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Author
Author(s):
Cooper, Joshua
Doerr, Benjamin
Spencer, Joel
Tardos, Gabor		dblp
dblp
dblp
dblp
Not MPG Author(s):
Cooper, Joshua
Spencer, Joel
Tardos, Gabor

BibTeX citekey*:

CDoerrSP2006

Language:

English

Title, Howpublished

Title*:

Deterministic Random Walks on the Integers

Howpublished:

Internet

Vol, No, pp., Year

Month:


Year:

2006

ISBN:


Pages:

1-27

Abstract, Links, ©

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 c_1, which is approximately 2.29. For intervals of length L, this improves to a difference of O(log L), for the L_2 average of a contiguous set of intervals even to O(sqrt{log L}). All these bounds are tight.

Categories / Keywords:


HyperLinks / References / URLs:


Personal Comments:

URL Abstract:
http://arxiv.org/abs/math/0602300

File Upload:


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Access Level:

Public

Correlation
MPG Unit:
Max-Planck-Institut für Informatik
MPG Subunit:
Algorithms and Complexity Group
Audience:
Expert
Appearance:


BibTeX Entry:
@MISC{CDoerrSP2006,
AUTHOR = {Cooper, Joshua and Doerr, Benjamin and Spencer, Joel and Tardos, Gabor},
 TITLE = {Deterministic Random Walks on the Integers},
 JOURNAL = {???},
 HOWPUBLISHED = {Internet},
 YEAR = {2006},
 NUMBER = {?},
 VOLUME = {?},
 PAGES = {1--27},
}

Entry last modified by Uwe Brahm, 04/27/2007
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Editor(s)
Christine Kiesel		Created
03/09/2007 09:58:21
Revisions
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Uwe Brahm
Christine Kiesel
Christine Kiesel
Christine Kiesel
Christine Kiesel		Edit Dates
04/27/2007 09:00:25 AM
03.04.2007 11:52:13
16.03.2007 21:40:05
09.03.2007 10:18:24
09.03.2007 10:16:21
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http://arxiv.org/PS_cache/math/pdf/0602/0602300.pdf