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Critical Behavior of a Dilute Interacting Bose Fluid

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Transmission coefficient from generalized Cantor-like potentials and its multifractality

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Dynamics of Persistent Hole Burning in Organic Glassesand Its Fractal Interpretation

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Structure of clusters generated by random walks

S Havlin, G H Weiss, D Ben-Avraham and D Movshovitz
Journal of Physics A: Mathematical and General 17 (15) L849 (1984)
DOI: 10.1088/0305-4470/17/15/006
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Conductivity measurement on percolation fractal

A Palevski and G Deutscher
Journal of Physics A: Mathematical and General 17 (16) L895 (1984)
DOI: 10.1088/0305-4470/17/16/007
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Scaling relation for the critical exponents of the backbone of percolation clusters

M Sahimi
Journal of Physics A: Mathematical and General 17 (15) 3073 (1984)
DOI: 10.1088/0305-4470/17/15/025
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Random walks on hierarchical lattices at the percolation threshold

D C Hong
Journal of Physics A: Mathematical and General 17 (17) L929 (1984)
DOI: 10.1088/0305-4470/17/17/004
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Branched polymer approach to the structure of lattice animals and percolation clusters

S Alexander, G S Grest, H Nakanishi and T A Witten
Journal of Physics A: Mathematical and General 17 (4) L185 (1984)
DOI: 10.1088/0305-4470/17/4/006
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Novel dimension-independent behaviour for diffusive annihilation on percolation fractals

P Meakin and H E Stanley
Journal of Physics A: Mathematical and General 17 (4) L173 (1984)
DOI: 10.1088/0305-4470/17/4/004
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Superuniversal spectral dimension for dilute branched polymers?

M Sahimi and G R Jerauld
Journal of Physics A: Mathematical and General 17 (4) L165 (1984)
DOI: 10.1088/0305-4470/17/4/003
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Diffusion on lattice animals and percolation clusters: a renormalisation group approach

H Gould and R P Kohin
Journal of Physics A: Mathematical and General 17 (4) L159 (1984)
DOI: 10.1088/0305-4470/17/4/002
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Diffusion on random clusters and the parasite problem

S Wilke, Y Gefen, V Ilkovic, A Aharony and D Stauffer
Journal of Physics A: Mathematical and General 17 (3) 647 (1984)
DOI: 10.1088/0305-4470/17/3/026
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Self-avoiding walk model for proteins: a real space renormalisation group treatment

A Christou and R B Stinchcombe
Journal of Physics A: Mathematical and General 19 (6) L357 (1986)
DOI: 10.1088/0305-4470/19/6/011
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Geometrical arguments against the Alexander-Orbach conjecture for lattice animals and diffusion limited aggregates

F Family and A Coniglio
Journal of Physics A: Mathematical and General 17 (5) L285 (1984)
DOI: 10.1088/0305-4470/17/5/013
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On the spreading dimension of percolation and directed percolation clusters

J Vannimenus, J P Nadal and H Martin
Journal of Physics A: Mathematical and General 17 (6) L351 (1984)
DOI: 10.1088/0305-4470/17/6/008
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Self-avoiding walks on percolation clusters

M Sahimi
Journal of Physics A: Mathematical and General 17 (7) L379 (1984)
DOI: 10.1088/0305-4470/17/7/002
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Scaling behaviour for excitation trapping on fractals

G Zumofen, A Blument and J Klafter
Journal of Physics A: Mathematical and General 17 (9) L479 (1984)
DOI: 10.1088/0305-4470/17/9/005
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The notion of a strange fractal phenomenon-disorder induced walk

R B Pandey
Journal of Physics A: Mathematical and General 17 (10) L551 (1984)
DOI: 10.1088/0305-4470/17/10/006
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Renormalisation on Sierpinski-type fractals

R Hilfer and A Blumen
Journal of Physics A: Mathematical and General 17 (10) L537 (1984)
DOI: 10.1088/0305-4470/17/10/004
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On a new class of planar fractals: the Pascal-Sierpinski gaskets

N S Holter, A Lakhtakia, V K Varadan, V V Varadan and R Messier
Journal of Physics A: Mathematical and General 19 (9) 1753 (1986)
DOI: 10.1088/0305-4470/19/9/047
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Diffusion on percolation clusters with a bias in topological space: non-universal behaviour

