Brownian motion (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Brownian motion" in English language version.

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ams.org

Knight, Frank B. (1 February 1962). "On the random walk and Brownian motion". Transactions of the American Mathematical Society. 103 (2): 218–228. doi:10.1090/S0002-9947-1962-0139211-2. ISSN 0002-9947.
Grigor’yan, Alexander (19 February 1999). "Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds". Bulletin of the American Mathematical Society. 36 (2): 135–249. doi:10.1090/S0273-0979-99-00776-4. ISSN 0273-0979.

archive-it.org

wayback.archive-it.org

Li, Tongcang; Kheifets, Simon; Medellin, David; Raizen, Mark (2010). "Measurement of the instantaneous velocity of a Brownian particle" (PDF). Science. 328 (5986): 1673–1675. Bibcode:2010Sci...328.1673L. CiteSeerX 10.1.1.167.8245. doi:10.1126/science.1189403. PMID 20488989. S2CID 45828908. Archived from the original (PDF) on 31 March 2011.

archive.org

Perrin, Jean (1914). Atoms. London : Constable. p. 115.{{cite book}}: CS1 maint: publisher location (link)
Lavenda, Bernard H. (1985). Nonequilibrium Statistical Thermodynamics. John Wiley & Sons. p. 20. ISBN 978-0-471-90670-4.
Thomson, J. J. (1904). Electricity and Matter. Yale University Press. pp. 80–83.
Townsend, J.E.S. (1915). Electricity in Gases. Clarendon Press. p. 254.
Smoluchowski, M. M. (1906). "Sur le chemin moyen parcouru par les molécules d'un gaz et sur son rapport avec la théorie de la diffusion" [On the average path taken by gas molecules and its relation with the theory of diffusion]. Bulletin International de l'Académie des Sciences de Cracovie (in French): 202.
Smoluchowski, M. M. (1906). "Essai d'une théorie cinétique du mouvement Brownien et des milieux troubles" [Test of a kinetic theory of Brownian motion and turbid media]. Bulletin International de l'Académie des Sciences de Cracovie (in French): 577.

arxiv.org

Tsekov, Roumen (1995). "Brownian motion of molecules: the classical theory". Ann. Univ. Sofia. 88: 57. arXiv:1005.1490. Bibcode:1995AUSFC..88...57T. the behavior of a Brownian particle is quite irregular and can be described only in the frames of a statistical approach.
Reid, M. J.; Brunthaler, A. (2004). "The Proper Motion of Sagittarius A*. II. The Mass of Sagittarius A*". The Astrophysical Journal. 616 (2): 872–884. arXiv:astro-ph/0408107. Bibcode:2004ApJ...616..872R. doi:10.1086/424960. S2CID 16568545.
Sheffield, Scott (9 May 2007). "Gaussian free fields for mathematicians". Probability Theory and Related Fields. 139 (3–4): 521–541. arXiv:math/0312099. doi:10.1007/s00440-006-0050-1. ISSN 0178-8051.
Krapf, Diego; Marinari, Enzo; Metzler, Ralf; Oshanin, Gleb; Xu, Xinran; Squarcini, Alessio (2018). "Power spectral density of a single Brownian trajectory: what one can and cannot learn from it". New Journal of Physics. 20 (2): 023029. arXiv:1801.02986. Bibcode:2018NJPh...20b3029K. doi:10.1088/1367-2630/aaa67c. ISSN 1367-2630. S2CID 485685.

biodiversitylibrary.org

Brown, Robert, Bennett, John J., Hardwicke, Robert (1866). The miscellaneous botanical works of Robert Brown. Vol. 1. Published for the Ray society by R. Hardwicke. pp. 463–486.

books.google.com

Tabor, D. (1991). Gases, Liquids and Solids: And Other States of Matter (3rd ed.). Cambridge: Cambridge University Press. p. 120. ISBN 978-0-521-40667-3.

caltech.edu

feynmanlectures.caltech.edu

Feynman, Richard (1964). "The Brownian Movement". The Feynman Lectures of Physics, Volume I. p. 41.

