Skip to main content Accessibility help
×
Home
Hostname: page-component-cf9d5c678-cnwzk Total loading time: 0.217 Render date: 2021-07-27T12:30:16.384Z Has data issue: true Feature Flags: { "shouldUseShareProductTool": true, "shouldUseHypothesis": true, "isUnsiloEnabled": true, "metricsAbstractViews": false, "figures": true, "newCiteModal": false, "newCitedByModal": true, "newEcommerce": true, "newUsageEvents": true }

A semi-infinite random walk with discrete steps

Published online by Cambridge University Press:  24 October 2008

L. R. Shenton
Affiliation:
College of Technology Manchester I

Extract

1. A particle executes a random walk over the possible positions x = 0,1,2,…, its initial position being x = d ≥ 0. At the nth step it occupies the position x with probability pn (x | d)and is in the state (n, x). The transition from (n, x) to (n + 1, y) has the probability px, v given by

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1955

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

(1)Feller, W.An introduction to probability theory and its applications, vol. 1 (New York, 1950).Google Scholar
(2)Kac, Mark. Random walk and the theory of Brownian motion. Amer. math. Mon. 54 (1947), 369–91.CrossRefGoogle Scholar
(3)Lauwerier, H. A.A linear random walk with a barrier. Appl. sci. Res., Hague, B, 2 (1951), 294300.CrossRefGoogle Scholar
(4)Szegö, G.Orthogonal polynomials (Colloq. Publ. Amer. math. Soc. 1939).Google Scholar
(5)Uspensky, J. V.Introduction to mathematical probability (New York, 1937).Google Scholar
5
Cited by

Send article to Kindle

To send this article to your Kindle, first ensure no-reply@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle. Find out more about sending to your Kindle.

Note you can select to send to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be sent to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

A semi-infinite random walk with discrete steps
Available formats
×

Send article to Dropbox

To send this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your <service> account. Find out more about sending content to Dropbox.

A semi-infinite random walk with discrete steps
Available formats
×

Send article to Google Drive

To send this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your <service> account. Find out more about sending content to Google Drive.

A semi-infinite random walk with discrete steps
Available formats
×
×

Reply to: Submit a response

Please enter your response.

Your details

Please enter a valid email address.

Conflicting interests

Do you have any conflicting interests? *