S Havlin, A Bunde, H E Stanley and D Movshovitz
Journal of Physics A: Mathematical and General 19 (11) L693 (1986)
DOI: 10.1088/0305-4470/19/11/008
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Random walk on fractals: numerical studies in two dimensions

J C Angles d'Auriac, A Benoit and R Rammal
Journal of Physics A: Mathematical and General 16 (17) 4039 (1983)
DOI: 10.1088/0305-4470/16/17/020
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The vibrational spectrum of Eden clusters in many dimensions

D Dhar
Journal of Physics A: Mathematical and General 18 (12) L713 (1985)
DOI: 10.1088/0305-4470/18/12/005
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Probability densities for the displacement of random walks on percolation clusters

S Havlin, D Movshovitz, B Trus and G H Weiss
Journal of Physics A: Mathematical and General 18 (12) L719 (1985)
DOI: 10.1088/0305-4470/18/12/006
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A fractal model for band structures just above percolation threshold

T Nagatani
Journal of Physics A: Mathematical and General 18 (13) L821 (1985)
DOI: 10.1088/0305-4470/18/13/016
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Anomalous conformation of polymer chains: random walk of a random walk on a random walk

R B Pandey
Journal of Physics A: Mathematical and General 19 (2) L53 (1986)
DOI: 10.1088/0305-4470/19/2/006
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Critical dynamics at the percolation threshold

A C Maggs and R B Stinchcombe
Journal of Physics A: Mathematical and General 19 (2) L63 (1986)
DOI: 10.1088/0305-4470/19/2/008
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Electrical properties of percolation clusters: exact results on a deterministic fractal

J P Clerc, G Giraud, J M Laugier and J M Luck
Journal of Physics A: Mathematical and General 18 (13) 2565 (1985)
DOI: 10.1088/0305-4470/18/13/032
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The fractal dimension and other percolation exponents in four and five dimensions

N Jan, D C Hong and H E Stanley
Journal of Physics A: Mathematical and General 18 (15) L935 (1985)
DOI: 10.1088/0305-4470/18/15/006
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A diffusion model for transport on loopless aggregates

S Havlin, B Trus and G H Weiss
Journal of Physics A: Mathematical and General 18 (16) L1043 (1985)
DOI: 10.1088/0305-4470/18/16/009
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Real space renormalisation group method for the dilute Gaussian model and its relation to the random walk problems near the percolation threshold

A L Kholodenko
Journal of Physics A: Mathematical and General 18 (16) 3227 (1985)
DOI: 10.1088/0305-4470/18/16/023
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Field theoretic approaches to biconnectedness in percolating systems

A B Harris and T C Lubensky
Journal of Physics A: Mathematical and General 16 (11) L365 (1983)
DOI: 10.1088/0305-4470/16/11/005
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Topological and geometrical properties of DLA clusters

R M Malzbender, R C Mockler and W J O'Sullivan
Journal of Physics A: Mathematical and General 18 (18) L1143 (1985)
DOI: 10.1088/0305-4470/18/18/006
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Series expansion evidence supporting the Alexander-Orbach conjecture in two dimensions

J W Essam and F M Bhatti
Journal of Physics A: Mathematical and General 18 (18) 3577 (1985)
DOI: 10.1088/0305-4470/18/18/019
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Subordination on ultrametric spaces

G Kohler and A Blumen
Journal of Physics A: Mathematical and General 20 (16) 5627 (1987)
DOI: 10.1088/0305-4470/20/16/036
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The chemical distance distribution in percolation clusters

S Havlin, B Trus, G H Weiss and D Ben-Avraham
Journal of Physics A: Mathematical and General 18 (5) L247 (1985)
DOI: 10.1088/0305-4470/18/5/004
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A Levy flight approach to diffusion on a SAW with cross-links

J P Bouchaud and A Georges
Journal of Physics A: Mathematical and General 20 (17) L1161 (1987)
DOI: 10.1088/0305-4470/20/17/006
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AC conductivity for the two-dimensional bond-percolation problem

R Biller
Journal of Physics A: Mathematical and General 18 (6) 989 (1985)
DOI: 10.1088/0305-4470/18/6/020
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Scaling treatment of anisotropic diffusion

R B Stinchcombe
Journal of Physics A: Mathematical and General 18 (10) L591 (1985)
DOI: 10.1088/0305-4470/18/10/007
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Density of states and dynamic scaling on the Vicsek snowflake fractal

J A Ashraff and B W Southern
Journal of Physics A: Mathematical and General 21 (10) 2431 (1988)
DOI: 10.1088/0305-4470/21/10/020
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Fractal geometries in decay models

