C. Castellano, S. Fortunato and V. Loreto, Statistical Physics of Social Dynamics, Rev. Mod. Phys, 81, 591 (2009) [PDF]
Lecture notes [PDF]
Suggested readings
[PIETRONERO, 2001]: L. Pietronero, E. Tosatti, V. Tosatti, A. Vespignani, “Explaining the uneven distribution of numbers in nature: the laws of Benford and Zipf”, Physica A, 293, 297–304 (2001). [PDF] {On the Benford's law}
[NEWMAN, 2005] : Newman, M. E. J., “Power laws, Pareto distributions and Zipf’s law”, Contemporary Physics, 46, 323–351 (2005). [PDF]
{Review of the possible pathways to the emergence of power-laws} [https://arxiv.org/abs/cond-mat/0412004]
[BETTENCOURT, 2007]: L. Bettencourt, J, Lobo‡ D. Helbing, C. Kuhnert, and G.B. West, “Growth, innovation, scaling, and the pace of life in cities”, PNAS, vol. 104(17), 7301–7306 (2007). [PDF]
[WEST, 1997]: Geoffrey B. West, James H. Brown, Brian J. Enquist, “A General Model for the Origin of Allometric Scaling Laws in Biology”, Science, vol. 276, 122-126 (1997). [PDF]
[WILLIS, 1922]: Willis, J.C. and Yule G.U. “Some Statistics of Evolution and Geographical Distribution in Plants and Animals, and their Significance”, Nature, 109(2728), 177–179. (1922). [PDF]
[SIMON, 1955]: H.A. Simon, “A Behavioural Model of Rational Choice”, The Quarterly Journal of Economics, Volume 69(1), 99– 118 (1955) [PDF]
others:
Michael Mitzenmacher, A Brief History of Generative Models for Power Law and Log-normal Distributions, Internet Math. 1, 226 (2003) [PDF]
{Analysis of the possible relationships between log-normal and power-law distributions}
Suggested books:
Lecture Notes [PDF]
Suggested readings
C.E. Shannon, A Mathematical Theory of Communication, Bell Systems Technical Journal, Vol. 27 (1948), pp. 379–423, 623–656. [PDF]
C.E. Shannon, Prediction and Entropy of Printed English, Bell Systems Technical Journal, Vol. 30 (1951), pp. 50-64. [PDF]
A.D. Wyner, Typical sequences and all that: entropy, pattern matching and data compression, 1994 Shannon Lecture [PDF]
Suggested books:
Elements of Information Theory. Thomas M. Cover, Joy A. Thomas. Wiley Series in Telecommunications (1991). 2nd Edition (2006).
Polya's urn and Bayesian inference:
Lecture Notes [PDF]
Bayesian models of cognition. Thomas L. Griffiths, Charles Kemp and Joshua B. Tenenbaum. (sez. 2.4) [PDF]
Suggested readings:
[N] Mark. Newman: "The Structure and Function of Complex Networks", SIAM Review, Vol. 45(2) (2003) [PDF]
[AB] Réka Albert and Albert Lászlo Bárabási: "Statistical mechanics of complex networks", Rev. Mod. Phys., 74(51) (2002) [PDF]
[EPI] Romualdo Pastor-Satorras, Claudio Castellano, Piet Van Mieghem, Alessandro Vespignani, "Epidemic processes in complex networks", Rev. Mod. Phys., 87(3) (2015) [PDF]
[ER] : Paul Erdős, Alfred Rényi, On random graphs, Publicationes Mathematicae Debrecen 6 (1959), 290–297. [PDF]
Suggested readings:
The dynamics of correlated novelties
F. Tria, V. Loreto, V. D. P. Servedio & S. H. Strogatz
Scientific Reports volume 4, Article number: 5890 (2014)
https://www.nature.com/articles/srep05890
"Dynamics on Expanding Spaces: Modelling the Emergence of Novelties"
Vittorio Loreto, Vito D. P. Servedio, Steven H. Strogatz & Francesca Tria
Chapter on Lecture Notes in Morphogenesis book series
https://link.springer.com/chapter/10.1007/978-3-319-24403-7_5
https://arxiv.org/pdf/1701.00994.pdf
Lecture Notes (by Claudio Castellano) [PDF]
Suggested readings:
“Statistical Physics of Social Dynamics"
C. Castellano, S. Fortunato and V. Loreto,
Rev. Mod. Phys. 81, 591 (2009)
https://journals.aps.org/rmp/abstract/10.1103/RevModPhys.81.591 [PDF]
“Non-equilibrium phase transition in a model of social influence”
C. Castellano, M. Marsili and A. Vespignani,
Phys. Rev. Lett. 85, 3536 (2000)
https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.85.3536 [PDF]
“The dissemination of culture. A model with local convergence and global polarization”
R. Axelrod,
J. Conflict Resolut. 41, 203 (1997).
https://journals.sagepub.com/doi/10.1177/0022002797041002001 [PDF]
"Sharp transition towards shared vocabularies in multi-agent systems"
Andrea Baronchelli, Maddalena Felici, Vittorio Loreto, Emanuele Caglioti and Luc Steels
Journal of Statistical Mechanics: Theory and Experiment, P06014 (2006)
https://iopscience.iop.org/article/10.1088/1742-5468/2006/06/P06014 [PDF]
"Opinion Dynamics with Disagreement and Modulated Information"
Alina Sîrbu, Vittorio Loreto, Vito D. P. Servedio & Francesca Tria
Journal of Statistical Physics volume 151, pages 218–237 (2013)
https://link.springer.com/article/10.1007/s10955-013-0724-x [PDF]