Markov chains or the game of structure and chance. From Complex Networks, to Language Evolution, to Musical Compositions
Blanchard P, Dawin JR, Volchenkov D (2010)
EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS 184(1): 1-82.
Zeitschriftenaufsatz
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Autor*in
Blanchard, PhilippeUniBi;
Dawin, J. R.;
Volchenkov, DimitryUniBi
Einrichtung
Abstract / Bemerkung
Markov chains provide us with a powerful tool for studying the structure of graphs and databases in details. We review the method of generalized inverses for Markov chains and apply it for the analysis of urban structures, evolution of languages, and musical compositions. We also discuss a generalization of L,vy flights over large complex networks and study the interplay between the nonlinearity of diffusion process and the topological structure of the network.
Erscheinungsjahr
2010
Zeitschriftentitel
EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS
Band
184
Ausgabe
1
Seite(n)
1-82
ISSN
1951-6355
eISSN
1951-6401
Page URI
https://pub.uni-bielefeld.de/record/1794633
Zitieren
Blanchard P, Dawin JR, Volchenkov D. Markov chains or the game of structure and chance. From Complex Networks, to Language Evolution, to Musical Compositions. EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS. 2010;184(1):1-82.
Blanchard, P., Dawin, J. R., & Volchenkov, D. (2010). Markov chains or the game of structure and chance. From Complex Networks, to Language Evolution, to Musical Compositions. EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 184(1), 1-82. https://doi.org/10.1140/epjst/e2010-01232-1
Blanchard, Philippe, Dawin, J. R., and Volchenkov, Dimitry. 2010. “Markov chains or the game of structure and chance. From Complex Networks, to Language Evolution, to Musical Compositions”. EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS 184 (1): 1-82.
Blanchard, P., Dawin, J. R., and Volchenkov, D. (2010). Markov chains or the game of structure and chance. From Complex Networks, to Language Evolution, to Musical Compositions. EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS 184, 1-82.
Blanchard, P., Dawin, J.R., & Volchenkov, D., 2010. Markov chains or the game of structure and chance. From Complex Networks, to Language Evolution, to Musical Compositions. EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 184(1), p 1-82.
P. Blanchard, J.R. Dawin, and D. Volchenkov, “Markov chains or the game of structure and chance. From Complex Networks, to Language Evolution, to Musical Compositions”, EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, vol. 184, 2010, pp. 1-82.
Blanchard, P., Dawin, J.R., Volchenkov, D.: Markov chains or the game of structure and chance. From Complex Networks, to Language Evolution, to Musical Compositions. EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS. 184, 1-82 (2010).
Blanchard, Philippe, Dawin, J. R., and Volchenkov, Dimitry. “Markov chains or the game of structure and chance. From Complex Networks, to Language Evolution, to Musical Compositions”. EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS 184.1 (2010): 1-82.
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