J R Banavar, M Muthukumar and J F Willemsen
Journal of Physics A: Mathematical and General 18 (1) 61 (1985)
DOI: 10.1088/0305-4470/18/1/017
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Transport in a two-component randomly composite material: scaling theory and computer simulations of termite diffusion near the superconducting limit

A Bunde, A Coniglio, D C Hong and H E Stanley
Journal of Physics A: Mathematical and General 18 (3) L137 (1985)
DOI: 10.1088/0305-4470/18/3/007
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First exit time of termites and random super-normal conductor networks

J Adler, A Aharony and D Stauffer
Journal of Physics A: Mathematical and General 18 (3) L129 (1985)
DOI: 10.1088/0305-4470/18/3/006
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Duality in fractals

H Nencka-Ficek
Journal of Physics A: Mathematical and General 18 (2) 327 (1985)
DOI: 10.1088/0305-4470/18/2/023
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Conductivity exponents from the analysis of series expansions for random resistor networks

J Adler
Journal of Physics A: Mathematical and General 18 (2) 307 (1985)
DOI: 10.1088/0305-4470/18/2/020
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Critical phenomena in fractal spin systems

H Tasaki
Journal of Physics A: Mathematical and General 20 (13) 4521 (1987)
DOI: 10.1088/0305-4470/20/13/050
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Calculating dynamic structure factors with the real space renormalisation group

A C Maggs and R B Stinchcombe
Journal of Physics A: Mathematical and General 19 (13) 2637 (1986)
DOI: 10.1088/0305-4470/19/13/028
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Anomalous diffusion on regular and random models for diffusion-limited aggregation

A Christou and R B Stinchcombe
Journal of Physics A: Mathematical and General 19 (13) 2625 (1986)
DOI: 10.1088/0305-4470/19/13/027
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Dynamics of branched polymers in the reaction bath

M Daoud
Journal of Physics A: Mathematical and General 21 (4) L237 (1988)
DOI: 10.1088/0305-4470/21/4/009
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Self-dual fractal models for the low-field Hall effect near percolation threshold

T Nagatani
Journal of Physics A: Mathematical and General 19 (14) 2781 (1986)
DOI: 10.1088/0305-4470/19/14/016
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Finite-size electrical resistivity and resistance in fractals

S L A de Queiroz
Journal of Physics A: Mathematical and General 21 (2) L107 (1988)
DOI: 10.1088/0305-4470/21/2/008
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Random walks on ultrametric spaces: low temperature patterns

A Blumen, G Zumofen and J Klafter
Journal of Physics A: Mathematical and General 19 (14) L861 (1986)
DOI: 10.1088/0305-4470/19/14/007
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Non-linear response in percolation systems

H Harder, A Bunde and S Havlin
Journal of Physics A: Mathematical and General 19 (15) L927 (1986)
DOI: 10.1088/0305-4470/19/15/012
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Scaling theory for the dynamic density profile at criticality

P M Shand
Journal of Physics A: Mathematical and General 20 (7) 1911 (1987)
DOI: 10.1088/0305-4470/20/7/035
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Critical dynamics in Heisenberg ferromagnets and antiferromagnets near the percolation threshold

I R Pimentel and R B Stinchcombe
Journal of Physics A: Mathematical and General 22 (18) 3959 (1989)
DOI: 10.1088/0305-4470/22/18/029
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Remarks on duality, lattices and the Sierpinski gasket

H Nencka-Ficek
Journal of Physics A: Mathematical and General 20 (1) 251 (1987)
DOI: 10.1088/0305-4470/20/1/033
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A conjecture on the Vogel-Fulcher law ion hierarchical structure

T Vilgis
Journal of Physics A: Mathematical and General 20 (3) 757 (1987)
DOI: 10.1088/0305-4470/20/3/037
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Neutron spin echo measurements of the diffusion of water in porous solids

J -C Li, D K Ross and C Lartigue
Journal of Physics: Condensed Matter 5 (41) 7529 (1993)
DOI: 10.1088/0953-8984/5/41/001
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Dynamic and scattering properties of the Sierpinski gasket

C Benoit, G Poussigue and A Assaf
Journal of Physics: Condensed Matter 4 (12) 3153 (1992)
DOI: 10.1088/0953-8984/4/12/011
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A model of diffusion in a spatially disordered lattice

