Description

Book Synopsis

Chapter 1. Prologue.- Part I. Introduction.- Chapter 2. Beta-type distributions: Key properties and first applications.- Chapter 3. Blaschke–Petkantschin formulas.- Part II. Beta-type simplices.- Chapter 4. Beta-type simplices and canonical decomposition of Ruben and Miles.- Chapter 5. Volumes of beta-type parallelotopes.- Chapter 6. Volumes of beta-type simplices.- Chapter 7. Alternative approaches to volumes of beta-type simplices.- Part III. Applications and further results.- Chapter 8. Facets and volumes of beta-type polytopes.- Chapter 9. Limit theorems for volumes of beta-type simplices.- Chapter 10. Properties of beta-type distributions on affine Grassmannians.

Random Simplices

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    A Paperback by Zakhar Kabluchko

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      Publisher: Springer
      Publication Date: 17/10/2025
      ISBN13: 9783032028631, 978-3032028631
      ISBN10:

      Description

      Book Synopsis

      Chapter 1. Prologue.- Part I. Introduction.- Chapter 2. Beta-type distributions: Key properties and first applications.- Chapter 3. Blaschke–Petkantschin formulas.- Part II. Beta-type simplices.- Chapter 4. Beta-type simplices and canonical decomposition of Ruben and Miles.- Chapter 5. Volumes of beta-type parallelotopes.- Chapter 6. Volumes of beta-type simplices.- Chapter 7. Alternative approaches to volumes of beta-type simplices.- Part III. Applications and further results.- Chapter 8. Facets and volumes of beta-type polytopes.- Chapter 9. Limit theorems for volumes of beta-type simplices.- Chapter 10. Properties of beta-type distributions on affine Grassmannians.

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