cambridge.org

Mörters, Peter; Peres, Yuval (1 January 2001). Brownian Motion (1 ed.). Cambridge University Press. doi:10.1017/cbo9780511750489. ISBN 978-0-521-76018-8.
Maiocchi, Roberto (September 1990). "The case of Brownian motion". The British Journal for the History of Science. 23 (3): 257–283. doi:10.1017/S0007087400043983. ISSN 1474-001X.
Bass, Richard F. (2011). Stochastic Processes. Cambridge Series in Statistical and Probabilistic Mathematics. Cambridge: Cambridge University Press. doi:10.1017/cbo9780511997044. ISBN 978-1-107-00800-7.

csun.edu

Stachel, J., ed. (1989). "Einstein's Dissertation on the Determination of Molecular Dimensions" (PDF). The Collected Papers of Albert Einstein, Volume 2. Princeton University Press. Archived (PDF) from the original on 9 October 2022.

doi.org

Meyburg, Jan Philipp; Diesing, Detlef (2017). "Teaching the Growth, Ripening, and Agglomeration of Nanostructures in Computer Experiments". Journal of Chemical Education. 94 (9): 1225–1231. Bibcode:2017JChEd..94.1225M. doi:10.1021/acs.jchemed.6b01008.
Einstein, Albert (1905). "Über die von der molekularkinetischen Theorie der Wärme geforderte Bewegung von in ruhenden Flüssigkeiten suspendierten Teilchen" [On the Movement of Small Particles Suspended in Stationary Liquids Required by the Molecular-Kinetic Theory of Heat] (PDF). Annalen der Physik (in German). 322 (8): 549–560. Bibcode:1905AnP...322..549E. doi:10.1002/andp.19053220806. Archived (PDF) from the original on 9 October 2022.
Knight, Frank B. (1 February 1962). "On the random walk and Brownian motion". Transactions of the American Mathematical Society. 103 (2): 218–228. doi:10.1090/S0002-9947-1962-0139211-2. ISSN 0002-9947.
Mörters, Peter; Peres, Yuval (1 January 2001). Brownian Motion (1 ed.). Cambridge University Press. doi:10.1017/cbo9780511750489. ISBN 978-0-521-76018-8.
Grigor’yan, Alexander (19 February 1999). "Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds". Bulletin of the American Mathematical Society. 36 (2): 135–249. doi:10.1090/S0273-0979-99-00776-4. ISSN 0273-0979.
Li, Tongcang; Kheifets, Simon; Medellin, David; Raizen, Mark (2010). "Measurement of the instantaneous velocity of a Brownian particle" (PDF). Science. 328 (5986): 1673–1675. Bibcode:2010Sci...328.1673L. CiteSeerX 10.1.1.167.8245. doi:10.1126/science.1189403. PMID 20488989. S2CID 45828908. Archived from the original (PDF) on 31 March 2011.
Maiocchi, Roberto (September 1990). "The case of Brownian motion". The British Journal for the History of Science. 23 (3): 257–283. doi:10.1017/S0007087400043983. ISSN 1474-001X.
Haw, M D (26 August 2002). "Colloidal suspensions, Brownian motion, molecular reality: a short history". Journal of Physics: Condensed Matter. 14 (33): 7769–7779. doi:10.1088/0953-8984/14/33/315.
von Smoluchowski, M. (1906). "Zur kinetischen Theorie der Brownschen Molekularbewegung und der Suspensionen". Annalen der Physik (in German). 326 (14): 756–780. Bibcode:1906AnP...326..756V. doi:10.1002/andp.19063261405.
Reid, M. J.; Brunthaler, A. (2004). "The Proper Motion of Sagittarius A*. II. The Mass of Sagittarius A*". The Astrophysical Journal. 616 (2): 872–884. arXiv:astro-ph/0408107. Bibcode:2004ApJ...616..872R. doi:10.1086/424960. S2CID 16568545.
Bass, Richard F. (2011). Stochastic Processes. Cambridge Series in Statistical and Probabilistic Mathematics. Cambridge: Cambridge University Press. doi:10.1017/cbo9780511997044. ISBN 978-1-107-00800-7.
Sheffield, Scott (9 May 2007). "Gaussian free fields for mathematicians". Probability Theory and Related Fields. 139 (3–4): 521–541. arXiv:math/0312099. doi:10.1007/s00440-006-0050-1. ISSN 0178-8051.
Morozov, A. N.; Skripkin, A. V. (2011). "Spherical particle Brownian motion in viscous medium as non-Markovian random process". Physics Letters A. 375 (46): 4113–4115. Bibcode:2011PhLA..375.4113M. doi:10.1016/j.physleta.2011.10.001.
Karczub, D. G.; Norton, M. P. (2003). Fundamentals of Noise and Vibration Analysis for Engineers by M. P. Norton. doi:10.1017/cbo9781139163927. ISBN 9781139163927.
Krapf, Diego; Marinari, Enzo; Metzler, Ralf; Oshanin, Gleb; Xu, Xinran; Squarcini, Alessio (2018). "Power spectral density of a single Brownian trajectory: what one can and cannot learn from it". New Journal of Physics. 20 (2): 023029. arXiv:1801.02986. Bibcode:2018NJPh...20b3029K. doi:10.1088/1367-2630/aaa67c. ISSN 1367-2630. S2CID 485685.

