Random walk (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Random walk" in English language version.

refsWebsite

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29doi.org

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13nih.gov

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12semanticscholar.org

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10harvard.edu

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7arxiv.org

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2books.google.com

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2archives-ouvertes.fr

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1mit.edu

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1acm.org

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1cornell.edu

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1emis.de

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acm.org

dl.acm.org

Gupta, Pankaj et al. WTF: The who-to-follow system at Twitter, Proceedings of the 22nd international conference on World Wide Web

ams.org

mathscinet.ams.org

Weiss, George H. (1994). Aspects and Applications of the Random Walk. Random Materials and Processes. North-Holland Publishing Co., Amsterdam. ISBN 978-0-444-81606-1. MR 1280031.

archive.org

Durrett, Rick (2010). Probability: Theory and Examples. Cambridge University Press. pp. 191. ISBN 978-1-139-49113-6.
Pólya, George (1984). Probability; Combinatorics; Teaching and learning in mathematics. Rota, Gian-Carlo, 1932-1999., Reynolds, M. C., Shortt, Rae Michael. Cambridge, Mass.: MIT Press. pp. 582–585. ISBN 0-262-16097-8. OCLC 10208449.
Jones, R.A.L. (2004). Soft condensed matter (Reprint. ed.). Oxford [u.a.]: Oxford Univ. Pr. pp. 77–78. ISBN 978-0-19-850589-1.

archives-ouvertes.fr

hal.archives-ouvertes.fr

Alexander, S.; Orbach, R. (1982). "Density of states on fractals: " fractons "" (PDF). Journal de Physique Lettres. 43 (17): 625–631. doi:10.1051/jphyslet:019820043017062500. S2CID 67757791.
Rammal, R.; Toulouse, G. (1983). "Random walks on fractal structures and percolation clusters". Journal de Physique Lettres. 44 (1): 13–22. doi:10.1051/jphyslet:0198300440101300.

arxiv.org

Kohls, Moritz; Hernandez, Tanja (2016). "Expected Coverage of Random Walk Mobility Algorithm". arXiv:1611.02861 [stat.AP].
Novak, Jonathan (2014). "Pólya's Random Walk Theorem". The American Mathematical Monthly. 121 (8): 711–716. arXiv:1301.3916. doi:10.4169/amer.math.monthly.121.08.711. ISSN 0002-9890. JSTOR 10.4169/amer.math.monthly.121.08.711.
Krishnapur, Manjunath; Peres, Yuval (2004). "Recurrent Graphs where Two Independent Random Walks Collide Finitely Often". Electronic Communications in Probability. 9: 72–81. arXiv:math/0406487. Bibcode:2004math......6487K. doi:10.1214/ECP.v9-1111. ISSN 1083-589X. S2CID 16584737.
Tishby, Ido; Biham, Ofer; Katzav, Eytan (2017). "The distribution of first hitting times of randomwalks on Erdős–Rényi networks". Journal of Physics A: Mathematical and Theoretical. 50 (11): 115001. arXiv:1606.01560. Bibcode:2017JPhA...50k5001T. doi:10.1088/1751-8121/aa5af3. S2CID 118850609.
Tishby, Ido; Biham, Ofer; Katzav, Eytan (2016). "The distribution of path lengths of self avoiding walks on Erdős–Rényi networks". Journal of Physics A: Mathematical and Theoretical. 49 (28): 285002. arXiv:1603.06613. Bibcode:2016JPhA...49B5002T. doi:10.1088/1751-8113/49/28/285002. S2CID 119182848.
Burda, Z.; Duda, J.; Luck, J. M.; Waclaw, B. (2009). "Localization of the Maximal Entropy Random Walk". Physical Review Letters. 102 (16): 160602. arXiv:0810.4113. Bibcode:2009PhRvL.102p0602B. doi:10.1103/PhysRevLett.102.160602. PMID 19518691. S2CID 32134048.
Pemantle, Robin (2007). "A survey of random processes with reinforcement" (PDF). Probability Surveys. 4: 1–79. arXiv:math/0610076. doi:10.1214/07-PS094. S2CID 11964062.

