Exact results for the diamond lattice Green function with applications to uniform random walks in a plane

Journal of Physics A Mathematical and Theoretical ◽

10.1088/1751-8121/aa8881 ◽

2017 ◽

Vol 50 (42) ◽

pp. 425001 ◽

Author(s):

G S Joyce

Keyword(s):

Green Function ◽

Random Walks ◽

Diamond Lattice ◽

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Exact results for the anisotropic honeycomb lattice Green function with applications to three-step Pearson random walks

Journal of Physics A Mathematical and Theoretical ◽

10.1088/1751-8121/ab0339 ◽

2019 ◽

Vol 52 (15) ◽

pp. 155204 ◽

Author(s):

G S Joyce

Keyword(s):

Green Function ◽

Random Walks ◽

Honeycomb Lattice ◽

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Green function estimates and their applications to the intersections of symmetric random walks

Stochastic Processes and their Applications ◽

10.1016/0304-4149(93)90106-e ◽

1993 ◽

Vol 48 (1) ◽

pp. 31-60 ◽

Author(s):

Xian Yin Zhou

Keyword(s):

Green Function ◽

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Statistics of polymer chains embedded on a diamond lattice. I. Exact results for the lattice version of the freely rotating chain

The Journal of Chemical Physics ◽

10.1063/1.441907 ◽

1981 ◽

Vol 75 (10) ◽

pp. 5143-5148 ◽

Author(s):

M. F. Thorpe ◽

W. K. Schroll

Keyword(s):

Diamond Lattice ◽

Polymer Chains ◽

Exact Results ◽

Lattice Version

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The lattice Green function of the anisotropic diamond lattice

Physica Scripta ◽

10.1088/0031-8949/80/04/045701 ◽

2009 ◽

Vol 80 (4) ◽

pp. 045701 ◽

Author(s):

R S Hijjawi

Keyword(s):

Green Function ◽

Diamond Lattice

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Some exact results for the face-centred cubic lattice Green function

Journal of Physics A Mathematical and Theoretical ◽

10.1088/1751-8113/44/31/315202 ◽

2011 ◽

Vol 44 (31) ◽

pp. 315202 ◽

Author(s):

G S Joyce

Keyword(s):

Green Function ◽

Exact Results ◽

Cubic Lattice ◽

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Branching and annihilating random walks: Exact results at low branching rate

Physical Review E ◽

10.1103/physreve.87.052132 ◽

2013 ◽

Vol 87 (5) ◽

Author(s):

Federico Benitez ◽

Nicolás Wschebor

Keyword(s):

Random Walks ◽

Exact Results ◽

Annihilating Random Walks

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Universal shape ratios for open and closed random walks: exact results for all d

Journal of Physics A General Physics ◽

10.1088/0305-4470/22/3/005 ◽

1989 ◽

Vol 22 (3) ◽

pp. L87-L91 ◽

Author(s):

H W Diehl ◽

E Eisenriegler

Keyword(s):

Random Walks ◽

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On the fully anisotropic honeycomb lattice Green function, Bessel function integrals and Pearson random walks

Journal of Physics A Mathematical and Theoretical ◽

10.1088/1751-8121/abaa86 ◽

2020 ◽

Vol 53 (41) ◽

pp. 415001

Author(s):

G S Joyce

Keyword(s):

Green Function ◽

Random Walks ◽

Bessel Function ◽

Honeycomb Lattice

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Random walks on deterministic scale-free networks: Exact results

Physical Review E ◽

10.1103/physreve.80.031125 ◽

2009 ◽

Vol 80 (3) ◽

Author(s):

E. Agliari ◽

R. Burioni

Keyword(s):

Random Walks ◽

Exact Results ◽

Scale Free Networks

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Random walks with nearest neighbors prohibited on the diamond lattice

The Journal of Chemical Physics ◽

10.1063/1.479610 ◽

1999 ◽

Vol 111 (7) ◽

pp. 3311-3312 ◽

Author(s):

Vladimir Tchijov ◽

Suemi Rodrı́guez-Romo

Keyword(s):

Random Walks ◽

Nearest Neighbors ◽

Diamond Lattice

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