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Geometry, Analysis and Probability

2017-04-26 Mathematics
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Release : 2017-04-26
Genre : Mathematics
Kind : eBook
Book Rating : 387/5 ( reviews)

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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. This book was released on 2017-04-26. 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.

Geometry, Analysis and Probability

2017 Distribution (Probability theory)
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Release : 2017
Genre : Distribution (Probability theory)
Kind : eBook
Book Rating : 375/5 ( reviews)

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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. This book was released on 2017. Available in PDF, EPUB and Kindle. Book excerpt:

Geometric Modeling in Probability and Statistics

2014-07-17 Mathematics
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Release : 2014-07-17
Genre : Mathematics
Kind : eBook
Book Rating : 791/5 ( reviews)

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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. This book was released on 2014-07-17. 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 and Geometry on Groups

1993-01-07 Mathematics
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Release : 1993-01-07
Genre : Mathematics
Kind : eBook
Book Rating : 823/5 ( reviews)

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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. This book was released on 1993-01-07. 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.

Introduction to Geometric Probability

1997-12-11 Mathematics
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Release : 1997-12-11
Genre : Mathematics
Kind : eBook
Book Rating : 541/5 ( reviews)

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Book Synopsis Introduction to Geometric Probability by : Daniel A. Klain

Download or read book Introduction to Geometric Probability written by Daniel A. Klain. This book was released on 1997-12-11. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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