From non-symmetric particle systems to non-linear PDEs on fractals

Joe P. Chen; Michael Hinz; Alexander Teplyaev

doi:10.1007/978-3-319-74929-7_34

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arXiv · 1702.03376

From non-symmetric particle systems to non-linear PDEs on fractals

Joe P. Chen·Michael Hinz·Alexander Teplyaev

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Abstract

We present new results and challenges in obtaining hydrodynamic limits for non-symmetric (weakly asymmetric) particle systems (exclusion processes on pre-fractal graphs) converging to a non-linear heat equation. We discuss a joint density-current law of large numbers and a corresponding large deviations principle.

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Joe P. Chen, Michael Hinz, Alexander Teplyaev. 2017-10-22. From non-symmetric particle systems to non-linear PDEs on fractals. https://doi.org/10.1007/978-3-319-74929-7_34

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