L F Perondi and R J Elliott
Journal of Physics: Condensed Matter 5 (37) 6857 (1993)
DOI: 10.1088/0953-8984/5/37/006
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Scaling exponents for random walks on Sierpinski carpets and number of distinct sites visited: a new algorithm for infinite fractal lattices

Ruma Dasgupta, T K Ballabh and S Tarafdar
Journal of Physics A: Mathematical and General 32 (37) 6503 (1999)
DOI: 10.1088/0305-4470/32/37/302
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A qualitative study of the instability of fractal aggregates

Zidan Wang, Chang-de Gong, A Holz and C S Ting
Journal of Physics: Condensed Matter 1 (15) 2575 (1989)
DOI: 10.1088/0953-8984/1/15/003
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Dynamics of percolating networks

E Royer, C Benoit and G Poussigue
Journal of Physics: Condensed Matter 4 (2) 561 (1992)
DOI: 10.1088/0953-8984/4/2/024
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Vibrational properties of an octagonal quasicrystal

Zhengyou Liu, Zhehua Zhang, Jiang Qing and Decheng Tian
Journal of Physics: Condensed Matter 4 (29) 6343 (1992)
DOI: 10.1088/0953-8984/4/29/018
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The Classical and Superconductive (Rigid) Percolation Models

A.S. Skal
physica status solidi (b) 230 (1) 263 (2002)
DOI: 10.1002/1521-3951(200203)230:1<263::AID-PSSB263>3.0.CO;2-W
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Conduction in Granular Metals by Virtual Tunneling on the Fractal Percolation Cluster

I.P. Zvyagin and R. Keiper
physica status solidi (b) 230 (1) 151 (2002)
DOI: 10.1002/1521-3951(200203)230:1<151::AID-PSSB151>3.0.CO;2-B
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Quantum field-theory models on fractal spacetime

G. Eyink
Communications in Mathematical Physics 125 (4) 613 (1989)
DOI: 10.1007/BF01228344
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Fractal analysis of macromolecules

Viktor U Novikov and Georgii V Kozlov
Russian Chemical Reviews 69 (4) 347 (2000)
DOI: 10.1070/RC2000v069n04ABEH000523
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Structure and properties of polymers in terms of the fractal approach

Viktor U Novikov and Georgii V Kozlov
Russian Chemical Reviews 69 (6) 523 (2000)
DOI: 10.1070/RC2000v069n06ABEH000592
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Spectral dimension of a wire network

H Watanabe
Journal of Physics A: Mathematical and General 18 (14) 2807 (1985)
DOI: 10.1088/0305-4470/18/14/030
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Near-field optical microscopy of fractal structures

Victor Coello and Sergey I Bozhevolnyi
Nanotechnology 10 (1) 108 (1999)
DOI: 10.1088/0957-4484/10/1/021
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Diffusion and fracton dimensionality on fractals and on percolation clusters

S Havlin and D Ben-Avraham
Journal of Physics A: Mathematical and General 16 (13) L483 (1983)
DOI: 10.1088/0305-4470/16/13/008
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Diffusion on fractal lattices and the fractal Einstein relation

J A Given and B B Mandelbrot
Journal of Physics A: Mathematical and General 16 (15) L565 (1983)
DOI: 10.1088/0305-4470/16/15/003
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Thermal crossover effects resulting from dilution-induced magnon critical dynamics

R B Stinchcombe and I R Pimentel
Journal of Physics A: Mathematical and General 21 (16) L807 (1988)
DOI: 10.1088/0305-4470/21/16/005
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Dynamics of random media: anomalous wave propagation and damping near the percolation threshold

M Daoud, F Family and D C Hong
Journal of Physics A: Mathematical and General 21 (18) L917 (1988)
DOI: 10.1088/0305-4470/21/18/009
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A transfer-matrix approach to random resistor networks

B Derrida and J Vannimenus
Journal of Physics A: Mathematical and General 15 (10) L557 (1982)
DOI: 10.1088/0305-4470/15/10/007
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Probability distribution of random walks on self-avoiding walks

H Eduardo Roman
Journal of Physics A: Mathematical and General 30 (10) 3463 (1997)
DOI: 10.1088/0305-4470/30/10/022
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AC conductivity and diffusion near the percolation threshold

W Schirmacher
Journal of Physics A: Mathematical and General 27 (19) L727 (1994)
DOI: 10.1088/0305-4470/27/19/002
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Transience on the average and spontaneous symmetry breaking on graphs

