Dirr, N., Laschos, V. and Zimmer, J., 2012. Upscaling from particle models to entropic gradient flows. Journal of Mathematical Physics, 53 (6), 063704.
We prove that, for the case of Gaussians on the real line, the functional derived by a time discretization of the diffusion equation as entropic gradient flow is asymptotically equivalent to the rate functional derived from the underlying microscopic process. This result strengthens a conjecture that the same statement is actually true for all measures with second finite moment.
|Item Type ||Articles|
|Creators||Dirr, N., Laschos, V. and Zimmer, J.|
|Departments||Faculty of Science > Mathematical Sciences|
|Publisher Statement||Zimmer_JMP_2012_53_063704.pdf: Copyright (2012) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in Dirr, N., Laschos, V. and Zimmer, J., 2012. Upscaling from particle models to entropic gradient flows. Journal of Mathematical Physics, 53 (6), 063704 and may be found at http://dx.doi.org/10.1063/1.4726509|
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