A comparison principle for random walk on dynamical percolation
| العنوان: | A comparison principle for random walk on dynamical percolation |
|---|---|
| المؤلفون: | Perla Sousi, Jonathan Hermon |
| المساهمون: | Apollo - University of Cambridge Repository |
| المصدر: | Ann. Probab. 48, no. 6 (2020), 2952-2987 |
| بيانات النشر: | Institute of Mathematical Statistics, 2020. |
| سنة النشر: | 2020 |
| مصطلحات موضوعية: | Statistics and Probability, mixing times, 60G50, Probability (math.PR), Torus, Random walk, Simple random sample, Combinatorics, spectral profile, Mixing (mathematics), Mathematics::Probability, 60F05, Percolation, FOS: Mathematics, Primary: 60F05, 60G50. Secondary: 60K35, 60K37, Dynamical percolation, Spectral gap, Hypercube, Statistics, Probability and Uncertainty, hitting times, Constant (mathematics), Mathematics - Probability, Mathematics |
| الوصف: | We consider the model of random walk on dynamical percolation introduced by Peres, Stauffer and Steif (2015). We obtain comparison results for this model for hitting and mixing times and for the spectral-gap and log-Sobolev constant with the corresponding quantities for simple random walk on the underlying graph $G$, for general graphs. When $G$ is the torus $\mathbb{Z}_n^d$, we recover the results of Peres et al. and we also extend them to the critical case. We also obtain bounds in the cases where $G$ is a transitive graph of moderate growth and also when it is the hypercube. Comment: 40 pages. Submitted. This is a revised version of the previously titled "Random walk on dynamical percolation". Section 2 was substantially extended |
| وصف الملف: | application/pdf |
| الوصول الحر: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::86b0346efacd20e47e420af276a8dd84Test https://www.repository.cam.ac.uk/handle/1810/305478Test |
| حقوق: | OPEN |
| رقم الانضمام: | edsair.doi.dedup.....86b0346efacd20e47e420af276a8dd84 |
| قاعدة البيانات: | OpenAIRE |
| الوصف غير متاح. |