Download this PDF file Fullscreen Fullscreen Off
References
- Angel, Omer; Holroyd, Alexander E. Rotor walks on general trees. SIAM J. Discrete Math. 25 (2011), no. 1, 423--446. MR2801237
- Bak, Per; Tang, Chao; Wiesenfeld, Kurt. Self-organized criticality. Phys. Rev. A (3) 38 (1988), no. 1, 364--374. MR0949160
- Cooper, Joshua; Doerr, Benjamin; Spencer, Joel; Tardos, Garbor. Deterministic random walks. Proceedings of the Eighth Workshop on Algorithm Engineering and Experiments and the Third Workshop on Analytic Algorithmics and Combinatorics, 185--197, SIAM, Philadelphia, PA, 2006. MR2498151
- Cooper, Joshua N.; Spencer, Joel. Simulating a random walk with constant error. Combin. Probab. Comput. 15 (2006), no. 6, 815--822. MR2271828
- Doerr, Benjamin; Friedrich, Tobias. Deterministic random walks on the two-dimensional grid. Algorithms and computation, 474--483, Lecture Notes in Comput. Sci., 4288, Springer, Berlin, 2006. MR2296129
- Giacaglia, Giuliano Pezzolo; Levine, Lionel; Propp, James; Zayas-Palmer, Linda. Local-to-global principles for the hitting sequence of a rotor walk. Electron. J. Combin. 19 (2012), no. 1, P5, 23 pp. MR2880636
- Gilch, Lorenz A.; Müller, Sebastian. Random walks on directed covers of graphs. J. Theoret. Probab. 24 (2011), no. 1, 118--149. MR2782713
- Harris, Theodore E. The theory of branching processes. Die Grundlehren der Mathematischen Wissenschaften, Bd. 119 Springer-Verlag, Berlin; Prentice-Hall, Inc., Englewood Cliffs, N.J. 1963 xiv+230 pp. MR0163361
- Holroyd, Alexander E.; Propp, James. Rotor walks and Markov chains. Algorithmic probability and combinatorics, 105--126, Contemp. Math., 520, Amer. Math. Soc., Providence, RI, 2010. MR2681857
- Huss, Wilfried; Sava, Ecaterina. Rotor-router aggregation on the comb. Electron. J. Combin. 18 (2011), no. 1, P224, 23 pp. MR2861403
- Huss, Wilfried; Sava, Ecaterina. The rotor-router group of directed covers of graphs, Electron. J. Combin. 19 (2012), no. 3, P30.
- Landau, Itamar; Levine, Lionel. The rotor-router model on regular trees. J. Combin. Theory Ser. A 116 (2009), no. 2, 421--433. MR2475025
- R. Lyons and Y. Peres, Probabilty on trees and networks, preprint.
- Lyons, Russell. Random walks and percolation on trees. Ann. Probab. 18 (1990), no. 3, 931--958. MR1062053
- Nagnibeda, Tatiana; Woess, Wolfgang. Random walks on trees with finitely many cone types. J. Theoret. Probab. 15 (2002), no. 2, 383--422. MR1898814
- V. B. Priezzhev, Deepak Dhar, Abhishek Dhar, and Supriya Krishnamurthy, Eulerian walkers as a model of self-organized criticality, Phys. Rev. Lett. 77 (1996), no. 25, 5079--5082.
- Takacs, Christiane. Random walk on periodic trees. Electron. J. Probab. 2 (1997), no. 1, 1--16 (electronic). MR1436761

This work is licensed under a Creative Commons Attribution 3.0 License.