Geometry, Analysis and Probability

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Publisher : Birkhäuser
ISBN 13 : 3319496387
Total Pages : 361 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Geometry, Analysis and Probability by : Jean-Benoît Bost

Download or read book Geometry, Analysis and Probability written by Jean-Benoît Bost and published by Birkhäuser. This book was released on 2017-04-26 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Geometric Probability

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Publisher : SIAM
ISBN 13 : 9781611970418
Total Pages : 180 pages
Book Rating : 4.9/5 (74 download)

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Book Synopsis Geometric Probability by : Herbert Solomon

Download or read book Geometric Probability written by Herbert Solomon and published by SIAM. This book was released on 1978-01-01 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topics include: ways modern statistical procedures can yield estimates of pi more precisely than the original Buffon procedure traditionally used; the question of density and measure for random geometric elements that leave probability and expectation statements invariant under translation and rotation; the number of random line intersections in a plane and their angles of intersection; developments due to W.L. Stevens's ingenious solution for evaluating the probability that n random arcs of size a cover a unit circumference completely; the development of M.W. Crofton's mean value theorem and its applications in classical problems; and an interesting problem in geometrical probability presented by a karyograph.

Geometry, Analysis and Probability

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Publisher :
ISBN 13 : 9783319496375
Total Pages : 361 pages
Book Rating : 4.4/5 (963 download)

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Book Synopsis Geometry, Analysis and Probability by : Jean-Benoît Bost

Download or read book Geometry, Analysis and Probability written by Jean-Benoît Bost and published by . This book was released on 2017 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Differential Geometry and Statistics

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Publisher : Routledge
ISBN 13 : 1351455117
Total Pages : 164 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Differential Geometry and Statistics by : M.K. Murray

Download or read book Differential Geometry and Statistics written by M.K. Murray and published by Routledge. This book was released on 2017-10-19 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Several years ago our statistical friends and relations introduced us to the work of Amari and Barndorff-Nielsen on applications of differential geometry to statistics. This book has arisen because we believe that there is a deep relationship between statistics and differential geometry and moreoever that this relationship uses parts of differential geometry, particularly its 'higher-order' aspects not readily accessible to a statistical audience from the existing literature. It is, in part, a long reply to the frequent requests we have had for references on differential geometry! While we have not gone beyond the path-breaking work of Amari and Barndorff- Nielsen in the realm of applications, our book gives some new explanations of their ideas from a first principles point of view as far as geometry is concerned. In particular it seeks to explain why geometry should enter into parametric statistics, and how the theory of asymptotic expansions involves a form of higher-order differential geometry. The first chapter of the book explores exponential families as flat geometries. Indeed the whole notion of using log-likelihoods amounts to exploiting a particular form of flat space known as an affine geometry, in which straight lines and planes make sense, but lengths and angles are absent. We use these geometric ideas to introduce the notion of the second fundamental form of a family whose vanishing characterises precisely the exponential families.

Geometric Modeling in Probability and Statistics

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Publisher : Springer
ISBN 13 : 3319077791
Total Pages : 375 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Geometric Modeling in Probability and Statistics by : Ovidiu Calin

Download or read book Geometric Modeling in Probability and Statistics written by Ovidiu Calin and published by Springer. This book was released on 2014-07-17 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers topics of Informational Geometry, a field which deals with the differential geometric study of the manifold probability density functions. This is a field that is increasingly attracting the interest of researchers from many different areas of science, including mathematics, statistics, geometry, computer science, signal processing, physics and neuroscience. It is the authors’ hope that the present book will be a valuable reference for researchers and graduate students in one of the aforementioned fields. This textbook is a unified presentation of differential geometry and probability theory, and constitutes a text for a course directed at graduate or advanced undergraduate students interested in applications of differential geometry in probability and statistics. The book contains over 100 proposed exercises meant to help students deepen their understanding, and it is accompanied by software that is able to provide numerical computations of several information geometric objects. The reader will understand a flourishing field of mathematics in which very few books have been written so far.

Analysis, Geometry, and Modeling in Finance

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Publisher : CRC Press
ISBN 13 : 1420087002
Total Pages : 403 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Analysis, Geometry, and Modeling in Finance by : Pierre Henry-Labordere

Download or read book Analysis, Geometry, and Modeling in Finance written by Pierre Henry-Labordere and published by CRC Press. This book was released on 2008-09-22 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Fractals in Probability and Analysis

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Publisher : Cambridge University Press
ISBN 13 : 1107134110
Total Pages : 415 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Fractals in Probability and Analysis by : Christopher J. Bishop

Download or read book Fractals in Probability and Analysis written by Christopher J. Bishop and published by Cambridge University Press. This book was released on 2017 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: A mathematically rigorous introduction to fractals, emphasizing examples and fundamental ideas while minimizing technicalities.

