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Finite size corrections to random Boolean networks

  • Leone, Michele
  • Pagnani, Andrea
  • Parisi, Giorgio
  • Zagordi, Osvaldo
Published Article
Publication Date
Dec 19, 2006
Submission Date
Nov 03, 2006
DOI: 10.1088/1742-5468/2006/12/P12012
arXiv ID: cond-mat/0611088
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Since their introduction, Boolean networks have been traditionally studied in view of their rich dynamical behavior under different update protocols and for their qualitative analogy with cell regulatory networks. More recently, tools borrowed from statistical physics of disordered systems and from computer science have provided a more complete characterization of their equilibrium behavior. However, the largest part of the results have been obtained in the thermodynamic limit, which is often far from being reached when dealing with realistic instances of the problem. The numerical analysis presented here aims at comparing - for a specific family of models - the outcomes given by the heuristic belief propagation algorithm with those given by exhaustive enumeration. In the second part of the paper some analytical considerations on the validity of the annealed approximation are discussed.


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