Markov chain (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Markov chain" in English language version.

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archive.org

Charles Miller Grinstead; James Laurie Snell (1997). Introduction to Probability. American Mathematical Soc. pp. 464–466. ISBN 978-0-8218-0749-1.
Seneta, E. (Eugene) (1973). Non-negative matrices; an introduction to theory and applications. Internet Archive. New York, Wiley. ISBN 978-0-470-77605-6.
Seneta, E. (Eugene) (1973). "2.4. Combinatorial properties". Non-negative matrices; an introduction to theory and applications. Internet Archive. New York, Wiley. ISBN 978-0-470-77605-6.
Hartman, Charles (1996). Virtual Muse: Experiments in Computer Poetry. Hanover, NH: Wesleyan University Press. ISBN 978-0-8195-2239-9.

arxiv.org

Du, Chao; Kou, S. C. (September 2012). "Correlation analysis of enzymatic reaction of a single protein molecule". The Annals of Applied Statistics. 6 (3): 950–976. arXiv:1209.6210. Bibcode:2012arXiv1209.6210D. doi:10.1214/12-aoas541. PMC 3568780. PMID 23408514.

bactra.org

Shalizi, Cosma (1 Dec 2023). "Ergodic Theory". bactra.org. Retrieved 2024-02-01.

books.google.com

Sean Meyn; Richard L. Tweedie (2 April 2009). Markov Chains and Stochastic Stability. Cambridge University Press. p. 3. ISBN 978-0-521-73182-9.
Reuven Y. Rubinstein; Dirk P. Kroese (20 September 2011). Simulation and the Monte Carlo Method. John Wiley & Sons. p. 225. ISBN 978-1-118-21052-9.
Dani Gamerman; Hedibert F. Lopes (10 May 2006). Markov Chain Monte Carlo: Stochastic Simulation for Bayesian Inference, Second Edition. CRC Press. ISBN 978-1-58488-587-0.
Søren Asmussen (15 May 2003). Applied Probability and Queues. Springer Science & Business Media. p. 7. ISBN 978-0-387-00211-8.
Emanuel Parzen (17 June 2015). Stochastic Processes. Courier Dover Publications. p. 188. ISBN 978-0-486-79688-8.
Samuel Karlin; Howard E. Taylor (2 December 2012). A First Course in Stochastic Processes. Academic Press. pp. 29 and 30. ISBN 978-0-08-057041-9.
John Lamperti (1977). Stochastic processes: a survey of the mathematical theory. Springer-Verlag. pp. 106–121. ISBN 978-3-540-90275-1.
Sheldon M. Ross (1996). Stochastic processes. Wiley. pp. 174 and 231. ISBN 978-0-471-12062-9.
Pierre Bremaud (9 March 2013). Markov Chains: Gibbs Fields, Monte Carlo Simulation, and Queues. Springer Science & Business Media. p. ix. ISBN 978-1-4757-3124-8.
Sheldon M. Ross (1996). Stochastic processes. Wiley. pp. 235 and 358. ISBN 978-0-471-12062-9.
Marc Barbut; Bernard Locker; Laurent Mazliak (23 August 2016). Paul Lévy and Maurice Fréchet: 50 Years of Correspondence in 107 Letters. Springer London. p. 5. ISBN 978-1-4471-7262-8.
Valeriy Skorokhod (5 December 2005). Basic Principles and Applications of Probability Theory. Springer Science & Business Media. p. 146. ISBN 978-3-540-26312-8.
William J. Anderson (6 December 2012). Continuous-Time Markov Chains: An Applications-Oriented Approach. Springer Science & Business Media. p. vii. ISBN 978-1-4612-3038-0.
Ionut Florescu (7 November 2014). Probability and Stochastic Processes. John Wiley & Sons. pp. 373 and 374. ISBN 978-1-118-59320-2.
Samuel Karlin; Howard E. Taylor (2 December 2012). A First Course in Stochastic Processes. Academic Press. p. 49. ISBN 978-0-08-057041-9.
Michael F. Shlesinger (1985). The Wonderful world of stochastics: a tribute to Elliott W. Montroll. North-Holland. pp. 8–10. ISBN 978-0-444-86937-1.
Emanuel Parzen (17 June 2015). Stochastic Processes. Courier Dover Publications. p. 7, 8. ISBN 978-0-486-79688-8.
Joseph L. Doob (1990). Stochastipoic processes. Wiley. p. 46, 47.
Donald L. Snyder; Michael I. Miller (6 December 2012). Random Point Processes in Time and Space. Springer Science & Business Media. p. 32. ISBN 978-1-4612-3166-0.
Dobrushin, R. L.; Kryukov, V. I.; Toom, A. L. (1978). Stochastic Cellular Systems: Ergodicity, Memory, Morphogenesis. Manchester University Press. ISBN 9780719022067. Retrieved 2016-03-04.
Gupta, Brij; Agrawal, Dharma P.; Yamaguchi, Shingo (16 May 2016). Handbook of Research on Modern Cryptographic Solutions for Computer and Cyber Security. IGI Global. pp. 448–. ISBN 978-1-5225-0106-0.

