From diffusions on graphs to Markov chains via asymptotic state lumping
type: Item
instance of: scholarly article
title: From diffusions on graphs to Markov chains via asymptotic state lumping
zbMATH Open document ID: 1278.60110
author: Adam Bobrowski
published in: Annales Henri Poincaré
publication date: 2012-09-24T00:00:00Z
review text: We show that fast diffusions on finite graphs with semi permeable membranes on vertices may be approximated by finite-state Markov chains provided the related permeability coefficients are appropriately small. The convergence theorem involves a singular perturbation with singularity in both operator and boundary/transmission conditions, and the related semi groups of operators converge in an irregular manner. The result is motivated by recent models of synaptic depression.
reviewed by: Ion C. Vladimirescu
Mathematics Subject Classification ID: 60J10
Mathematics Subject Classification ID: 60J20
zbMATH DE Number: 6085741
zbMATH Keywords: graphs to Markov chains
MaRDI profile type: Publication
full work available at URL: s00023-012-0158-z
OpenAlex ID: W1995007998
Wikidata QID: Q59341346
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DOI: 10.1007/S00023-012-0158-Z
description: scientific article; zbMATH DE number 6085741