Analytically solvable processes on networks

  title={Analytically solvable processes on networks},
  author={Daniel Smilkov and Ljupco Kocarev},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  volume={84 1 Pt 2},
  • D. Smilkov, L. Kocarev
  • Published 11 March 2011
  • Mathematics
  • Physical review. E, Statistical, nonlinear, and soft matter physics
We introduce a broad class of analytically solvable processes on networks. In the special case, they reduce to random walk and consensus process, the two most basic processes on networks. Our class differs from previous models of interactions (such as the stochastic Ising model, cellular automata, infinite particle systems, and the voter model) in several ways, the two most important being (i) the model is analytically solvable even when the dynamical equation for each node may be different and… 
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