cenet.org.cn

bbs.cenet.org.cn

Brennan, Michael; Xiab, Yihong. "Stock Price Volatility and the Equity Premium" (PDF). Department of Finance, the Anderson School of Management, UCLA. Archived from the original (PDF) on 2008-12-28.

columbia.edu

"A Markov Chain Example in Credit Risk Modelling" (PDF). Columbia University. Archived from the original (PDF) on March 24, 2016.

dartmouth.edu

"Chapter 11 "Markov Chains"" (PDF). Retrieved 2017-06-02.

doi.org

Hayes, Brian (2013). "First links in the Markov chain". American Scientist. 101 (2): 92–96. doi:10.1511/2013.101.92.
Jarrow, Robert; Protter, Philip (2004). "A short history of stochastic integration and mathematical finance: The early years, 1880–1970". A Festschrift for Herman Rubin. pp. 75–91. CiteSeerX 10.1.1.114.632. doi:10.1214/lnms/1196285381. ISBN 978-0-940600-61-4.
Guttorp, Peter; Thorarinsdottir, Thordis L. (2012). "What Happened to Discrete Chaos, the Quenouille Process, and the Sharp Markov Property? Some History of Stochastic Point Processes". International Statistical Review. 80 (2): 253–268. doi:10.1111/j.1751-5823.2012.00181.x.
Seneta, E. (1996). "Markov and the Birth of Chain Dependence Theory". International Statistical Review. 64 (3): 255–257. doi:10.2307/1403785. JSTOR 1403785.
Seneta, E. (1998). "I.J. Bienaymé [1796–1878]: Criticality, Inequality, and Internationalization". International Statistical Review. 66 (3): 291–292. doi:10.2307/1403518. JSTOR 1403518.
Bru B, Hertz S (2001). "Maurice Fréchet". In Heyde CC, Seneta E, Crépel P, Fienberg SE, Gani J (eds.). Statisticians of the Centuries. New York, NY: Springer. pp. 331–334. doi:10.1007/978-1-4613-0179-0_71. ISBN 978-0-387-95283-3.
Kendall, D. G.; Batchelor, G. K.; Bingham, N. H.; Hayman, W. K.; Hyland, J. M. E.; Lorentz, G. G.; Moffatt, H. K.; Parry, W.; Razborov, A. A.; Robinson, C. A.; Whittle, P. (1990). "Andrei Nikolaevich Kolmogorov (1903–1987)". Bulletin of the London Mathematical Society. 22 (1): 33. doi:10.1112/blms/22.1.31.
Cramér, Harald (1976). "Half a Century with Probability Theory: Some Personal Recollections". The Annals of Probability. 4 (4): 509–546. doi:10.1214/aop/1176996025.
Bernstein, Jeremy (2005). "Bachelier". American Journal of Physics. 73 (5): 395–398. Bibcode:2005AmJPh..73..395B. doi:10.1119/1.1848117.
Kendall, D. G.; Batchelor, G. K.; Bingham, N. H.; Hayman, W. K.; Hyland, J. M. E.; Lorentz, G. G.; Moffatt, H. K.; Parry, W.; Razborov, A. A.; Robinson, C. A.; Whittle, P. (1990). "Andrei Nikolaevich Kolmogorov (1903–1987)". Bulletin of the London Mathematical Society. 22 (1): 57. doi:10.1112/blms/22.1.31.
Weiss, George H. (2006). "Random Walks". Encyclopedia of Statistical Sciences. p. 1. doi:10.1002/0471667196.ess2180.pub2. ISBN 978-0471667193.
Norris, J. R. (1997). "Continuous-time Markov chains I". Markov Chains. pp. 60–107. doi:10.1017/CBO9780511810633.004. ISBN 9780511810633.
Serfozo, Richard (2009). Basics of Applied Stochastic Processes. Berlin: Springer. doi:10.1007/978-3-540-89332-5. ISBN 978-3-540-89331-8.
Rosenthal, Jeffrey S. (1995). "Convergence Rates for Markov Chains". SIAM Review. 37 (3): 387–405. doi:10.1137/1037083. JSTOR 2132659. Retrieved 2021-05-31.
Franzke, Brandon; Kosko, Bart (1 October 2011). "Noise can speed convergence in Markov chains". Physical Review E. 84 (4): 041112. Bibcode:2011PhRvE..84d1112F. doi:10.1103/PhysRevE.84.041112. PMID 22181092.
Spitzer, Frank (1970). "Interaction of Markov Processes". Advances in Mathematics. 5 (2): 246–290. doi:10.1016/0001-8708(70)90034-4.