encyclopediaofmath.org

"Donsker invariance principle - Encyclopedia of Mathematics". encyclopediaofmath.org. Retrieved 28 June 2020.

fu-berlin.de

users.physik.fu-berlin.de

Einstein, Albert (1956) [1926]. Investigations on the Theory of the Brownian Movement (PDF). Dover Publications. Archived (PDF) from the original on 9 October 2022. Retrieved 25 December 2013.

ghostarchive.org

Einstein, Albert (1905). "Über die von der molekularkinetischen Theorie der Wärme geforderte Bewegung von in ruhenden Flüssigkeiten suspendierten Teilchen" [On the Movement of Small Particles Suspended in Stationary Liquids Required by the Molecular-Kinetic Theory of Heat] (PDF). Annalen der Physik (in German). 322 (8): 549–560. Bibcode:1905AnP...322..549E. doi:10.1002/andp.19053220806. Archived (PDF) from the original on 9 October 2022.
Einstein, Albert (1956) [1926]. Investigations on the Theory of the Brownian Movement (PDF). Dover Publications. Archived (PDF) from the original on 9 October 2022. Retrieved 25 December 2013.
Stachel, J., ed. (1989). "Einstein's Dissertation on the Determination of Molecular Dimensions" (PDF). The Collected Papers of Albert Einstein, Volume 2. Princeton University Press. Archived (PDF) from the original on 9 October 2022.