Analysis, Geometry, and Probability

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Publisher :
ISBN 13 : 9780824474195
Total Pages : 0 pages
Book Rating : 4.4/5 (741 download)

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Book Synopsis Analysis, Geometry, and Probability by : R. Chuaqui

Download or read book Analysis, Geometry, and Probability written by R. Chuaqui and published by . This book was released on 1985 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fourier Analysis in Convex Geometry

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Publisher : American Mathematical Soc.
ISBN 13 : 1470419521
Total Pages : 170 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Fourier Analysis in Convex Geometry by : Alexander Koldobsky

Download or read book Fourier Analysis in Convex Geometry written by Alexander Koldobsky and published by American Mathematical Soc.. This book was released on 2014-11-12 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of the geometry of convex bodies based on information about sections and projections of these bodies has important applications in many areas of mathematics and science. In this book, a new Fourier analysis approach is discussed. The idea is to express certain geometric properties of bodies in terms of Fourier analysis and to use harmonic analysis methods to solve geometric problems. One of the results discussed in the book is Ball's theorem, establishing the exact upper bound for the -dimensional volume of hyperplane sections of the -dimensional unit cube (it is for each ). Another is the Busemann-Petty problem: if and are two convex origin-symmetric -dimensional bodies and the -dimensional volume of each central hyperplane section of is less than the -dimensional volume of the corresponding section of , is it true that the -dimensional volume of is less than the volume of ? (The answer is positive for and negative for .) The book is suitable for graduate students and researchers interested in geometry, harmonic and functional analysis, and probability. Prerequisites for reading this book include basic real, complex, and functional analysis.

Integral Geometry and Geometric Probability

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Publisher : Cambridge University Press
ISBN 13 : 0521523443
Total Pages : 426 pages
Book Rating : 4.5/5 (215 download)

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Book Synopsis Integral Geometry and Geometric Probability by : Luis A. Santaló

Download or read book Integral Geometry and Geometric Probability written by Luis A. Santaló and published by Cambridge University Press. This book was released on 2004-10-28 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classic text on integral geometry now available in paperback in the Cambridge Mathematical Library.

Analysis and Geometry on Groups

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Publisher : Cambridge University Press
ISBN 13 : 9780521353823
Total Pages : 172 pages
Book Rating : 4.3/5 (538 download)

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Book Synopsis Analysis and Geometry on Groups by : Nicholas T. Varopoulos

Download or read book Analysis and Geometry on Groups written by Nicholas T. Varopoulos and published by Cambridge University Press. This book was released on 1993-01-07 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Convexity and Concentration

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Publisher : Springer
ISBN 13 : 1493970054
Total Pages : 626 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Convexity and Concentration by : Eric Carlen

Download or read book Convexity and Concentration written by Eric Carlen and published by Springer. This book was released on 2017-04-20 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents some of the research topics discussed at the 2014-2015 Annual Thematic Program Discrete Structures: Analysis and Applications at the Institute of Mathematics and its Applications during the Spring 2015 where geometric analysis, convex geometry and concentration phenomena were the focus. Leading experts have written surveys of research problems, making state of the art results more conveniently and widely available. The volume is organized into two parts. Part I contains those contributions that focus primarily on problems motivated by probability theory, while Part II contains those contributions that focus primarily on problems motivated by convex geometry and geometric analysis. This book will be of use to those who research convex geometry, geometric analysis and probability directly or apply such methods in other fields.

Geometric Modeling in Probability and Statistics

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Publisher :
ISBN 13 : 9783319077802
Total Pages : 400 pages
Book Rating : 4.0/5 (778 download)

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Book Synopsis Geometric Modeling in Probability and Statistics by : Ovidiu Calin

Download or read book Geometric Modeling in Probability and Statistics written by Ovidiu Calin and published by . This book was released on 2014-08-31 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Geometric Probability

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Author :
Publisher : SIAM
ISBN 13 : 0898710251
Total Pages : 180 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Geometric Probability by : Herbert Solomon

Download or read book Geometric Probability written by Herbert Solomon and published by SIAM. This book was released on 1978-06-01 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topics include: ways modern statistical procedures can yield estimates of pi more precisely than the original Buffon procedure traditionally used; the question of density and measure for random geometric elements that leave probability and expectation statements invariant under translation and rotation; and much more.

Differential Geometry of Varieties with Degenerate Gauss Maps

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Publisher : Springer Science & Business Media
ISBN 13 : 0387215115
Total Pages : 272 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Differential Geometry of Varieties with Degenerate Gauss Maps by : Maks A. Akivis

Download or read book Differential Geometry of Varieties with Degenerate Gauss Maps written by Maks A. Akivis and published by Springer Science & Business Media. This book was released on 2006-04-18 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book surveys the differential geometry of varieties with degenerate Gauss maps, using moving frames and exterior differential forms as well as tensor methods. The authors illustrate the structure of varieties with degenerate Gauss maps, determine the singular points and singular varieties, find focal images and construct a classification of the varieties with degenerate Gauss maps.

Convex Geometric Analysis

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Publisher : Cambridge University Press
ISBN 13 : 9780521642590
Total Pages : 260 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Convex Geometric Analysis by : Keith M. Ball

Download or read book Convex Geometric Analysis written by Keith M. Ball and published by Cambridge University Press. This book was released on 1999-01-28 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Articles on classical convex geometry, geometric functional analysis, computational geometry, and related areas of harmonic analysis, first published in 1999.

High-Dimensional Probability

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Publisher : Cambridge University Press
ISBN 13 : 1108415199
Total Pages : 299 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis High-Dimensional Probability by : Roman Vershynin

Download or read book High-Dimensional Probability written by Roman Vershynin and published by Cambridge University Press. This book was released on 2018-09-27 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: An integrated package of powerful probabilistic tools and key applications in modern mathematical data science.