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  Deterministic Random Walks

Cooper, J., Doerr, B., Spencer, J., & Tardos, G. (2006). Deterministic Random Walks. In Proceedings of the Eighth Workshop on Algorithm Engineering and Experiments and the Third Workshop on Analytic Algorithmics and Combinatorics (ALENEX'06 / ANALCO'06) (pp. 185-197). Philadelphia, PA, USA: SIAM.

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 Urheber:
Cooper, Joshua, Autor
Doerr, Benjamin1, Autor           
Spencer, Joel, Autor
Tardos, Gábor, Autor
Raman, Rajeev1, Herausgeber           
Sedwgewick, Robert, Herausgeber
Stallmann, Matthias F., Herausgeber
Affiliations:
1Algorithms and Complexity, MPI for Informatics, Max Planck Society, ou_24019              

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Schlagwörter: -
 Zusammenfassung: Jim Propp’s P-machine, also known as ‘rotor router model’ is a simple deterministic process that simulates 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(log L) (instead of 2.29L), for the L2 average of a contiguous set of intervals even to O(√log L). It seems plausible that similar results hold for higher-dimensional grids Zd instead of the path Z.

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Sprache(n): eng - English
 Datum: 2007-04-262006
 Publikationsstatus: Erschienen
 Seiten: -
 Ort, Verlag, Ausgabe: Philadelphia, PA, USA : SIAM
 Inhaltsverzeichnis: -
 Art der Begutachtung: -
 Identifikatoren: eDoc: 314458
Anderer: Local-ID: C1256428004B93B8-DC59A2F138682FFAC1257299003BF463-DoerrANALCO06
 Art des Abschluß: -

Veranstaltung

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Titel: Untitled Event
Veranstaltungsort: Miami, FL, USA
Start-/Enddatum: 2007-03-09

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Titel: Proceedings of the Eighth Workshop on Algorithm Engineering and Experiments and the Third Workshop on Analytic Algorithmics and Combinatorics (ALENEX'06 / ANALCO'06)
Genre der Quelle: Konferenzband
 Urheber:
Affiliations:
Ort, Verlag, Ausgabe: Philadelphia, PA, USA : SIAM
Seiten: - Band / Heft: - Artikelnummer: - Start- / Endseite: 185 - 197 Identifikator: ISBN: 0898716101