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The Critical Length for Growing a Droplet
 
Paul Balister University of Oxford, Oxford, United Kingdom
Béla Bollobás University of Cambridge, Cambridge, United Kigdom and University of Memphis, Memphis, Tennessee
Robert Morris Instituto Nacional de Matemàtica Pura e Aplicada, Rio de Janeiro, Brazil
Paul Smith Unaffiliated scholar, London, United Kingdom
Softcover ISBN:  978-1-4704-7487-4
Product Code:  MEMO/310/1571
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-8189-6
Product Code:  MEMO/310/1571.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-7487-4
eBook: ISBN:  978-1-4704-8189-6
Product Code:  MEMO/310/1571.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
Click above image for expanded view
The Critical Length for Growing a Droplet
Paul Balister University of Oxford, Oxford, United Kingdom
Béla Bollobás University of Cambridge, Cambridge, United Kigdom and University of Memphis, Memphis, Tennessee
Robert Morris Instituto Nacional de Matemàtica Pura e Aplicada, Rio de Janeiro, Brazil
Paul Smith Unaffiliated scholar, London, United Kingdom
Softcover ISBN:  978-1-4704-7487-4
Product Code:  MEMO/310/1571
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-8189-6
Product Code:  MEMO/310/1571.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-7487-4
eBook ISBN:  978-1-4704-8189-6
Product Code:  MEMO/310/1571.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 3102025; 180 pp
    MSC: Primary 60

    View the abstract.

  • Table of Contents
     
     
    • Chapters
    • 1. Introduction
    • 2. The resistance of an update family
    • 3. The main theorem and an outline of the proof
    • 4. Locally inherited resistance
    • 5. Finding a rational direction in which to grow
    • 6. Construction of the quasistable set
    • 7. The resistance of induced update families
    • 8. Polytopes
    • 9. The bootstrap process in a polytope
    • 10. Interiors, extensions, buffers, and growth sequences
    • 11. Deterministic growth of droplets
    • 12. The proof of Theorem
    • A. Properties of canonical polytopes
    • B. The distance between faces of a polytope
    • C. Interiors and extensions
    • D. Some technical details from Chapters and
    • E. Perfectly covering a polytope with smaller polytopes
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 3102025; 180 pp
MSC: Primary 60

View the abstract.

  • Chapters
  • 1. Introduction
  • 2. The resistance of an update family
  • 3. The main theorem and an outline of the proof
  • 4. Locally inherited resistance
  • 5. Finding a rational direction in which to grow
  • 6. Construction of the quasistable set
  • 7. The resistance of induced update families
  • 8. Polytopes
  • 9. The bootstrap process in a polytope
  • 10. Interiors, extensions, buffers, and growth sequences
  • 11. Deterministic growth of droplets
  • 12. The proof of Theorem
  • A. Properties of canonical polytopes
  • B. The distance between faces of a polytope
  • C. Interiors and extensions
  • D. Some technical details from Chapters and
  • E. Perfectly covering a polytope with smaller polytopes
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.