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.

Journal Article | Published | English

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Abstract
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.
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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.
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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