Abstract
Monte Carlo methods are useful for getting statistical estimates on the values of the connective constant, critical exponents, and other quantities related to self-avoiding walks. Essentially, a Monte Carlo simulation is a computer experiment which observes random versions of a particular system. After we obtain enough data, we can use statistical techniques to get estimates and confidence intervals for the desired quantities.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer Science+Business Media New York
About this chapter
Cite this chapter
Madras, N., Slade, G. (2013). Analysis of Monte Carlo methods. In: The Self-Avoiding Walk. Modern Birkhäuser Classics. Birkhäuser, New York, NY. https://doi.org/10.1007/978-1-4614-6025-1_9
Download citation
DOI: https://doi.org/10.1007/978-1-4614-6025-1_9
Published:
Publisher Name: Birkhäuser, New York, NY
Print ISBN: 978-1-4614-6024-4
Online ISBN: 978-1-4614-6025-1
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)