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Majority dynamics on trees and the dynamic cavity method
Voters independent distribution random variables the initialization
2015/8/20
An elector sits on each vertex of an in nite tree of degree k, and has to decide between two alternatives.At each time step, each elector switches to the opinion of the majority of her neighbors. We a...
The Dynamics of Influence Systems
The Dynamics of Influence Systems Adaptation and Self-Organizing Systems
2012/4/26
Influence systems form a large class of multiagent systems designed to model how influence, broadly defined, spreads across a dynamic network. We build a general analytical framework which we then use...
Emergence of grouping in multi-resource minority game dynamics
Emergence of grouping multi-resource minority game dynamics Adaptation and Self-Organizing Systems
2012/4/26
TheMinority Game (MG) has become a paradigm to probe complex social and economical phenomena where adaptive agents compete for a limited resource, and it finds applications in statistical and nonlinea...
A power law of order 1/4 for critical mean-field Swendsen-Wang dynamics
critical mean-field Swendsen-Wang dynamics Probability
2011/9/9
Abstract: The Swendsen-Wang dynamics is a Markov chain widely used by physicists to sample from the Boltzmann-Gibbs distribution of the Ising model. Cooper, Dyer, Frieze and Rue proved that on the com...
Dynamics of poles with position-dependent strengths and its optical analogues
Vortex dynamics complex variable strengths Snell’s law geometric optics hybrid systems
2010/12/3
Dynamics of point vortices is generalized in two ways: first by making the strengths complex, which allows for sources and sinks in superposition with the usual vortices, second by making them functio...
Opinion dynamics with confidence threshold: an alternative to the Axelrod model
stochastic processes Opinion dynamics homophily
2010/4/6
The voter model and the Axelrod model are two of the main stochastic processes that describe the spread of opinions on networks. The former includes social influence, the tendency of individuals to be...
Cross-Correlation Dynamics in Financial Time Series
Correlation Matrix Eigenspectrum Analysis Econophysics
2010/4/27
The dynamics of the equal-time cross-correlation matrix of multivariate financial time series is explored by examination of the eigenvalue spectrum over sliding time windows. Empirical results for the...
Multiscaled Cross-Correlation Dynamics in Financial Time-Series
Cross-Correlation Dynamics Financial Time-Series
2010/4/27
The cross correlation matrix between equities comprises multiple interactions between traders with varying strategies and time horizons. In this paper, we use the Maximum Overlap Discrete Wavelet Tran...