bibtype	J - Journal Article
ARLID	0476009
utime	20240103214235.1
mtime	20170710235959.9
WOS	000416069000004
title (primary) (eng)	A simple rank-based Markov chain with self-organized criticality
specification	page_count 16 s.
serial	ARLID cav_un_epca*0323221 ISSN 1024-2953 title Markov Processes and Related Fields volume_id 23 volume 1 (2017) page_num 87-102
keyword	self-reinforcement
keyword	self-organized criticality
keyword	canyon
author (primary)	ARLID cav_un_auth*0217893 full_dept (cz) Stochastická informatika full_dept (eng) Department of Stochastic Informatics department (cz) SI department (eng) SI full_dept Department of Stochastic Informatics share 100 name1 Swart name2 Jan M. institution UTIA-B country CZ fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
source	url http://library.utia.cas.cz/separaty/2017/SI/swart-0476009.pdf
cas_special	project ARLID cav_un_auth*0291241 project_id GAP201/12/2613 agency GA ČR project ARLID cav_un_auth*0321649 project_id GA15-08819S agency GA ČR country CZ abstract (eng) 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. RIV BA FORD0 10000 FORD1 10100 FORD2 10101 reportyear 2018 num_of_auth 1 inst_support RVO:67985556 permalink http://hdl.handle.net/11104/0273536 confidential S mrcbC86 3+4 Article Statistics Probability mrcbC86 3+4 Article Statistics Probability mrcbC86 3+4 Article Statistics Probability mrcbT16-e STATISTICS&PROBABILITY mrcbT16-f 0.464 mrcbT16-g 0 mrcbT16-h 9.3 mrcbT16-i 0.00101 mrcbT16-j 0.442 mrcbT16-k 280 mrcbT16-s 0.452 mrcbT16-5 0.414 mrcbT16-6 21 mrcbT16-7 Q4 mrcbT16-B 31.4 mrcbT16-C 6.1 mrcbT16-D Q3 mrcbT16-E Q3 mrcbT16-M 0.27 mrcbT16-N Q4 mrcbT16-P 6.098 arlyear 2017 mrcbU14 SCOPUS mrcbU24 PUBMED mrcbU34 000416069000004 WOS mrcbU63 cav_un_epca*0323221 Markov Processes and Related Fields 1024-2953 1024-2953 Roč. 23 č. 1 2017 87 102