تقرير
A random walk on the Rado graph
العنوان: | A random walk on the Rado graph |
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المؤلفون: | Chatterjee, Sourav, Diaconis, Persi, Miclo, Laurent |
سنة النشر: | 2022 |
المجموعة: | Mathematics |
مصطلحات موضوعية: | Mathematics - Probability, Mathematics - Combinatorics, Mathematics - Logic |
الوصف: | The Rado graph, also known as the random graph $G(\infty, p)$, is a classical limit object for finite graphs. We study natural ball walks as a way of understanding the geometry of this graph. For the walk started at $i$, we show that order $\log_2^*i$ steps are sufficient, and for infinitely many $i$, necessary for convergence to stationarity. The proof involves an application of Hardy's inequality for trees. Comment: 43 pages |
نوع الوثيقة: | Working Paper |
URL الوصول: | http://arxiv.org/abs/2205.06894 |
رقم الأكسشن: | edsarx.2205.06894 |
قاعدة البيانات: | arXiv |
الوصف غير متاح. |