Shen, Jian (1996-10-15). "An improvement of the Dulmage-Mendelsohn theorem". Discrete Mathematics. 158 (1): 295–297. doi:10.1016/0012-365X(95)00060-A.
Norris, J. R. (1997). "Continuous-time Markov chains II". Markov Chains. pp. 108–127. doi:10.1017/CBO9780511810633.005. ISBN 9780511810633.
Matthew Nicol and Karl Petersen, (2009) "Ergodic Theory: Basic Examples and Constructions", Encyclopedia of Complexity and Systems Science, Springer https://doi.org/10.1007/978-0-387-30440-3_177
van Ravenzwaaij, Don; Cassey, Pete; Brown, Scott D. (2016-03-11). "A simple introduction to Markov Chain Monte–Carlo sampling". Psychonomic Bulletin & Review. 25 (1): 143–154. doi:10.3758/s13423-016-1015-8. PMC 5862921. PMID 26968853.
Gattringer, Christof; Lang, Christian B (2010). Quantum Chromodynamics on the Lattice. Lecture Notes in Physics. Vol. 788. Springer-Verlag Berlin Heidelberg. doi:10.1007/978-3-642-01850-3. ISBN 978-3-642-01849-7.
Anderson, David F.; Kurtz, Thomas G. (2011), "Continuous Time Markov Chain Models for Chemical Reaction Networks", Design and Analysis of Biomolecular Circuits, Springer New York, pp. 3–42, doi:10.1007/978-1-4419-6766-4_1, ISBN 9781441967657
Du, Chao; Kou, S. C. (September 2012). "Correlation analysis of enzymatic reaction of a single protein molecule". The Annals of Applied Statistics. 6 (3): 950–976. arXiv:1209.6210. Bibcode:2012arXiv1209.6210D. doi:10.1214/12-aoas541. PMC 3568780. PMID 23408514.
Kutchukian, Peter; Lou, David; Shakhnovich, Eugene (2009). "FOG: Fragment Optimized Growth Algorithm for the de Novo Generation of Molecules occupying Druglike Chemical". Journal of Chemical Information and Modeling. 49 (7): 1630–1642. doi:10.1021/ci9000458. PMID 19527020.
Kutchukian, Peter S.; Lou, David; Shakhnovich, Eugene I. (2009-06-15). "FOG: Fragment Optimized Growth Algorithm for the de Novo Generation of Molecules Occupying Druglike Chemical Space". Journal of Chemical Information and Modeling. 49 (7): 1630–1642. doi:10.1021/ci9000458. PMID 19527020.
Kopp, V. S.; Kaganer, V. M.; Schwarzkopf, J.; Waidick, F.; Remmele, T.; Kwasniewski, A.; Schmidbauer, M. (2011). "X-ray diffraction from nonperiodic layered structures with correlations: Analytical calculation and experiment on mixed Aurivillius films". Acta Crystallographica Section A. 68 (Pt 1): 148–155. Bibcode:2012AcCrA..68..148K. doi:10.1107/S0108767311044874. PMID 22186291.
George, Dileep; Hawkins, Jeff (2009). Friston, Karl J. (ed.). "Towards a Mathematical Theory of Cortical Micro-circuits". PLOS Comput Biol. 5 (10): e1000532. Bibcode:2009PLSCB...5E0532G. doi:10.1371/journal.pcbi.1000532. PMC 2749218. PMID 19816557.
Gupta, Ankur; Rawlings, James B. (April 2014). "Comparison of Parameter Estimation Methods in Stochastic Chemical Kinetic Models: Examples in Systems Biology". AIChE Journal. 60 (4): 1253–1268. Bibcode:2014AIChE..60.1253G. doi:10.1002/aic.14409. PMC 4946376. PMID 27429455.
Aguiar, R. J.; Collares-Pereira, M.; Conde, J. P. (1988). "Simple procedure for generating sequences of daily radiation values using a library of Markov transition matrices". Solar Energy. 40 (3): 269–279. Bibcode:1988SoEn...40..269A. doi:10.1016/0038-092X(88)90049-7.
Ngoko, B. O.; Sugihara, H.; Funaki, T. (2014). "Synthetic generation of high temporal resolution solar radiation data using Markov models". Solar Energy. 103: 160–170. Bibcode:2014SoEn..103..160N. doi:10.1016/j.solener.2014.02.026.
