Stochastic homogenization of dynamical discrete optimal transport
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913941513306112 |
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| author | Gladbach, Peter Kopfer, Eva |
| author_facet | Gladbach, Peter Kopfer, Eva |
| contents | The aim of this paper is to examine the large-scale behavior of dynamical optimal transport on stationary random graphs embedded in $\R^n$. Our primary contribution is a stochastic homogenization result that characterizes the effective behavior of the discrete problems in terms of a continuous optimal transport problem, where the homogenized energy density results from the geometry of the discrete graph. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_04157 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stochastic homogenization of dynamical discrete optimal transport Gladbach, Peter Kopfer, Eva Probability The aim of this paper is to examine the large-scale behavior of dynamical optimal transport on stationary random graphs embedded in $\R^n$. Our primary contribution is a stochastic homogenization result that characterizes the effective behavior of the discrete problems in terms of a continuous optimal transport problem, where the homogenized energy density results from the geometry of the discrete graph. |
| title | Stochastic homogenization of dynamical discrete optimal transport |
| topic | Probability |
| url | https://arxiv.org/abs/2411.04157 |