Deterministic Random Walks on the Integers

Joshua Cooper 1 Benjamin Doerr 2 Joel Spencer 1 Gábor Tardos 3
1 CIMS - Courant Institute of Mathematical Sciences [New York]
2 MPII - Max-Planck-Institut für Informatik
3 Alfréd Rényi Institute of Mathematics
Abstract : We analyze the one-dimensional version of Jim Propp's $P$-machine, a simple deterministic process that simulates a random walk on $\mathbb{Z}$. The "output'' of the machine is astonishingly close to the expected behavior of a random walk, even on long intervals of space and time.
Keywords : random walks chip firing games.
Type de document :
Communication dans un congrès
Stefan Felsner. 2005 European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05), 2005, Berlin, Germany. Discrete Mathematics and Theoretical Computer Science, DMTCS Proceedings vol. AE, European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05), pp.73-76, 2005, DMTCS Proceedings
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Joshua Cooper, Benjamin Doerr, Joel Spencer, Gábor Tardos. Deterministic Random Walks on the Integers. Stefan Felsner. 2005 European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05), 2005, Berlin, Germany. Discrete Mathematics and Theoretical Computer Science, DMTCS Proceedings vol. AE, European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05), pp.73-76, 2005, DMTCS Proceedings. 〈hal-01184393〉

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