Physical review. E, Statistical, nonlinear, andâ€¦

2011

We show how the prevailing majority opinion in a population can be rapidly reversed by a small fraction p of randomly distributed committed agents who consistently proselytize the opposing opinionâ€¦ (More)

We investigate consensus formation and the asymptotic consensus times in stylized individual- or agent-based models, in which global agreement is achieved through pairwise negotiations with orâ€¦ (More)

This paper studies an ordinary differential equation (ODE) model, called the Stokeslet model, and describes sedimentation of small clusters of particles in a highly viscous fluid. This model has aâ€¦ (More)

William Pickering, 2 Boleslaw K. Szymanski, 2 and Chjan Lim 2 Department of Mathematical Sciences, Rensselaer Polytechnic Institute, 110 8th Street, Troy, New York 12180, USA Network Science andâ€¦ (More)

Human behavior is profoundly affected by the influenceability of individuals and the social networks that link them together. In the sociological context, spread of ideas, ideologies and innovationsâ€¦ (More)

Systems of nearly parallel, slender vortex filaments in which angular momentum is conserved are an important simplification of the Navier-Stokes equations where turbulence can be studied inâ€¦ (More)

We introduce the homogeneous pair approximation to the Naming Game (NG) model, establish a six dimensional ODE for the two-word NG. Our ODE reveals how the dynamical behavior of the NG changes withâ€¦ (More)

The Bernoulli-Laplace model describes a diffusion process of two types of particles. To analyze the finite-size dynamics of this process, we apply a generating function method for diagonalizing theâ€¦ (More)

Eaxct MArkov Propagator for the Voter Models Report Title Exact solutions for the standard Voter model in terms of the spectrum and eigenvectors of the Markov propagator for macroststes are firstâ€¦ (More)