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Self-Organized Criticality
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The article was published on 1998-01-01 and is currently open access. It has received 610 citations till now.read more
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DissertationDOI
Topics in stochastic growth models
TL;DR: This dissertation studies asymptotic structure of the “particles landscape” which is represented in these three models by, respectively, typeructure of the population, graph of interconnections, and the empirical distribution of species fitness.
Journal ArticleDOI
Flooding transition in the topography of toppling surfaces of stochastic and rotational sandpile models
TL;DR: A continuous phase transition occurs in the topography of toppling surfaces of stochastic and rotational sandpile models when they are flooded with liquid, say water, and the universality class of this transition is found to depend on the degree of self-affinity of the toppling surface characterized by the Hurst exponent H and the fractal dimension D(f) of critical spanning islands.
Journal ArticleDOI
On Origin of Power-Law Distributions in Self-Organized Criticality from Random Walk Treatment
TL;DR: In this paper, the authors investigated the origin of power-law distributions in self-organized criticality by treating the variation of the number of active sites in the system as a stochastic process.
Journal ArticleDOI
Critical dynamic approach to stationary states in complex systems
TL;DR: In this article, a dynamic scaling Ansatz for the approach to stationary states in complex systems is proposed and tested by means of extensive simulations applied to both the Bak-Sneppen (BS) model, which exhibits robust Self-Organised Critical (SOC) behaviour, and the Game of Life (GOL) of J. Conway, whose critical behaviour is under debate.
Journal ArticleDOI
Extinction threshold for spatial forest dynamics with height structure.
TL;DR: A pair-approximation model for spatial forest dynamics defined on a regular lattice is presented and an expression of the basic reproduction number R(0) is obtained which uses information about the spatial arrangement of individuals close to extinction.