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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12harvard.edu

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12semanticscholar.org

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7arxiv.org

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7worldcat.org

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4jstor.org

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4web.archive.org

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3archive.org

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2books.google.com

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2wolfram.com

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2psu.edu

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2archives-ouvertes.fr

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1mit.edu

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1dartmouth.edu

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1acm.org

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1oup.com

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1uci.edu

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1projecteuclid.org

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1cornell.edu

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1emis.de

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1mpg.de

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acm.org (Global: 1,185^th place; English: 840^th place)

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 (Global: 451^st place; English: 277^th place)

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 (Global: 6^th place; English: 6^th place)

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. Oxford University Press. pp. 77–78. ISBN 978-0-19-850589-1.

archives-ouvertes.fr (Global: 1,031^st place; English: 879^th place)

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 (Global: 69^th place; English: 59^th place)

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 (Global: 3^rd place; English: 3^rd place)

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 (Global: 2,120^th place; English: 1,328^th place)

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. Bibcode:2006ITPAM..28.1768G. 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 (Global: 332^nd place; English: 246^th place)

math.cornell.edu

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

dartmouth.edu (Global: 2,242^nd place; English: 1,513^th place)

engineering.dartmouth.edu

Chapter 2 DIFFUSION. dartmouth.edu.

doi.org (Global: 2^nd place; English: 2^nd place)

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.
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. Bibcode:2006ITPAM..28.1768G. 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.
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.
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. Bibcode:1996Evolu..50.1404H. doi:10.1111/j.1558-5646.1996.tb03914.x. ISSN 0014-3820. PMID 28565714.
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.
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 (Global: low place; English: low place)

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 (Global: 18^th place; English: 17^th place)

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.
Grady, L (2006). "Random walks for image segmentation" (PDF). IEEE Transactions on Pattern Analysis and Machine Intelligence. 28 (11): 1768–83. Bibcode:2006ITPAM..28.1768G. 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.
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. Bibcode:1996Evolu..50.1404H. doi:10.1111/j.1558-5646.1996.tb03914.x. ISSN 0014-3820. PMID 28565714.
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 (Global: 26^th place; English: 20^th place)

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 (Global: 415^th place; English: 327^th place)

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 (Global: 1,624^th place; English: 1,592^nd place)

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 (Global: 4^th place; English: 4^th place)

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.
Grady, L (2006). "Random walks for image segmentation" (PDF). IEEE Transactions on Pattern Analysis and Machine Intelligence. 28 (11): 1768–83. Bibcode:2006ITPAM..28.1768G. 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.
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.
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. Bibcode:1996Evolu..50.1404H. doi:10.1111/j.1558-5646.1996.tb03914.x. ISSN 0014-3820. PMID 28565714.
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.
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

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.
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.

oup.com (Global: 485^th place; English: 440^th place)

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. Bibcode:1996Evolu..50.1404H. doi:10.1111/j.1558-5646.1996.tb03914.x. ISSN 0014-3820. PMID 28565714.

projecteuclid.org (Global: 3,707^th place; English: 2,409^th place)

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 (Global: 207^th place; English: 136^th place)

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. Bibcode:2006ITPAM..28.1768G. 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 (Global: 11^th place; English: 8^th place)

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. Bibcode:2006ITPAM..28.1768G. 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.
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.
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.

uakron.edu (Global: low place; English: low place)

nebula.physics.uakron.edu

Diffusion equation for the random walk Archived 21 April 2015 at the Wayback Machine. physics.uakron.edu.

uci.edu (Global: 3,063^rd place; English: 2,041^st place)

oz.ss.uci.edu

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.

web.archive.org (Global: 1^st place; English: 1^st place)

Diffusion equation for the random walk Archived 21 April 2015 at the Wayback Machine. physics.uakron.edu.
Grady, L (2006). "Random walks for image segmentation" (PDF). IEEE Transactions on Pattern Analysis and Machine Intelligence. 28 (11): 1768–83. Bibcode:2006ITPAM..28.1768G. 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.
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.
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.

wired.com (Global: 193^rd place; English: 152^nd place)

Evan Mills (14 March 2017). "Hey! You Can Find Pi With a Random Walk. Here's How". WIRED.

wolfram.com (Global: 513^th place; English: 537^th place)

mathworld.wolfram.com

"Random Walk-1-Dimensional – from Wolfram MathWorld". Mathworld.wolfram.com. 26 April 2000. Retrieved 2 November 2016.
"Pólya's Random Walk Constants". Mathworld.wolfram.com. Retrieved 2 November 2016.

worldcat.org (Global: 5^th place; English: 5^th place)

search.worldcat.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.
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.
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.
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.
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. Bibcode:1996Evolu..50.1404H. doi:10.1111/j.1558-5646.1996.tb03914.x. ISSN 0014-3820. PMID 28565714.
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.

Random walk (English Wikipedia)

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