Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
Share this page via the icons above, or by copying the link below:
Copy To Clipboard
Successfully Copied!
Random Growth Models
 
Edited by: Michael Damron Georgia Institute of Technology, Atlanta, GA
Firas Rassoul-Agha University of Utah, Salt Lake City, UT
Timo Seppäläinen University of Wisconsin, Madison, WI
Random Growth Models
Hardcover ISBN:  978-1-4704-3553-0
Product Code:  PSAPM/75
List Price: $129.00
MAA Member Price: $116.10
AMS Member Price: $103.20
eBook ISBN:  978-1-4704-4907-0
Product Code:  PSAPM/75.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Hardcover ISBN:  978-1-4704-3553-0
eBook: ISBN:  978-1-4704-4907-0
Product Code:  PSAPM/75.B
List Price: $254.00 $191.50
MAA Member Price: $228.60 $172.35
AMS Member Price: $203.20 $153.20
Random Growth Models
Click above image for expanded view
Random Growth Models
Edited by: Michael Damron Georgia Institute of Technology, Atlanta, GA
Firas Rassoul-Agha University of Utah, Salt Lake City, UT
Timo Seppäläinen University of Wisconsin, Madison, WI
Hardcover ISBN:  978-1-4704-3553-0
Product Code:  PSAPM/75
List Price: $129.00
MAA Member Price: $116.10
AMS Member Price: $103.20
eBook ISBN:  978-1-4704-4907-0
Product Code:  PSAPM/75.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Hardcover ISBN:  978-1-4704-3553-0
eBook ISBN:  978-1-4704-4907-0
Product Code:  PSAPM/75.B
List Price: $254.00 $191.50
MAA Member Price: $228.60 $172.35
AMS Member Price: $203.20 $153.20
  • Book Details
     
     
    Proceedings of Symposia in Applied Mathematics
    Volume: 752018; 256 pp
    MSC: Primary 60; 82;

    The study of random growth models began in probability theory about 50 years ago, and today this area occupies a central place in the subject. The considerable challenges posed by these models have spurred the development of innovative probability theory and opened up connections with several other parts of mathematics, such as partial differential equations, integrable systems, and combinatorics. These models also have applications to fields such as computer science, biology, and physics.

    This volume is based on lectures delivered at the 2017 AMS Short Course “Random Growth Models”, held January 2–3, 2017 in Atlanta, GA.

    The articles in this book give an introduction to the most-studied models; namely, first- and last-passage percolation, the Eden model of cell growth, and particle systems, focusing on the main research questions and leading up to the celebrated Kardar-Parisi-Zhang equation. Topics covered include asymptotic properties of infection times, limiting shape results, fluctuation bounds, and geometrical properties of geodesics, which are optimal paths for growth.

    Readership

    Graduate Students and researchers interested in various models of random growth in percolation theory, cell growth, and particle systems.

  • Table of Contents
     
     
    • Articles
    • Michael Damron — Random growth models: Shape and convergence rate
    • Jack Hanson — Infinite geodesics, asymptotic directions, and Busemann functions in first-passage percolation
    • Philippe Sosoe — Fluctuations in first-passage percolation
    • Firas Rassoul-Agha — Busemann functions, geodesics, and the competition interface for directed last-passage percolation
    • Timo Seppäläinen — The corner growth model with exponential weights
    • Ivan Corwin — Exactly solving the KPZ equation
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 752018; 256 pp
MSC: Primary 60; 82;

The study of random growth models began in probability theory about 50 years ago, and today this area occupies a central place in the subject. The considerable challenges posed by these models have spurred the development of innovative probability theory and opened up connections with several other parts of mathematics, such as partial differential equations, integrable systems, and combinatorics. These models also have applications to fields such as computer science, biology, and physics.

This volume is based on lectures delivered at the 2017 AMS Short Course “Random Growth Models”, held January 2–3, 2017 in Atlanta, GA.

The articles in this book give an introduction to the most-studied models; namely, first- and last-passage percolation, the Eden model of cell growth, and particle systems, focusing on the main research questions and leading up to the celebrated Kardar-Parisi-Zhang equation. Topics covered include asymptotic properties of infection times, limiting shape results, fluctuation bounds, and geometrical properties of geodesics, which are optimal paths for growth.

Readership

Graduate Students and researchers interested in various models of random growth in percolation theory, cell growth, and particle systems.

  • Articles
  • Michael Damron — Random growth models: Shape and convergence rate
  • Jack Hanson — Infinite geodesics, asymptotic directions, and Busemann functions in first-passage percolation
  • Philippe Sosoe — Fluctuations in first-passage percolation
  • Firas Rassoul-Agha — Busemann functions, geodesics, and the competition interface for directed last-passage percolation
  • Timo Seppäläinen — The corner growth model with exponential weights
  • Ivan Corwin — Exactly solving the KPZ equation
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
You may be interested in...
Please select which format for which you are requesting permissions.