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We develop rigorous, analytic techniques to study the behaviour of biased random walks on combs.
W. Feller, An introduction to probability theory and its applications , Vol.2, Wiley, London (1968)
1968
Earlier work this paper cites.
G. H. Weiss and S. Havlin, Some properties of a random walk on a comb structure , Physica 134A
1986
Earlier work this paper cites.
S. Havlin, A. Bunde, H. E. Stanley and D. Movsholvitz, Diffusion on percolation clusters with a bias in topological space: non-universal behaviour , J. Phys. A 19
1986
Earlier work this paper cites.
S. Havlin, A. Bunde, Y. Glaser and H. E. Stanley, Diffusion with a topological bias on random structures with a power-law distribution of dangling ends , Phys. Rev. A 34
1986
Earlier work this paper cites.
S. Havlin, J. E. Kiefer and G. H. Weiss, Anomalous diffusion on a random comblike structure , Phys. Rev. A 36
1987
Earlier work this paper cites.
C. Aslangul, P. Chvosta and N. Pottier, Analytic study of a model of diffusion on a random comblike structure , Physica A 203
1994
Earlier work this paper cites.
N. Pottier, Analytic study of a model of biased diffusion on a random comblike structure , Physica A 208
1994
Cited alongside, same era.
J. Ambjørn and Y. Watabiki, Scaling in quantum gravity,
1995
Cited alongside, same era.
V. Balakrishnan and C. Van den Broeck, Transport properties on a random comb , Physica A 217
1995
Cited alongside, same era.
N. Pottier, Diffusion on random comblike structures: field-induced trapping effects , Physica A 216
1995
Cited alongside, same era.
S. Revathi, V. Balakrishnan, S. Lakshmibala and K. P. N. Murthy, Validity of the mean-field approximation for diffusion on a random comb , Phys. Rev. E 54
1996
Cited alongside, same era.
J. Ambjørn, B. Durhuus and T. Jonsson, Quantum geometry: a statistical field theory approach , Cambridge University Press, Cambridge (1997)
D. ben-Avraham and S. Havlin, Diffusion and reactions in fractals and disordered systems , Cambridge University Press, Cambridge (2000)
2000
Later among the works it cites.
A. Grigoryan and T. Coulhon, Pointwise estimates for transition probabilities of random walks in infinite graphs , in: Trends in mathematics: Fractals in Graz 2001, Ed. P. Grabner and W. Woess. Birkhäueser (2002)
2002
Later among the works it cites.
J. Ambjørn, J. Jurkiewicz and R. Loll, Spectral dimension of the universe,
2005
Later among the works it cites.
B. Durhuus, T. Jonsson and J. F. Wheater, Random walks on combs , J. Phys. A 39
2006
Later among the works it cites.
B. Durhuus, T. Jonsson and J. F. Wheater, On the spectral dimension of generic trees , DMTCS proc. AG
2006
Later among the works it cites.
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1997
Cited alongside, same era.
B. Durhuus, T. Jonsson and J. F. Wheater, The spectral dimension of generic trees , math-ph/0607020
Cited in the paper.
T.M. Elliott, Oxford University D.Phil Thesis, in preparation
Cited in the paper.