books.google.com

Theory and Applications of Monte Carlo Simulations. (2013). Kroatien: IntechOpen. Page 229, https://books.google.com/books?id=3HWfDwAAQBAJ&pg=PA229
Smoluchowski, M.V. (1917). "Versuch einer mathematischen Theorie der Koagulationskinetik kolloider Lösungen". Z. Phys. Chem. (29): 129–168.,Rice, S.A. (1 March 1985). Diffusion-Limited Reactions. Comprehensive Chemical Kinetics. Vol. 25. Elsevier. ISBN 978-0-444-42354-2. Retrieved 13 August 2013.

bu.edu

cns-web.bu.edu

Grady, L (2006). "Random walks for image segmentation" (PDF). IEEE Transactions on Pattern Analysis and Machine Intelligence. 28 (11): 1768–83. CiteSeerX 10.1.1.375.3389. doi:10.1109/TPAMI.2006.233. PMID 17063682. S2CID 489789. Archived from the original (PDF) on 5 July 2017. Retrieved 2 November 2016.

cornell.edu

math.cornell.edu

Lawler, Gregory Conformally Invariant Processes in the Plane, book.ps.

dartmouth.edu

engineering.dartmouth.edu

Chapter 2 DIFFUSION. dartmouth.edu.

doi.org

Pearson, Karl (1905). "The Problem of the Random Walk". Nature. 72 (1865): 294. Bibcode:1905Natur..72..294P. doi:10.1038/072294b0. S2CID 4010776.
Kotani, M.; Sunada, T. (2003). Spectral geometry of crystal lattices. Contemporary Mathematics. Vol. 338. pp. 271–305. doi:10.1090/conm/338/06077. ISBN 978-0-8218-3383-4.
Kotani, M.; Sunada, T. (2006). "Large deviation and the tangent cone at infinity of a crystal lattice". Math. Z. 254 (4): 837–870. doi:10.1007/s00209-006-0951-9. S2CID 122531716.
Novak, Jonathan (2014). "Pólya's Random Walk Theorem". The American Mathematical Monthly. 121 (8): 711–716. arXiv:1301.3916. doi:10.4169/amer.math.monthly.121.08.711. ISSN 0002-9890. JSTOR 10.4169/amer.math.monthly.121.08.711.
Lange, Kenneth (2015). "Polya′s Random Walk Theorem Revisited". The American Mathematical Monthly. 122 (10): 1005–1007. doi:10.4169/amer.math.monthly.122.10.1005. ISSN 0002-9890. JSTOR 10.4169/amer.math.monthly.122.10.1005.
Erdős, P.; Taylor, S. J. (1960). "Some intersection properties of random walk paths". Acta Mathematica Academiae Scientiarum Hungaricae. 11 (3–4): 231–248. CiteSeerX 10.1.1.210.6357. doi:10.1007/BF02020942. ISSN 0001-5954. S2CID 14143214.
MacKenzie, D. (2000). "MATHEMATICS: Taking the Measure of the Wildest Dance on Earth". Science. 290 (5498): 1883–4. doi:10.1126/science.290.5498.1883. PMID 17742050. S2CID 12829171. (Erratum: doi:10.1126/science.291.5504.597)
