Heat diffusion modelling with random walks on triangular lattices

Lukas Frannek, Tomohisa Hayakawa, Ahmet Cetinkaya

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)


In order to approximate heat diffusion in two dimensions, we view diffusion processes as the random motion of particles and model the behavior of each particle with a continuous-time Markov chain. The infinitesimal generator of each Markov chain is characterized by the distances between lattice points imposed on a given two-dimensional surface. We derive requirements for the mean and the covariance matrix of a Markov chain and present simulations to demonstrate how a large number of Markov chains behave in the proposed framework on an exemplary lattice.

Original languageEnglish
Title of host publication2013 American Control Conference, ACC 2013
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages6
ISBN (Print)9781479901777
Publication statusPublished - 2013
Externally publishedYes
Event2013 1st American Control Conference, ACC 2013 - Washington, DC, United States
Duration: 2013 Jun 172013 Jun 19

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619


Conference2013 1st American Control Conference, ACC 2013
Country/TerritoryUnited States
CityWashington, DC

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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