تقرير
Percolation with random one-dimensional reinforcements
| العنوان: | Percolation with random one-dimensional reinforcements |
|---|---|
| المؤلفون: | Nascimento, A., Sanchis, R., Ungaretti, D. |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Probability, 60K35, 60K37 |
| الوصف: | We study inhomogeneous Bernoulli bond percolation on the graph $G \times \mathbb{Z}$, where $G$ is a connected quasi-transitive graph. The inhomogeneity is introduced through a random region $R$ around the origin axis $\{0\}\times\mathbb{Z}$, where each edge in $R$ is open with probability $q$ and all other edges are open with probability $p$. When the region $R$ is defined by stacking or overlapping boxes with random radii centered along the origin axis, we derive conditions on the moments of the radii, based on the growth properties of $G$, so that for any subcritical $p$ and any $q<1$, the non-percolative phase persists. Comment: 16 pages, 3 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2406.08614 |
| رقم الأكسشن: | edsarx.2406.08614 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |