Random Sets and Integral Geometry

Random Sets and Integral Geometry

Author: Georges Matheron

Publisher: John Wiley & Sons

Published: 1974

Total Pages: 294

ISBN-13:

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Book Synopsis Random Sets and Integral Geometry by : Georges Matheron

Download or read book Random Sets and Integral Geometry written by Georges Matheron and published by John Wiley & Sons. This book was released on 1974 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Stochastic and Integral Geometry

Stochastic and Integral Geometry

Author: Rolf Schneider

Publisher: Springer Science & Business Media

Published: 2008-09-08

Total Pages: 692

ISBN-13: 354078859X

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Stochastic geometry deals with models for random geometric structures. Its early beginnings are found in playful geometric probability questions, and it has vigorously developed during recent decades, when an increasing number of real-world applications in various sciences required solid mathematical foundations. Integral geometry studies geometric mean values with respect to invariant measures and is, therefore, the appropriate tool for the investigation of random geometric structures that exhibit invariance under translations or motions. Stochastic and Integral Geometry provides the mathematically oriented reader with a rigorous and detailed introduction to the basic stationary models used in stochastic geometry – random sets, point processes, random mosaics – and to the integral geometry that is needed for their investigation. The interplay between both disciplines is demonstrated by various fundamental results. A chapter on selected problems about geometric probabilities and an outlook to non-stationary models are included, and much additional information is given in the section notes.


Book Synopsis Stochastic and Integral Geometry by : Rolf Schneider

Download or read book Stochastic and Integral Geometry written by Rolf Schneider and published by Springer Science & Business Media. This book was released on 2008-09-08 with total page 692 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic geometry deals with models for random geometric structures. Its early beginnings are found in playful geometric probability questions, and it has vigorously developed during recent decades, when an increasing number of real-world applications in various sciences required solid mathematical foundations. Integral geometry studies geometric mean values with respect to invariant measures and is, therefore, the appropriate tool for the investigation of random geometric structures that exhibit invariance under translations or motions. Stochastic and Integral Geometry provides the mathematically oriented reader with a rigorous and detailed introduction to the basic stationary models used in stochastic geometry – random sets, point processes, random mosaics – and to the integral geometry that is needed for their investigation. The interplay between both disciplines is demonstrated by various fundamental results. A chapter on selected problems about geometric probabilities and an outlook to non-stationary models are included, and much additional information is given in the section notes.


Theory of Random Sets

Theory of Random Sets

Author: Ilya Molchanov

Publisher: Springer Science & Business Media

Published: 2005-05-11

Total Pages: 508

ISBN-13: 9781852338923

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This is the first systematic exposition of random sets theory since Matheron (1975), with full proofs, exhaustive bibliographies and literature notes Interdisciplinary connections and applications of random sets are emphasized throughout the book An extensive bibliography in the book is available on the Web at http://liinwww.ira.uka.de/bibliography/math/random.closed.sets.html, and is accompanied by a search engine


Book Synopsis Theory of Random Sets by : Ilya Molchanov

Download or read book Theory of Random Sets written by Ilya Molchanov and published by Springer Science & Business Media. This book was released on 2005-05-11 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first systematic exposition of random sets theory since Matheron (1975), with full proofs, exhaustive bibliographies and literature notes Interdisciplinary connections and applications of random sets are emphasized throughout the book An extensive bibliography in the book is available on the Web at http://liinwww.ira.uka.de/bibliography/math/random.closed.sets.html, and is accompanied by a search engine


Integral Geometry and Geometric Probability

Integral Geometry and Geometric Probability

Author: Luis A. Santaló

Publisher: Cambridge University Press

Published: 2004-10-28

Total Pages: 426

ISBN-13: 0521523443

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Classic text on integral geometry now available in paperback in the Cambridge Mathematical Library.


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.


Random Fields and Geometry

Random Fields and Geometry

Author: R. J. Adler

Publisher: Springer Science & Business Media

Published: 2009-01-29

Total Pages: 455

ISBN-13: 0387481168

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This monograph is devoted to a completely new approach to geometric problems arising in the study of random fields. The groundbreaking material in Part III, for which the background is carefully prepared in Parts I and II, is of both theoretical and practical importance, and striking in the way in which problems arising in geometry and probability are beautifully intertwined. "Random Fields and Geometry" will be useful for probabilists and statisticians, and for theoretical and applied mathematicians who wish to learn about new relationships between geometry and probability. It will be helpful for graduate students in a classroom setting, or for self-study. Finally, this text will serve as a basic reference for all those interested in the companion volume of the applications of the theory.


Book Synopsis Random Fields and Geometry by : R. J. Adler

Download or read book Random Fields and Geometry written by R. J. Adler and published by Springer Science & Business Media. This book was released on 2009-01-29 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is devoted to a completely new approach to geometric problems arising in the study of random fields. The groundbreaking material in Part III, for which the background is carefully prepared in Parts I and II, is of both theoretical and practical importance, and striking in the way in which problems arising in geometry and probability are beautifully intertwined. "Random Fields and Geometry" will be useful for probabilists and statisticians, and for theoretical and applied mathematicians who wish to learn about new relationships between geometry and probability. It will be helpful for graduate students in a classroom setting, or for self-study. Finally, this text will serve as a basic reference for all those interested in the companion volume of the applications of the theory.