Weiss, George H.; Rubin, Robert J. (1982). "Random Walks: Theory and Selected Applications". Advances in Chemical Physics. Vol. 52. pp. 363–505. doi:10.1002/9780470142769.ch5. ISBN 978-0-470-14276-9.
Blumen, A.; Klafter, J.; Zumofen, G. (1986). "Models for Reaction Dynamics in Glasses". Optical Spectroscopy of Glasses. Physic and Chemistry of Materials with Low-Dimensional Structures. Vol. 1. pp. 199–265. Bibcode:1986PCMLD...1..199B. doi:10.1007/978-94-009-4650-7_5. ISBN 978-94-010-8566-3.
Alexander, S.; Orbach, R. (1982). "Density of states on fractals: " fractons "" (PDF). Journal de Physique Lettres. 43 (17): 625–631. doi:10.1051/jphyslet:019820043017062500. S2CID 67757791.
Rammal, R.; Toulouse, G. (1983). "Random walks on fractal structures and percolation clusters". Journal de Physique Lettres. 44 (1): 13–22. doi:10.1051/jphyslet:0198300440101300.
Skellam, J. G. (1951). "Random Dispersal in Theoretical Populations". Biometrika. 38 (1/2): 196–218. doi:10.2307/2332328. JSTOR 2332328. PMID 14848123.
Skellam, J. G. (1952). "Studies in Statistical Ecology: I. Spatial Pattern". Biometrika. 39 (3/4): 346–362. doi:10.2307/2334030. JSTOR 2334030.
Berger, T. (1970). "Information rates of Wiener processes". IEEE Transactions on Information Theory. 16 (2): 134–139. doi:10.1109/TIT.1970.1054423.
Hansen, Thomas F.; Martins, Emília P. (August 1996). "Translating Between Microevolutionary Process and Macroevolutionary Patterns: The Correlation Structure of Interspecific Data". Evolution. 50 (4): 1404–1417. doi:10.1111/j.1558-5646.1996.tb03914.x. ISSN 0014-3820. PMID 28565714.
Bar-Yossef, Ziv; Gurevich, Maxim (2008). "Random sampling from a search engine's index". Journal of the ACM. 55 (5). Association for Computing Machinery (ACM): 1–74. doi:10.1145/1411509.1411514. ISSN 0004-5411.
Grady, L (2006). "Random walks for image segmentation" (PDF). IEEE Transactions on Pattern Analysis and Machine Intelligence. 28 (11): 1768–83. CiteSeerX 10.1.1.375.3389. doi:10.1109/TPAMI.2006.233. PMID 17063682. S2CID 489789. Archived from the original (PDF) on 5 July 2017. Retrieved 2 November 2016.
Rucci, M; Victor, J. D. (2015). "The unsteady eye: An information-processing stage, not a bug". Trends in Neurosciences. 38 (4): 195–206. doi:10.1016/j.tins.2015.01.005. PMC 4385455. PMID 25698649.
Engbert, R.; Mergenthaler, K.; Sinn, P.; Pikovsky, A. (2011). "An integrated model of fixational eye movements and microsaccades". Proceedings of the National Academy of Sciences. 108 (39): E765-70. Bibcode:2011PNAS..108E.765E. doi:10.1073/pnas.1102730108. PMC 3182695. PMID 21873243.
