0476009 20240103214235.120170710235959.9 000416069000004 16 s. cav_un_epca*03232211024-2953231 (2017)87-102 self-reinforcement self-organized criticality canyon cav_un_auth*0217893 Stochastická informatika Department of Stochastic Informatics SI SI Department of Stochastic Informatics 100 Swart Jan M. UTIA-B CZ Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2017/SI/swart-0476009.pdf cav_un_auth*0291241 GAP201/12/2613 GA ČR cav_un_auth*0321649 GA15-08819S GA ČR CZ We introduce a self-reinforced point processes on the unit interval that appears to exhibit self-organized criticality, somewhat reminiscent of the well-known Bak-Sneppen model. The process takes values in the finite subsets of the unit interval and evolves according to the following rules. In each time step, a particle is added at a uniformly chosen position, independent of the particles that are already present. If there are any particles to the left of the newly arrived particle, then the left-most of these is removed. We show that all particles arriving to the left of p_c = 1 - e^{-1} are a.s. eventually removed, while for large enough time, particles arriving to the right of p_c stay in the system forever. BA 10000 10100 10101 2018 1 RVO:67985556 http://hdl.handle.net/11104/0273536 S 3+4 Article Statistics Probability 3+4 Article Statistics Probability 3+4 Article Statistics Probability STATISTICS&PROBABILITY 0.464 0 9.3 0.00101 0.442 280 0.452 0.414 21 Q4 31.4 6.1 Q3 Q3 0.27 Q4 6.098 2017 SCOPUS PUBMED 000416069000004 WOS cav_un_epca*0323221 Markov Processes and Related Fields 1024-2953 1024-2953 Roč. 23 č. 1 2017 87 102