harvard.edu

ui.adsabs.harvard.edu

Meyburg, Jan Philipp; Diesing, Detlef (2017). "Teaching the Growth, Ripening, and Agglomeration of Nanostructures in Computer Experiments". Journal of Chemical Education. 94 (9): 1225–1231. Bibcode:2017JChEd..94.1225M. doi:10.1021/acs.jchemed.6b01008.
Einstein, Albert (1905). "Über die von der molekularkinetischen Theorie der Wärme geforderte Bewegung von in ruhenden Flüssigkeiten suspendierten Teilchen" [On the Movement of Small Particles Suspended in Stationary Liquids Required by the Molecular-Kinetic Theory of Heat] (PDF). Annalen der Physik (in German). 322 (8): 549–560. Bibcode:1905AnP...322..549E. doi:10.1002/andp.19053220806. Archived (PDF) from the original on 9 October 2022.
Tsekov, Roumen (1995). "Brownian motion of molecules: the classical theory". Ann. Univ. Sofia. 88: 57. arXiv:1005.1490. Bibcode:1995AUSFC..88...57T. the behavior of a Brownian particle is quite irregular and can be described only in the frames of a statistical approach.
Li, Tongcang; Kheifets, Simon; Medellin, David; Raizen, Mark (2010). "Measurement of the instantaneous velocity of a Brownian particle" (PDF). Science. 328 (5986): 1673–1675. Bibcode:2010Sci...328.1673L. CiteSeerX 10.1.1.167.8245. doi:10.1126/science.1189403. PMID 20488989. S2CID 45828908. Archived from the original (PDF) on 31 March 2011.
von Smoluchowski, M. (1906). "Zur kinetischen Theorie der Brownschen Molekularbewegung und der Suspensionen". Annalen der Physik (in German). 326 (14): 756–780. Bibcode:1906AnP...326..756V. doi:10.1002/andp.19063261405.
Reid, M. J.; Brunthaler, A. (2004). "The Proper Motion of Sagittarius A*. II. The Mass of Sagittarius A*". The Astrophysical Journal. 616 (2): 872–884. arXiv:astro-ph/0408107. Bibcode:2004ApJ...616..872R. doi:10.1086/424960. S2CID 16568545.
Morozov, A. N.; Skripkin, A. V. (2011). "Spherical particle Brownian motion in viscous medium as non-Markovian random process". Physics Letters A. 375 (46): 4113–4115. Bibcode:2011PhLA..375.4113M. doi:10.1016/j.physleta.2011.10.001.
Krapf, Diego; Marinari, Enzo; Metzler, Ralf; Oshanin, Gleb; Xu, Xinran; Squarcini, Alessio (2018). "Power spectral density of a single Brownian trajectory: what one can and cannot learn from it". New Journal of Physics. 20 (2): 023029. arXiv:1801.02986. Bibcode:2018NJPh...20b3029K. doi:10.1088/1367-2630/aaa67c. ISSN 1367-2630. S2CID 485685.

iop.org

iopscience.iop.org

Haw, M D (26 August 2002). "Colloidal suspensions, Brownian motion, molecular reality: a short history". Journal of Physics: Condensed Matter. 14 (33): 7769–7779. doi:10.1088/0953-8984/14/33/315.
Krapf, Diego; Marinari, Enzo; Metzler, Ralf; Oshanin, Gleb; Xu, Xinran; Squarcini, Alessio (2018). "Power spectral density of a single Brownian trajectory: what one can and cannot learn from it". New Journal of Physics. 20 (2): 023029. arXiv:1801.02986. Bibcode:2018NJPh...20b3029K. doi:10.1088/1367-2630/aaa67c. ISSN 1367-2630. S2CID 485685.

jstor.org

Brush, Stephen G. (1968). "A History of Random Processes: I. Brownian Movement from Brown to Perrin". Archive for History of Exact Sciences. 5 (1): 1–36. ISSN 0003-9519.

nih.gov

pubmed.ncbi.nlm.nih.gov

Li, Tongcang; Kheifets, Simon; Medellin, David; Raizen, Mark (2010). "Measurement of the instantaneous velocity of a Brownian particle" (PDF). Science. 328 (5986): 1673–1675. Bibcode:2010Sci...328.1673L. CiteSeerX 10.1.1.167.8245. doi:10.1126/science.1189403. PMID 20488989. S2CID 45828908. Archived from the original (PDF) on 31 March 2011.

nobelprize.org

"The Nobel Prize in Physics 1926". NobelPrize.org. Retrieved 29 May 2019.

openlibrary.org

Merritt, David (2013). Dynamics and Evolution of Galactic Nuclei. Princeton University Press. p. 575. ISBN 9781400846122. OL 16802359W.

psu.edu

citeseerx.ist.psu.edu

Li, Tongcang; Kheifets, Simon; Medellin, David; Raizen, Mark (2010). "Measurement of the instantaneous velocity of a Brownian particle" (PDF). Science. 328 (5986): 1673–1675. Bibcode:2010Sci...328.1673L. CiteSeerX 10.1.1.167.8245. doi:10.1126/science.1189403. PMID 20488989. S2CID 45828908. Archived from the original (PDF) on 31 March 2011.

