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Author, Editor(s)

Author(s):

Cooper, Joshua
Doerr, Benjamin
Spencer, Joel
Tardos, Gábor

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Not MPG Author(s):

Cooper, Joshua
Spencer, Joel
Tardos, Gábor

BibTeX cite key*:

CDoerrST2007

Title

Title*:

Deterministic random walks on the integers

Journal

Journal Title*:

European Journal of Combinatorics

Journal's URL:


Download URL
for the article:


Language:

English

Publisher

Publisher's
Name:

Elsevier

Publisher's URL:


Publisher's
Address:

Amsterdam, The Netherlands

ISSN:

0195-6698

Vol, No, pp, Date

Volume*:

28

Number:

8

Publishing Date:

2007

Pages*:

2072-2090

Number of
VG Pages:


Page Start:

2072

Page End:

2090

Sequence Number:


DOI:

10.1016/j.ejc.2007.04.018

Note, Abstract, ©

Note:


(LaTeX) Abstract:

Jim Propp’s P-machine, also known as the ‘rotor router model’, is a simple deterministic process that simulates a random walk on a graph. Instead of distributing chips to randomly chosen neighbors, it serves the neighbors in a fixed order.
We investigate how well this process simulates a random walk. For the graph being the infinite path, we show that, independent of the starting configuration, at each time and on each vertex, the number of chips on this vertex deviates from the expected number of chips in the random walk model by at most a constant c1, which is approximately 2.29. For intervals of length L, this improves to a difference of O(logL), for the L2 average of a contiguous set of intervals even to . All these bounds are tight.

URL for the Abstract:

http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6WDY-4NKXWD5-1&_user=43521&_coverDate=04%2F29%2F2007&_rdoc=1&_fmt=&_orig=search&_sort=d&view=c&_acct=C000004638&_version=1&_urlVersion=0&_userid=43521&md5=77c591d5c071a241639d1586f96b4b11

Categories,
Keywords:


HyperLinks / References / URLs:


Copyright Message:


Personal Comments:


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Access Level:

Internal

Correlation

MPG Unit:

Max-Planck-Institut für Informatik



MPG Subunit:

Algorithms and Complexity Group

Appearance:

MPII WWW Server, MPII FTP Server, MPG publications list, university publications list, working group publication list, Fachbeirat, VG Wort


BibTeX Entry:

@ARTICLE{CDoerrST2007,
AUTHOR = {Cooper, Joshua and Doerr, Benjamin and Spencer, Joel and Tardos, G{\'a}bor},
TITLE = {Deterministic random walks on the integers},
JOURNAL = {European Journal of Combinatorics},
PUBLISHER = {Elsevier},
YEAR = {2007},
NUMBER = {8},
VOLUME = {28},
PAGES = {2072--2090},
ADDRESS = {Amsterdam, The Netherlands},
ISBN = {0195-6698},
DOI = {10.1016/j.ejc.2007.04.018},
}


Entry last modified by Anja Becker, 02/28/2008
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Editor(s)
Christine Kiesel
Created
06/26/2007 01:49:06 PM
Revisions
4.
3.
2.
1.
0.
Editor(s)
Anja Becker
Anja Becker
Benjamin Doerr
Uwe Brahm
Uwe Brahm
Edit Dates
22.02.2008 11:42:22
08.02.2008 13:43:30
01/19/2008 06:50:45 PM
2007-07-18 14:40:23
26.06.2007 14:19:00