Advances In Theory And Applications Of Random Sets: Proceedings Of The Symposium

Advances In Theory And Applications Of Random Sets: Proceedings Of The Symposium

Author: Dominique Jeulin

Publisher: World Scientific

Published: 1997-01-16

Total Pages: 338

ISBN-13: 9814546658

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This volume covers topics ranging from pure and applied mathematics to pedagogical issues in mathematics. There are papers in mathematical biology, differential equations, difference equations, dynamical systems, orthogonal polynomials, topology, calculus reform, algebra, and numerical analysis. Most of the papers include new, interesting results that are at the cutting edge of the respective subjects. However, there are some papers of an expository nature.


Book Synopsis Advances In Theory And Applications Of Random Sets: Proceedings Of The Symposium by : Dominique Jeulin

Download or read book Advances In Theory And Applications Of Random Sets: Proceedings Of The Symposium written by Dominique Jeulin and published by World Scientific. This book was released on 1997-01-16 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume covers topics ranging from pure and applied mathematics to pedagogical issues in mathematics. There are papers in mathematical biology, differential equations, difference equations, dynamical systems, orthogonal polynomials, topology, calculus reform, algebra, and numerical analysis. Most of the papers include new, interesting results that are at the cutting edge of the respective subjects. However, there are some papers of an expository nature.


Random Sets

Random Sets

Author: John Goutsias

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 417

ISBN-13: 1461219426

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This IMA Volume in Mathematics and its Applications RANDOM SETS: THEORY AND APPLICATIONS is based on the proceedings of a very successful 1996 three-day Summer Program on "Application and Theory of Random Sets." We would like to thank the scientific organizers: John Goutsias (Johns Hopkins University), Ronald P.S. Mahler (Lockheed Martin), and Hung T. Nguyen (New Mexico State University) for their excellent work as organizers of the meeting and for editing the proceedings. We also take this opportunity to thank the Army Research Office (ARO), the Office ofNaval Research (0NR), and the Eagan, MinnesotaEngineering Center ofLockheed Martin Tactical Defense Systems, whose financial support made the summer program possible. Avner Friedman Robert Gulliver v PREFACE "Later generations will regard set theory as a disease from which one has recovered. " - Henri Poincare Random set theory was independently conceived by D.G. Kendall and G. Matheron in connection with stochastic geometry. It was however G.


Book Synopsis Random Sets by : John Goutsias

Download or read book Random Sets written by John Goutsias and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: This IMA Volume in Mathematics and its Applications RANDOM SETS: THEORY AND APPLICATIONS is based on the proceedings of a very successful 1996 three-day Summer Program on "Application and Theory of Random Sets." We would like to thank the scientific organizers: John Goutsias (Johns Hopkins University), Ronald P.S. Mahler (Lockheed Martin), and Hung T. Nguyen (New Mexico State University) for their excellent work as organizers of the meeting and for editing the proceedings. We also take this opportunity to thank the Army Research Office (ARO), the Office ofNaval Research (0NR), and the Eagan, MinnesotaEngineering Center ofLockheed Martin Tactical Defense Systems, whose financial support made the summer program possible. Avner Friedman Robert Gulliver v PREFACE "Later generations will regard set theory as a disease from which one has recovered. " - Henri Poincare Random set theory was independently conceived by D.G. Kendall and G. Matheron in connection with stochastic geometry. It was however G.


The Geometry of Random Fields

The Geometry of Random Fields

Author: Robert J. Adler

Publisher: SIAM

Published: 2010-01-28

Total Pages: 295

ISBN-13: 0898716934

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An important treatment of the geometric properties of sets generated by random fields, including a comprehensive treatment of the mathematical basics of random fields in general. It is a standard reference for all researchers with an interest in random fields, whether they be theoreticians or come from applied areas.


Book Synopsis The Geometry of Random Fields by : Robert J. Adler

Download or read book The Geometry of Random Fields written by Robert J. Adler and published by SIAM. This book was released on 2010-01-28 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: An important treatment of the geometric properties of sets generated by random fields, including a comprehensive treatment of the mathematical basics of random fields in general. It is a standard reference for all researchers with an interest in random fields, whether they be theoreticians or come from applied areas.


Stochastic and Integral Geometry

Stochastic and Integral Geometry

Author: R.V. Ambartzumian

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 135

ISBN-13: 9400939213

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Book Synopsis Stochastic and Integral Geometry by : R.V. Ambartzumian

Download or read book Stochastic and Integral Geometry written by R.V. Ambartzumian and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Integral Geometry and Geometric Probability

Integral Geometry and Geometric Probability

Author: Luis Antonio Santaló

Publisher:

Published: 1976

Total Pages: 438

ISBN-13:

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Book Synopsis Integral Geometry and Geometric Probability by : Luis Antonio Santaló

Download or read book Integral Geometry and Geometric Probability written by Luis Antonio Santaló and published by . This book was released on 1976 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: