| Título: | Erdos-Renyi random graphs + forest fires = self-organized criticality |
| Autores: |
Rath, Balazs; Budapest University of Technology Toth, Balint; Budapest University of Technology |
| Fecha: | 2009-01-01 |
| Publicador: | Electronic journal of probability |
| Fuente: |
 |
| Tipo: |
Peer-reviewed Article |
| Tema: |
forest fire model, Erdos-Renyi random graph, Smoluchowski coagulation equations, self-organized criticality 60K35 |
| Descripción: | We modify the usual Erdos-Renyi random graph evolution by letting connected clusters 'burn down' (i.e. fall apart to disconnected single sites) due to a Poisson flow of lightnings. In a range of the intensity of rate of lightnings the system sticks to a permanent. |
| Idioma: | No aplica |
1 Lévy Classes and Self-Normalization por Khoshnevisan, Davar; University of Utah | 6 Time-Space Analysis of the Cluster-Formation in Interacting Diffusions por Fleischmann, Klaus; Weierstrass Institute for Applied Analysis and Stochastics,Greven, Andreas; Universitat Erlangen-Nurnberg |
2 Hausdorff Dimension of Cut Points for Brownian Motion por Lawler, Gregory F.; Duke University and Cornell University | 7 Conditional Moment Representations for Dependent Random Variables por Bryc, Wlodzimierz; University of Cincinnati |
3 Eigenvalue Expansions for Brownian Motion with an Application to Occupation Times por Bass, Richard F.; University of Washington,Burdzy, Krzysztof; University of Washington | 8 Almost Sure Exponential Stability of Neutral Differential Difference Equations with Damped Stochastic Perturbations por Liao, Xiao Xin; University of Strathclyde,Mao, Xuerong; University of Strathclyde |
4 Random Discrete Distributions Derived from Self-Similar Random Sets por Pitman, Jim; University of California, Berkeley,Yor, Marc; Université Pierre et Marie Curie | 9 Quantitative Bounds for Convergence Rates of Continuous Time Markov Processes por Roberts, Gareth O.; University of Cambridge,Rosenthal, Jeffrey S.; University of Toronto |
5 A Microscopic Model for the Burgers Equation and Longest Increasing Subsequences por Seppäläinen, Timo; Iowa State University | 10 Metastability of the Three Dimensional Ising Model on a Torus at Very Low Temperatures por Ben Arous, Gérard; Ecole Normale Supérieure,Cerf, Raphaël; Université Paris Sud |