Raffaella Burioni, Davide Cassi and Alessandro Vezzani
Journal of Physics A: Mathematical and General 32 (30) 5539 (1999)
DOI: 10.1088/0305-4470/32/30/302
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Steady state of imperfect annihilation and coagulation reactions

H O Martin, J L Iguain and M Hoyuelos
Journal of Physics A: Mathematical and General 28 (18) 5227 (1995)
DOI: 10.1088/0305-4470/28/18/013
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Diffusion on loopless critical percolation cluster

S Mukherjee, D J Jacobs and H Nakanishi
Journal of Physics A: Mathematical and General 28 (2) 291 (1995)
DOI: 10.1088/0305-4470/28/2/007
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Finite size analysis of eigenvalue spectrum for random walks on a critical percolation cluster in four dimensions

Sang Bub Lee and Hisao Nakanishi
Journal of Physics A: Mathematical and General 33 (15) 2943 (2000)
DOI: 10.1088/0305-4470/33/15/303
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Electronic spectral dimension of a fractal aggregate taking account of hybridization

N Olivi-Tran, M Leleyter and R Thouy
Journal of Physics: Condensed Matter 9 (14) L225 (1997)
DOI: 10.1088/0953-8984/9/14/001
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Anomalous acoustic behaviour and backbone structure of percolation clusters

T Ohtsuki and T Keyes
Journal of Physics A: Mathematical and General 17 (3) L137 (1984)
DOI: 10.1088/0305-4470/17/3/008
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Diffusion and trapping of excitations in disordered systems

M Sahimi
Journal of Physics A: Mathematical and General 17 (12) 2567 (1984)
DOI: 10.1088/0305-4470/17/12/026
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Studies of the spectral dimension for branched Koch curves

R Tao
Journal of Physics A: Mathematical and General 20 (17) 6151 (1987)
DOI: 10.1088/0305-4470/20/17/050
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Anomalous diffusion on fractal lattices with site disorder

S Robillard and A -M S Tremblay
Journal of Physics A: Mathematical and General 19 (11) 2171 (1986)
DOI: 10.1088/0305-4470/19/11/025
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On the propagator of Sierpinski gaskets

J Klafter, G Zumofen and A Blumen
Journal of Physics A: Mathematical and General 24 (20) 4835 (1991)
DOI: 10.1088/0305-4470/24/20/016
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Fractional diffusion equation on fractals: three-dimensional case and scattering function

H E Roman and M Giona
Journal of Physics A: Mathematical and General 25 (8) 2107 (1992)
DOI: 10.1088/0305-4470/25/8/024
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Application of fracton theory to nanocrystalline iron

J Chadwick
Journal of Physics A: Mathematical and General 32 (22) 4087 (1999)
DOI: 10.1088/0305-4470/32/22/309
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Fractal dimensionality and the number of visited sites of the ant in the labyrinth

R B Pandey and D Stauffer
Journal of Physics A: Mathematical and General 16 (14) L511 (1983)
DOI: 10.1088/0305-4470/16/14/004
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Exact fractals with adjustable fractal and fracton dimensionalities

D Ben-Avraham and S Havlin
Journal of Physics A: Mathematical and General 16 (15) L559 (1983)
DOI: 10.1088/0305-4470/16/15/002
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The backbone and conductivity of random clusters

M Sahimi
Journal of Physics A: Mathematical and General 18 (1) 83 (1985)
DOI: 10.1088/0305-4470/18/1/020
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Critical dynamics of a dilute central force network with partial bond bending forces

G D Hughes, C J Lambert and D Burton
Journal of Physics: Condensed Matter 2 (14) 3399 (1990)
DOI: 10.1088/0953-8984/2/14/024
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Vibrational density of states of general two-component random mixtures near percolation thresholds

S Russ, H Eduardo Roman and A Bunde
Journal of Physics: Condensed Matter 3 (26) 4797 (1991)
DOI: 10.1088/0953-8984/3/26/003
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Vector vibrations and the Ioffe-Regel crossover in disordered lattices

S N Taraskin and S R Elliott
Journal of Physics: Condensed Matter 14 (12) 3143 (2002)
DOI: 10.1088/0953-8984/14/12/306
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Low-frequency vibrational states in Spectrosil-B

N Ahmad, T Hussain and C J Adkins
Journal of Physics: Condensed Matter 5 (2) 147 (1993)
DOI: 10.1088/0953-8984/5/2/002
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