Nosofsky, R. M.; Palmeri, T. J. (1997). "An exemplar-based random walk model of speeded classification" (PDF). Psychological Review. 104 (2): 266–300. doi:10.1037/0033-295x.104.2.266. PMID 9127583. Archived from the original (PDF) on 10 December 2004.
Codling, E. A; Plank, M. J; Benhamou, S. (6 August 2008). "Random walk models in biology". Journal of the Royal Society Interface. 5 (25): 813–834. doi:10.1098/rsif.2008.0014. PMC 2504494. PMID 18426776.
Krishnapur, Manjunath; Peres, Yuval (2004). "Recurrent Graphs where Two Independent Random Walks Collide Finitely Often". Electronic Communications in Probability. 9: 72–81. arXiv:math/0406487. Bibcode:2004math......6487K. doi:10.1214/ECP.v9-1111. ISSN 1083-589X. S2CID 16584737.
Tishby, Ido; Biham, Ofer; Katzav, Eytan (2017). "The distribution of first hitting times of randomwalks on Erdős–Rényi networks". Journal of Physics A: Mathematical and Theoretical. 50 (11): 115001. arXiv:1606.01560. Bibcode:2017JPhA...50k5001T. doi:10.1088/1751-8121/aa5af3. S2CID 118850609.
Tishby, Ido; Biham, Ofer; Katzav, Eytan (2016). "The distribution of path lengths of self avoiding walks on Erdős–Rényi networks". Journal of Physics A: Mathematical and Theoretical. 49 (28): 285002. arXiv:1603.06613. Bibcode:2016JPhA...49B5002T. doi:10.1088/1751-8113/49/28/285002. S2CID 119182848.
Burda, Z.; Duda, J.; Luck, J. M.; Waclaw, B. (2009). "Localization of the Maximal Entropy Random Walk". Physical Review Letters. 102 (16): 160602. arXiv:0810.4113. Bibcode:2009PhRvL.102p0602B. doi:10.1103/PhysRevLett.102.160602. PMID 19518691. S2CID 32134048.
Hemmer, S.; Hemmer, P. C. (1984). "An average self-avoiding random walk on the square lattice lasts 71 steps". J. Chem. Phys. 81 (1): 584–585. Bibcode:1984JChPh..81..584H. doi:10.1063/1.447349.
Pemantle, Robin (2007). "A survey of random processes with reinforcement" (PDF). Probability Surveys. 4: 1–79. arXiv:math/0610076. doi:10.1214/07-PS094. S2CID 11964062.
Bovet, Pierre; Benhamou, Simon (1988). "Spatial analysis of animals' movements using a correlated random walk model". Journal of Theoretical Biology. 131 (4): 419–433. Bibcode:1988JThBi.131..419B. doi:10.1016/S0022-5193(88)80038-9.
Kareiva, P.M.; Shigesada, N. (1983). "Analyzing insect movement as a correlated random walk". Oecologia. 56 (2–3): 234–238. Bibcode:1983Oecol..56..234K. doi:10.1007/BF00379695. PMID 28310199. S2CID 20329045.

