%0 Journal Article %1 Silk2013a %A Silk, Holly %A Demirel, Güven %A Homer, Martin %A Gross, Thilo %D 2013 %K theoretical-ecology %P 4 %T Exploring network dynamics with a mathematical triple jump %U http://arxiv.org/abs/1302.2743 %X In the investigation of network dynamics a prominent role is played by analytical coarse-graining schemes. A very powerful class of these schemes are the so-called heterogeneous approximations, which describe the dynamics of an agent-based network model by an infinite-dimensional system of differential equations. Here, we propose a widely applicable method for solving these systems, and illustrate it in the example of the adaptive voter model.

@article{Silk2013a, abstract = {In the investigation of network dynamics a prominent role is played by analytical coarse-graining schemes. A very powerful class of these schemes are the so-called heterogeneous approximations, which describe the dynamics of an agent-based network model by an infinite-dimensional system of differential equations. Here, we propose a widely applicable method for solving these systems, and illustrate it in the example of the adaptive voter model.}, added-at = {2013-04-11T15:39:33.000+0200}, archiveprefix = {arXiv}, arxivid = {1302.2743}, author = {Silk, Holly and Demirel, G\"{u}ven and Homer, Martin and Gross, Thilo}, biburl = {https://www.bibsonomy.org/bibtex/2a12c709090b9db6e3268c3d224a4c3fe/carl-boettiger}, eprint = {1302.2743}, file = {:home/cboettig/Documents/Mendeley/Unknown/2013/Silk et al. - 2013 - Unknown.pdf:pdf}, interhash = {4dd89b0cece726663f4b85f05af7e4f8}, intrahash = {a12c709090b9db6e3268c3d224a4c3fe}, keywords = {theoretical-ecology}, month = feb, pages = 4, timestamp = {2013-04-11T15:42:55.000+0200}, title = {{Exploring network dynamics with a mathematical triple jump}}, url = {http://arxiv.org/abs/1302.2743}, year = 2013 }