geometric Algebra For Physicists


Geometric Algebra For Physicists
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Author : Chris Doran
language : en
Publisher: Cambridge University Press
Release Date : 2007-11-22

Geometric Algebra For Physicists written by Chris Doran and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-11-22 with Science categories.


Geometric algebra is a powerful mathematical language with applications across a range of subjects in physics and engineering. This book is a complete guide to the current state of the subject with early chapters providing a self-contained introduction to geometric algebra. Topics covered include new techniques for handling rotations in arbitrary dimensions, and the links between rotations, bivectors and the structure of the Lie groups. Following chapters extend the concept of a complex analytic function theory to arbitrary dimensions, with applications in quantum theory and electromagnetism. Later chapters cover advanced topics such as non-Euclidean geometry, quantum entanglement, and gauge theories. Applications such as black holes and cosmic strings are also explored. It can be used as a graduate text for courses on the physical applications of geometric algebra and is also suitable for researchers working in the fields of relativity and quantum theory.



Hopf Monoids And Generalized Permutahedra


Hopf Monoids And Generalized Permutahedra
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Author : Marcelo Aguiar
language : en
Publisher: American Mathematical Society
Release Date : 2023-09-27

Hopf Monoids And Generalized Permutahedra written by Marcelo Aguiar and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-27 with Mathematics categories.


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Smooth Homotopy Of Infinite Dimensional C Infty Manifolds


Smooth Homotopy Of Infinite Dimensional C Infty Manifolds
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Author : Hiroshi Kihara
language : en
Publisher: American Mathematical Society
Release Date : 2023-09-27

Smooth Homotopy Of Infinite Dimensional C Infty Manifolds written by Hiroshi Kihara and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-27 with Mathematics categories.


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Unitarizability In Corank Three For Classical P Adic Groups


Unitarizability In Corank Three For Classical P Adic Groups
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Author : Marko Tadi?
language : en
Publisher: American Mathematical Society
Release Date : 2023-06-22

Unitarizability In Corank Three For Classical P Adic Groups written by Marko Tadi? and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-22 with Mathematics categories.


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