emis.de

Pemantle, Robin (2007). "A survey of random processes with reinforcement" (PDF). Probability Surveys. 4: 1–79. arXiv:math/0610076. doi:10.1214/07-PS094. S2CID 11964062.

harvard.edu

ui.adsabs.harvard.edu

Pearson, Karl (1905). "The Problem of the Random Walk". Nature. 72 (1865): 294. Bibcode:1905Natur..72..294P. doi:10.1038/072294b0. S2CID 4010776.
Blumen, A.; Klafter, J.; Zumofen, G. (1986). "Models for Reaction Dynamics in Glasses". Optical Spectroscopy of Glasses. Physic and Chemistry of Materials with Low-Dimensional Structures. Vol. 1. pp. 199–265. Bibcode:1986PCMLD...1..199B. doi:10.1007/978-94-009-4650-7_5. ISBN 978-94-010-8566-3.
Engbert, R.; Mergenthaler, K.; Sinn, P.; Pikovsky, A. (2011). "An integrated model of fixational eye movements and microsaccades". Proceedings of the National Academy of Sciences. 108 (39): E765-70. Bibcode:2011PNAS..108E.765E. doi:10.1073/pnas.1102730108. PMC 3182695. PMID 21873243.
Krishnapur, Manjunath; Peres, Yuval (2004). "Recurrent Graphs where Two Independent Random Walks Collide Finitely Often". Electronic Communications in Probability. 9: 72–81. arXiv:math/0406487. Bibcode:2004math......6487K. doi:10.1214/ECP.v9-1111. ISSN 1083-589X. S2CID 16584737.
Tishby, Ido; Biham, Ofer; Katzav, Eytan (2017). "The distribution of first hitting times of randomwalks on Erdős–Rényi networks". Journal of Physics A: Mathematical and Theoretical. 50 (11): 115001. arXiv:1606.01560. Bibcode:2017JPhA...50k5001T. doi:10.1088/1751-8121/aa5af3. S2CID 118850609.
Tishby, Ido; Biham, Ofer; Katzav, Eytan (2016). "The distribution of path lengths of self avoiding walks on Erdős–Rényi networks". Journal of Physics A: Mathematical and Theoretical. 49 (28): 285002. arXiv:1603.06613. Bibcode:2016JPhA...49B5002T. doi:10.1088/1751-8113/49/28/285002. S2CID 119182848.
Burda, Z.; Duda, J.; Luck, J. M.; Waclaw, B. (2009). "Localization of the Maximal Entropy Random Walk". Physical Review Letters. 102 (16): 160602. arXiv:0810.4113. Bibcode:2009PhRvL.102p0602B. doi:10.1103/PhysRevLett.102.160602. PMID 19518691. S2CID 32134048.
Hemmer, S.; Hemmer, P. C. (1984). "An average self-avoiding random walk on the square lattice lasts 71 steps". J. Chem. Phys. 81 (1): 584–585. Bibcode:1984JChPh..81..584H. doi:10.1063/1.447349.
Bovet, Pierre; Benhamou, Simon (1988). "Spatial analysis of animals' movements using a correlated random walk model". Journal of Theoretical Biology. 131 (4): 419–433. Bibcode:1988JThBi.131..419B. doi:10.1016/S0022-5193(88)80038-9.
Kareiva, P.M.; Shigesada, N. (1983). "Analyzing insect movement as a correlated random walk". Oecologia. 56 (2–3): 234–238. Bibcode:1983Oecol..56..234K. doi:10.1007/BF00379695. PMID 28310199. S2CID 20329045.

jstor.org

Novak, Jonathan (2014). "Pólya's Random Walk Theorem". The American Mathematical Monthly. 121 (8): 711–716. arXiv:1301.3916. doi:10.4169/amer.math.monthly.121.08.711. ISSN 0002-9890. JSTOR 10.4169/amer.math.monthly.121.08.711.
Lange, Kenneth (2015). "Polya′s Random Walk Theorem Revisited". The American Mathematical Monthly. 122 (10): 1005–1007. doi:10.4169/amer.math.monthly.122.10.1005. ISSN 0002-9890. JSTOR 10.4169/amer.math.monthly.122.10.1005.
Skellam, J. G. (1951). "Random Dispersal in Theoretical Populations". Biometrika. 38 (1/2): 196–218. doi:10.2307/2332328. JSTOR 2332328. PMID 14848123.
Skellam, J. G. (1952). "Studies in Statistical Ecology: I. Spatial Pattern". Biometrika. 39 (3/4): 346–362. doi:10.2307/2334030. JSTOR 2334030.

mit.edu

ocw.mit.edu

H. Rycroft, Chris; Z. Bazant, Martin. "Lecture 1: Introduction to Random Walks and Diffusion" (PDF). MIT OpenCourseWare. Department of Mathematics, MIT.

mpg.de

kyb.mpg.de

Alamgir, M. and von Luxburg, U. (2010). "Multi-agent random walks for local clustering on graphs" Archived 15 April 2012 at the Wayback Machine, IEEE 10th International Conference on Data Mining (ICDM), pp. 18–27.

