Miscellaneous
@Miscellaneous
Verschiedenes


Show entries of:

this year (2019) | last year (2018) | two years ago (2017) | Notes URL

Action:

login to update

Options:









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:


Download
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
Show details for Edit History (please click the blue arrow to see the details)Edit History (please click the blue arrow to see the details)
Hide details for Edit History (please click the blue arrow to see the details)Edit History (please click the blue arrow to see the details)

Editor(s)
Christine Kiesel
Created
03/09/2007 09:58:21 AM
Revisions
4.
3.
2.
1.
0.
Editor(s)
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
Show details for Attachment SectionAttachment Section
Hide details for Attachment SectionAttachment Section
http://arxiv.org/PS_cache/math/pdf/0602/0602300.pdf