Bright, J. M.; Smith, C. I.; Taylor, P. G.; Crook, R. (2015). "Stochastic generation of synthetic minutely irradiance time series derived from mean hourly weather observation data". Solar Energy. 115: 229–242. Bibcode:2015SoEn..115..229B. doi:10.1016/j.solener.2015.02.032.
Munkhammar, J.; Widén, J. (2018). "An N-state Markov-chain mixture distribution model of the clear-sky index". Solar Energy. 173: 487–495. Bibcode:2018SoEn..173..487M. doi:10.1016/j.solener.2018.07.056.
Morf, H. (1998). "The stochastic two-state solar irradiance model (STSIM)". Solar Energy. 62 (2): 101–112. Bibcode:1998SoEn...62..101M. doi:10.1016/S0038-092X(98)00004-8.
Munkhammar, J.; Widén, J. (2018). "A Markov-chain probability distribution mixture approach to the clear-sky index". Solar Energy. 170: 174–183. Bibcode:2018SoEn..170..174M. doi:10.1016/j.solener.2018.05.055.
Mor, Bhavya; Garhwal, Sunita; Kumar, Ajay (May 2021). "A Systematic Review of Hidden Markov Models and Their Applications". Archives of Computational Methods in Engineering. 28 (3): 1429–1448. doi:10.1007/s11831-020-09422-4. ISSN 1134-3060.
Pratas, D; Silva, R; Pinho, A; Ferreira, P (May 18, 2015). "An alignment-free method to find and visualise rearrangements between pairs of DNA sequences". Scientific Reports. 5 (10203): 10203. Bibcode:2015NatSR...510203P. doi:10.1038/srep10203. PMC 4434998. PMID 25984837.
Langville, Amy N.; Meyer, Carl D. (2006). "A Reordering for the PageRank Problem" (PDF). SIAM Journal on Scientific Computing. 27 (6): 2112–2113. Bibcode:2006SJSC...27.2112L. CiteSeerX 10.1.1.58.8652. doi:10.1137/040607551.
Champernowne, D (1953). "A model of income distribution". The Economic Journal. 63 (250): 318–51. doi:10.2307/2227127. JSTOR 2227127.
Bachelier, Louis (1900). "Théorie de la spéculation". Annales Scientifiques de l'École Normale Supérieure. 3: 21–86. doi:10.24033/asens.476. hdl:2027/coo.31924001082803.
Hamilton, James (1989). "A new approach to the economic analysis of nonstationary time series and the business cycle". Econometrica. 57 (2): 357–84. CiteSeerX 10.1.1.397.3582. doi:10.2307/1912559. JSTOR 1912559.
Calvet, Laurent E.; Fisher, Adlai J. (2001). "Forecasting Multifractal Volatility". Journal of Econometrics. 105 (1): 27–58. doi:10.1016/S0304-4076(01)00069-0.
Calvet, Laurent; Adlai Fisher (2004). "How to Forecast long-run volatility: regime-switching and the estimation of multifractal processes". Journal of Financial Econometrics. 2: 49–83. CiteSeerX 10.1.1.536.8334. doi:10.1093/jjfinec/nbh003.
Acemoglu, Daron; Georgy Egorov; Konstantin Sonin (2011). "Political model of social evolution". Proceedings of the National Academy of Sciences. 108 (Suppl 4): 21292–21296. Bibcode:2011PNAS..10821292A. CiteSeerX 10.1.1.225.6090. doi:10.1073/pnas.1019454108. PMC 3271566. PMID 22198760.
K McAlpine; E Miranda; S Hoggar (1999). "Making Music with Algorithms: A Case-Study System". Computer Music Journal. 23 (2): 19–30. doi:10.1162/014892699559733.
Carpinone, A; Giorgio, M; Langella, R.; Testa, A. (2015). "Markov chain modeling for very-short-term wind power forecasting". Electric Power Systems Research. 122: 152–158. doi:10.1016/j.epsr.2014.12.025.
Woo, Gordon (2002-04-01). "Quantitative Terrorism Risk Assessment". The Journal of Risk Finance. 4 (1): 7–14. doi:10.1108/eb022949. Retrieved 5 October 2023.
Munkhammar, J.; van der Meer, D.W.; Widén, J. (2019). "Probabilistic forecasting of high-resolution clear-sky index time-series using a Markov-chain mixture distribution model". Solar Energy. 184: 688–695. Bibcode:2019SoEn..184..688M. doi:10.1016/j.solener.2019.04.014.