nih.gov

pubmed.ncbi.nlm.nih.gov

MacKenzie, D. (2000). "MATHEMATICS: Taking the Measure of the Wildest Dance on Earth". Science. 290 (5498): 1883–4. doi:10.1126/science.290.5498.1883. PMID 17742050. S2CID 12829171. (Erratum: doi:10.1126/science.291.5504.597)
Skellam, J. G. (1951). "Random Dispersal in Theoretical Populations". Biometrika. 38 (1/2): 196–218. doi:10.2307/2332328. JSTOR 2332328. PMID 14848123.
Hansen, Thomas F.; Martins, Emília P. (August 1996). "Translating Between Microevolutionary Process and Macroevolutionary Patterns: The Correlation Structure of Interspecific Data". Evolution. 50 (4): 1404–1417. doi:10.1111/j.1558-5646.1996.tb03914.x. ISSN 0014-3820. PMID 28565714.
Grady, L (2006). "Random walks for image segmentation" (PDF). IEEE Transactions on Pattern Analysis and Machine Intelligence. 28 (11): 1768–83. CiteSeerX 10.1.1.375.3389. doi:10.1109/TPAMI.2006.233. PMID 17063682. S2CID 489789. Archived from the original (PDF) on 5 July 2017. Retrieved 2 November 2016.
Rucci, M; Victor, J. D. (2015). "The unsteady eye: An information-processing stage, not a bug". Trends in Neurosciences. 38 (4): 195–206. doi:10.1016/j.tins.2015.01.005. PMC 4385455. PMID 25698649.
Engbert, R.; Mergenthaler, K.; Sinn, P.; Pikovsky, A. (2011). "An integrated model of fixational eye movements and microsaccades". Proceedings of the National Academy of Sciences. 108 (39): E765-70. Bibcode:2011PNAS..108E.765E. doi:10.1073/pnas.1102730108. PMC 3182695. PMID 21873243.
Nosofsky, R. M.; Palmeri, T. J. (1997). "An exemplar-based random walk model of speeded classification" (PDF). Psychological Review. 104 (2): 266–300. doi:10.1037/0033-295x.104.2.266. PMID 9127583. Archived from the original (PDF) on 10 December 2004.
Codling, E. A; Plank, M. J; Benhamou, S. (6 August 2008). "Random walk models in biology". Journal of the Royal Society Interface. 5 (25): 813–834. doi:10.1098/rsif.2008.0014. PMC 2504494. PMID 18426776.
Burda, Z.; Duda, J.; Luck, J. M.; Waclaw, B. (2009). "Localization of the Maximal Entropy Random Walk". Physical Review Letters. 102 (16): 160602. arXiv:0810.4113. Bibcode:2009PhRvL.102p0602B. doi:10.1103/PhysRevLett.102.160602. PMID 19518691. S2CID 32134048.
Kareiva, P.M.; Shigesada, N. (1983). "Analyzing insect movement as a correlated random walk". Oecologia. 56 (2–3): 234–238. Bibcode:1983Oecol..56..234K. doi:10.1007/BF00379695. PMID 28310199. S2CID 20329045.

ncbi.nlm.nih.gov

Rucci, M; Victor, J. D. (2015). "The unsteady eye: An information-processing stage, not a bug". Trends in Neurosciences. 38 (4): 195–206. doi:10.1016/j.tins.2015.01.005. PMC 4385455. PMID 25698649.
Engbert, R.; Mergenthaler, K.; Sinn, P.; Pikovsky, A. (2011). "An integrated model of fixational eye movements and microsaccades". Proceedings of the National Academy of Sciences. 108 (39): E765-70. Bibcode:2011PNAS..108E.765E. doi:10.1073/pnas.1102730108. PMC 3182695. PMID 21873243.
Codling, E. A; Plank, M. J; Benhamou, S. (6 August 2008). "Random walk models in biology". Journal of the Royal Society Interface. 5 (25): 813–834. doi:10.1098/rsif.2008.0014. PMC 2504494. PMID 18426776.

oup.com

academic.oup.com

Hansen, Thomas F.; Martins, Emília P. (August 1996). "Translating Between Microevolutionary Process and Macroevolutionary Patterns: The Correlation Structure of Interspecific Data". Evolution. 50 (4): 1404–1417. doi:10.1111/j.1558-5646.1996.tb03914.x. ISSN 0014-3820. PMID 28565714.