semanticscholar.org

api.semanticscholar.org

Li, Tongcang; Kheifets, Simon; Medellin, David; Raizen, Mark (2010). "Measurement of the instantaneous velocity of a Brownian particle" (PDF). Science. 328 (5986): 1673–1675. Bibcode:2010Sci...328.1673L. CiteSeerX 10.1.1.167.8245. doi:10.1126/science.1189403. PMID 20488989. S2CID 45828908. Archived from the original (PDF) on 31 March 2011.
Reid, M. J.; Brunthaler, A. (2004). "The Proper Motion of Sagittarius A*. II. The Mass of Sagittarius A*". The Astrophysical Journal. 616 (2): 872–884. arXiv:astro-ph/0408107. Bibcode:2004ApJ...616..872R. doi:10.1086/424960. S2CID 16568545.
Krapf, Diego; Marinari, Enzo; Metzler, Ralf; Oshanin, Gleb; Xu, Xinran; Squarcini, Alessio (2018). "Power spectral density of a single Brownian trajectory: what one can and cannot learn from it". New Journal of Physics. 20 (2): 023029. arXiv:1801.02986. Bibcode:2018NJPh...20b3029K. doi:10.1088/1367-2630/aaa67c. ISSN 1367-2630. S2CID 485685.

springer.com

link.springer.com

Sheffield, Scott (9 May 2007). "Gaussian free fields for mathematicians". Probability Theory and Related Fields. 139 (3–4): 521–541. arXiv:math/0312099. doi:10.1007/s00440-006-0050-1. ISSN 0178-8051.

uni-augsburg.de

physik.uni-augsburg.de

Einstein, Albert (1905). "Über die von der molekularkinetischen Theorie der Wärme geforderte Bewegung von in ruhenden Flüssigkeiten suspendierten Teilchen" [On the Movement of Small Particles Suspended in Stationary Liquids Required by the Molecular-Kinetic Theory of Heat] (PDF). Annalen der Physik (in German). 322 (8): 549–560. Bibcode:1905AnP...322..549E. doi:10.1002/andp.19053220806. Archived (PDF) from the original on 9 October 2022.

utexas.edu

chaos.utexas.edu

Li, Tongcang; Kheifets, Simon; Medellin, David; Raizen, Mark (2010). "Measurement of the instantaneous velocity of a Brownian particle" (PDF). Science. 328 (5986): 1673–1675. Bibcode:2010Sci...328.1673L. CiteSeerX 10.1.1.167.8245. doi:10.1126/science.1189403. PMID 20488989. S2CID 45828908. Archived from the original (PDF) on 31 March 2011.

worldcat.org

search.worldcat.org

Knight, Frank B. (1 February 1962). "On the random walk and Brownian motion". Transactions of the American Mathematical Society. 103 (2): 218–228. doi:10.1090/S0002-9947-1962-0139211-2. ISSN 0002-9947.
Brush, Stephen G. (1968). "A History of Random Processes: I. Brownian Movement from Brown to Perrin". Archive for History of Exact Sciences. 5 (1): 1–36. ISSN 0003-9519.
Grigor’yan, Alexander (19 February 1999). "Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds". Bulletin of the American Mathematical Society. 36 (2): 135–249. doi:10.1090/S0273-0979-99-00776-4. ISSN 0273-0979.
Maiocchi, Roberto (September 1990). "The case of Brownian motion". The British Journal for the History of Science. 23 (3): 257–283. doi:10.1017/S0007087400043983. ISSN 1474-001X.
Sheffield, Scott (9 May 2007). "Gaussian free fields for mathematicians". Probability Theory and Related Fields. 139 (3–4): 521–541. arXiv:math/0312099. doi:10.1007/s00440-006-0050-1. ISSN 0178-8051.
Krapf, Diego; Marinari, Enzo; Metzler, Ralf; Oshanin, Gleb; Xu, Xinran; Squarcini, Alessio (2018). "Power spectral density of a single Brownian trajectory: what one can and cannot learn from it". New Journal of Physics. 20 (2): 023029. arXiv:1801.02986. Bibcode:2018NJPh...20b3029K. doi:10.1088/1367-2630/aaa67c. ISSN 1367-2630. S2CID 485685.

zenodo.org

von Smoluchowski, M. (1906). "Zur kinetischen Theorie der Brownschen Molekularbewegung und der Suspensionen". Annalen der Physik (in German). 326 (14): 756–780. Bibcode:1906AnP...326..756V. doi:10.1002/andp.19063261405.