emerald.com

Woo, Gordon (2002-04-01). "Quantitative Terrorism Risk Assessment". The Journal of Risk Finance. 4 (1): 7–14. doi:10.1108/eb022949. Retrieved 5 October 2023.

fieralingue.it

"Poet's Corner – Fieralingue". Archived from the original on December 6, 2010.

handle.net

hdl.handle.net

Bachelier, Louis (1900). "Théorie de la spéculation". Annales Scientifiques de l'École Normale Supérieure. 3: 21–86. doi:10.24033/asens.476. hdl:2027/coo.31924001082803.

harvard.edu

ui.adsabs.harvard.edu

Bernstein, Jeremy (2005). "Bachelier". American Journal of Physics. 73 (5): 395–398. Bibcode:2005AmJPh..73..395B. doi:10.1119/1.1848117.
Franzke, Brandon; Kosko, Bart (1 October 2011). "Noise can speed convergence in Markov chains". Physical Review E. 84 (4): 041112. Bibcode:2011PhRvE..84d1112F. doi:10.1103/PhysRevE.84.041112. PMID 22181092.
Du, Chao; Kou, S. C. (September 2012). "Correlation analysis of enzymatic reaction of a single protein molecule". The Annals of Applied Statistics. 6 (3): 950–976. arXiv:1209.6210. Bibcode:2012arXiv1209.6210D. doi:10.1214/12-aoas541. PMC 3568780. PMID 23408514.
Kopp, V. S.; Kaganer, V. M.; Schwarzkopf, J.; Waidick, F.; Remmele, T.; Kwasniewski, A.; Schmidbauer, M. (2011). "X-ray diffraction from nonperiodic layered structures with correlations: Analytical calculation and experiment on mixed Aurivillius films". Acta Crystallographica Section A. 68 (Pt 1): 148–155. Bibcode:2012AcCrA..68..148K. doi:10.1107/S0108767311044874. PMID 22186291.
George, Dileep; Hawkins, Jeff (2009). Friston, Karl J. (ed.). "Towards a Mathematical Theory of Cortical Micro-circuits". PLOS Comput Biol. 5 (10): e1000532. Bibcode:2009PLSCB...5E0532G. doi:10.1371/journal.pcbi.1000532. PMC 2749218. PMID 19816557.
Gupta, Ankur; Rawlings, James B. (April 2014). "Comparison of Parameter Estimation Methods in Stochastic Chemical Kinetic Models: Examples in Systems Biology". AIChE Journal. 60 (4): 1253–1268. Bibcode:2014AIChE..60.1253G. doi:10.1002/aic.14409. PMC 4946376. PMID 27429455.
Aguiar, R. J.; Collares-Pereira, M.; Conde, J. P. (1988). "Simple procedure for generating sequences of daily radiation values using a library of Markov transition matrices". Solar Energy. 40 (3): 269–279. Bibcode:1988SoEn...40..269A. doi:10.1016/0038-092X(88)90049-7.
Ngoko, B. O.; Sugihara, H.; Funaki, T. (2014). "Synthetic generation of high temporal resolution solar radiation data using Markov models". Solar Energy. 103: 160–170. Bibcode:2014SoEn..103..160N. doi:10.1016/j.solener.2014.02.026.
Bright, J. M.; Smith, C. I.; Taylor, P. G.; Crook, R. (2015). "Stochastic generation of synthetic minutely irradiance time series derived from mean hourly weather observation data". Solar Energy. 115: 229–242. Bibcode:2015SoEn..115..229B. doi:10.1016/j.solener.2015.02.032.
Munkhammar, J.; Widén, J. (2018). "An N-state Markov-chain mixture distribution model of the clear-sky index". Solar Energy. 173: 487–495. Bibcode:2018SoEn..173..487M. doi:10.1016/j.solener.2018.07.056.
Morf, H. (1998). "The stochastic two-state solar irradiance model (STSIM)". Solar Energy. 62 (2): 101–112. Bibcode:1998SoEn...62..101M. doi:10.1016/S0038-092X(98)00004-8.
Munkhammar, J.; Widén, J. (2018). "A Markov-chain probability distribution mixture approach to the clear-sky index". Solar Energy. 170: 174–183. Bibcode:2018SoEn..170..174M. doi:10.1016/j.solener.2018.05.055.
Pratas, D; Silva, R; Pinho, A; Ferreira, P (May 18, 2015). "An alignment-free method to find and visualise rearrangements between pairs of DNA sequences". Scientific Reports. 5 (10203): 10203. Bibcode:2015NatSR...510203P. doi:10.1038/srep10203. PMC 4434998. PMID 25984837.
Langville, Amy N.; Meyer, Carl D. (2006). "A Reordering for the PageRank Problem" (PDF). SIAM Journal on Scientific Computing. 27 (6): 2112–2113. Bibcode:2006SJSC...27.2112L. CiteSeerX 10.1.1.58.8652. doi:10.1137/040607551.
Acemoglu, Daron; Georgy Egorov; Konstantin Sonin (2011). "Political model of social evolution". Proceedings of the National Academy of Sciences. 108 (Suppl 4): 21292–21296. Bibcode:2011PNAS..10821292A. CiteSeerX 10.1.1.225.6090. doi:10.1073/pnas.1019454108. PMC 3271566. PMID 22198760.
Munkhammar, J.; van der Meer, D.W.; Widén, J. (2019). "Probabilistic forecasting of high-resolution clear-sky index time-series using a Markov-chain mixture distribution model". Solar Energy. 184: 688–695. Bibcode:2019SoEn..184..688M. doi:10.1016/j.solener.2019.04.014.

