Modulation effect with global ambiguity in 2-dimensional random walk

Tomoko Sakiyama*, Yukio Pegio Gunji

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


Here, we developed a two-dimensional multi-agent random walk algorithm. In our algorithm, agents interact with each other and change their directional rules by locally detecting moving directions of other agents. In addition to that, we introduced modulation effects in which agents controlled rule-intervals depending on number of local other agents. We show that modulation effects which introduce global ambiguity play a crucial role in establishing optimal random walk by checking the slope value (μ), depending on the density of agents. We set a modulation-added model and non-modulation model. The latter is control model. In case of non-modulation model, the slope values (μ) highly depend on the density of agents. However, in case of modulation-added model, the slope values (μ) are flexible and independent of the density of agents.

Original languageEnglish
Pages (from-to)159-165
Number of pages7
JournalInternational Journal of Parallel, Emergent and Distributed Systems
Issue number2
Publication statusPublished - 2017 Mar 4


  • Lévy-walk
  • interaction
  • multi-agent model
  • power-law
  • random walk

ASJC Scopus subject areas

  • Software
  • Computer Networks and Communications


Dive into the research topics of 'Modulation effect with global ambiguity in 2-dimensional random walk'. Together they form a unique fingerprint.

Cite this