Modeling Complex Systems

Statistical Physics deals with a number of topics of absolute relevance in Physics, as phase transitions. Notably, it aims to connect the macroscopic behavior of a system with the local mechanisms of its constituents, e.g. one aims to connect the thermodynamic view of a gas with its mechanical laws (i.e. the kinetic theory). As result, this approach becomes strongly valuable when dealing with complex systems, also in those cases where the subject of investigation is a non-physical system, like a Social Network or a Socio-Economic system.

[1]  Marco Alberto Javarone,et al.  Network strategies in election campaigns , 2013, 1311.5933.

[2]  Albert-László Barabási,et al.  Statistical mechanics of complex networks , 2001, ArXiv.

[3]  Alessandro Vespignani,et al.  Dynamical Processes on Complex Networks , 2008 .

[4]  P. Taylor,et al.  Evolutionarily Stable Strategies and Game Dynamics , 1978 .

[5]  G. Bianconi.  Statistical mechanics of multiplex networks: entropy and overlap. , 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.

[6]  Sergio Gómez,et al.  Spectral properties of the Laplacian of multiplex networks , 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.

[7]  S. Fortunato,et al.  Statistical physics of social dynamics , 2007, 0710.3256.

[8]  A. Barra,et al.  Mean field bipartite spin models treated with mechanical techniques , 2013, 1310.5901.

[9]  A. Arenas,et al.  Mathematical Formulation of Multilayer Networks , 2013, 1307.4977.

[10]  V. Latora,et al.  Complex networks: Structure and dynamics , 2006 .

[11]  Daniele Marinazzo,et al.  Information Transfer and Criticality in the Ising Model on the Human Connectome , 2014, PloS one.

[12]  Vito Latora,et al.  Structural measures for multiplex networks. , 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.

[13]  V. Latora,et al.  Complex Networks: Principles, Methods and Applications , 2017 .

[14]  Nikos E. Kouvaris,et al.  Pattern formation in multiplex networks , 2014, Scientific Reports.

[15]  Mark E. J. Newman,et al.  The Structure and Function of Complex Networks , 2003, SIAM Rev..

[16]  Matjaz Perc,et al.  Statistical physics of crime: A review , 2014, Physics of life reviews.

[17]  Qiang Xu,et al.  Small-world directed networks in the human brain: Multivariate Granger causality analysis of resting-state fMRI , 2011, NeuroImage.

[18]  Ernesto Estrada,et al.  The Structure of Complex Networks: Theory and Applications , 2011 .

[19]  Serge Galam,et al.  SOCIOPHYSICS: A REVIEW OF GALAM MODELS , 2008, 0803.1800.

[20]  M. A. Cayless.  Statistical Mechanics (2nd edn) , 1977 .

[21]  H. Nishimori.  Statistical Physics of Spin Glasses and Information Processing , 2001 .

[22]  E. C. Zeeman,et al.  Population dynamics from game theory , 1980 .

[23]  Elena Agliari,et al.  A statistical mechanics approach to Granovetter theory , 2010, ArXiv.

[24]  A. Barra,et al.  A mechanical approach to mean field spin models , 2008, 0812.1978.

[25]  Duncan J. Watts,et al.  Collective dynamics of ‘small-world’ networks , 1998, Nature.

[26]  Guido Caldarelli,et al.  Scale-Free Networks , 2007 .

[27]  Marc Barthelemy,et al.  Growing multiplex networks , 2013, Physical review letters.

[28]  K Sigmund,et al.  A note on evolutionary stable strategies and game dynamics. , 1979, Journal of theoretical biology.

[29]  A. Vaidya,et al.  On the affordances of the MaxEP principle , 2014 .