jstor.org

Seneta, E. (1996). "Markov and the Birth of Chain Dependence Theory". International Statistical Review. 64 (3): 255–257. doi:10.2307/1403785. JSTOR 1403785.
Seneta, E. (1998). "I.J. Bienaymé [1796–1878]: Criticality, Inequality, and Internationalization". International Statistical Review. 66 (3): 291–292. doi:10.2307/1403518. JSTOR 1403518.
Rosenthal, Jeffrey S. (1995). "Convergence Rates for Markov Chains". SIAM Review. 37 (3): 387–405. doi:10.1137/1037083. JSTOR 2132659. Retrieved 2021-05-31.
Champernowne, D (1953). "A model of income distribution". The Economic Journal. 63 (250): 318–51. doi:10.2307/2227127. JSTOR 2227127.
Hamilton, James (1989). "A new approach to the economic analysis of nonstationary time series and the business cycle". Econometrica. 57 (2): 357–84. CiteSeerX 10.1.1.397.3582. doi:10.2307/1912559. JSTOR 1912559.

libretexts.org

math.libretexts.org

"10.3: Regular Markov Chains". Mathematics LibreTexts. 2020-03-22. Retrieved 2024-02-01.

nber.org

conference.nber.org

Woo, Gordon (December 2003). "Insuring Against Al-Quaeda" (PDF). Cambridge: National Bureau of Economic Research. Retrieved 26 March 2024.

ncsu.edu

meyer.math.ncsu.edu

Langville, Amy N.; Meyer, Carl D. (2006). "A Reordering for the PageRank Problem" (PDF). SIAM Journal on Scientific Computing. 27 (6): 2112–2113. Bibcode:2006SJSC...27.2112L. CiteSeerX 10.1.1.58.8652. doi:10.1137/040607551.

nih.gov

pubmed.ncbi.nlm.nih.gov

Franzke, Brandon; Kosko, Bart (1 October 2011). "Noise can speed convergence in Markov chains". Physical Review E. 84 (4): 041112. Bibcode:2011PhRvE..84d1112F. doi:10.1103/PhysRevE.84.041112. PMID 22181092.
van Ravenzwaaij, Don; Cassey, Pete; Brown, Scott D. (2016-03-11). "A simple introduction to Markov Chain Monte–Carlo sampling". Psychonomic Bulletin & Review. 25 (1): 143–154. doi:10.3758/s13423-016-1015-8. PMC 5862921. PMID 26968853.
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