Laplacians and Random Walks on CW Complexes
| Autor: | Höpfner, Tim |
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| Rok vydání: | 2023 |
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| Druh dokumentu: | Working Paper |
| Popis: | We construct random walks taking place on the k-cells of free G-CW complexes of finite type. These random walks define operators acting on the cellular k-chains that relate nicely to the (upper) cellular k-Laplacian. As an application, we use this relation to show that the Novikov-Shubin invariants of a free G-CW complex X of finite type can be recovered from quantities related to return probabilities of the random walks on the cells of X. Comment: 20 pages |
| Databáze: | arXiv |
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