projecteuclid.org

Krishnapur, Manjunath; Peres, Yuval (2004). "Recurrent Graphs where Two Independent Random Walks Collide Finitely Often". Electronic Communications in Probability. 9: 72–81. arXiv:math/0406487. Bibcode:2004math......6487K. doi:10.1214/ECP.v9-1111. ISSN 1083-589X. S2CID 16584737.

psu.edu

citeseerx.ist.psu.edu

Erdős, P.; Taylor, S. J. (1960). "Some intersection properties of random walk paths". Acta Mathematica Academiae Scientiarum Hungaricae. 11 (3–4): 231–248. CiteSeerX 10.1.1.210.6357. doi:10.1007/BF02020942. ISSN 0001-5954. S2CID 14143214.
Grady, L (2006). "Random walks for image segmentation" (PDF). IEEE Transactions on Pattern Analysis and Machine Intelligence. 28 (11): 1768–83. CiteSeerX 10.1.1.375.3389. doi:10.1109/TPAMI.2006.233. PMID 17063682. S2CID 489789. Archived from the original (PDF) on 5 July 2017. Retrieved 2 November 2016.

semanticscholar.org

api.semanticscholar.org

Pearson, Karl (1905). "The Problem of the Random Walk". Nature. 72 (1865): 294. Bibcode:1905Natur..72..294P. doi:10.1038/072294b0. S2CID 4010776.
Kotani, M.; Sunada, T. (2006). "Large deviation and the tangent cone at infinity of a crystal lattice". Math. Z. 254 (4): 837–870. doi:10.1007/s00209-006-0951-9. S2CID 122531716.
Erdős, P.; Taylor, S. J. (1960). "Some intersection properties of random walk paths". Acta Mathematica Academiae Scientiarum Hungaricae. 11 (3–4): 231–248. CiteSeerX 10.1.1.210.6357. doi:10.1007/BF02020942. ISSN 0001-5954. S2CID 14143214.
MacKenzie, D. (2000). "MATHEMATICS: Taking the Measure of the Wildest Dance on Earth". Science. 290 (5498): 1883–4. doi:10.1126/science.290.5498.1883. PMID 17742050. S2CID 12829171. (Erratum: doi:10.1126/science.291.5504.597)
Alexander, S.; Orbach, R. (1982). "Density of states on fractals: " fractons "" (PDF). Journal de Physique Lettres. 43 (17): 625–631. doi:10.1051/jphyslet:019820043017062500. S2CID 67757791.
Grady, L (2006). "Random walks for image segmentation" (PDF). IEEE Transactions on Pattern Analysis and Machine Intelligence. 28 (11): 1768–83. CiteSeerX 10.1.1.375.3389. doi:10.1109/TPAMI.2006.233. PMID 17063682. S2CID 489789. Archived from the original (PDF) on 5 July 2017. Retrieved 2 November 2016.
Krishnapur, Manjunath; Peres, Yuval (2004). "Recurrent Graphs where Two Independent Random Walks Collide Finitely Often". Electronic Communications in Probability. 9: 72–81. arXiv:math/0406487. Bibcode:2004math......6487K. doi:10.1214/ECP.v9-1111. ISSN 1083-589X. S2CID 16584737.
Tishby, Ido; Biham, Ofer; Katzav, Eytan (2017). "The distribution of first hitting times of randomwalks on Erdős–Rényi networks". Journal of Physics A: Mathematical and Theoretical. 50 (11): 115001. arXiv:1606.01560. Bibcode:2017JPhA...50k5001T. doi:10.1088/1751-8121/aa5af3. S2CID 118850609.
Tishby, Ido; Biham, Ofer; Katzav, Eytan (2016). "The distribution of path lengths of self avoiding walks on Erdős–Rényi networks". Journal of Physics A: Mathematical and Theoretical. 49 (28): 285002. arXiv:1603.06613. Bibcode:2016JPhA...49B5002T. doi:10.1088/1751-8113/49/28/285002. S2CID 119182848.
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