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Explosion in a growth model with cooperative interaction on an infinite graph

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Publication:2107695
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DOI10.1007/s40863-021-00216-5zbMath1499.60257OpenAlexW3132464149WikidataQ122173150 ScholiaQ122173150MaRDI QIDQ2107695

Marina Vachkovskaia, Bruna de Oliveira Gonçalves

Publication date: 2 December 2022

Published in: São Paulo Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40863-021-00216-5


zbMATH Keywords

Markov chainadsorptionexplosiongrowth process


Mathematics Subject Classification ID

Other physical applications of random processes (60K40) Combinatorial probability (60C05) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20)



Uses Software

  • R


Cites Work

  • Explosion, implosion, and moments of passage times for continuous-time Markov chains: a semimartingale approach
  • Localisation in a growth model with interaction
  • Growth and roughness of the interface for ballistic deposition
  • Stability of a growth process generated by monomer filling with nearest-neighbour cooperative effects


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