تقرير
Homogenization of random quasiconformal mappings and random Delauney triangulations
| العنوان: | Homogenization of random quasiconformal mappings and random Delauney triangulations |
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| المؤلفون: | Ivrii, Oleg, Markovic, Vladimir |
| سنة النشر: | 2019 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Complex Variables, Mathematics - Probability, 30C62, 52C26 |
| الوصف: | In this paper, we solve two problems dealing with the homogenization of random media. We show that a random quasiconformal mapping is close to an affine mapping, while a circle packing of a random Delauney triangulation is close to a conformal map, confirming a conjecture of Stephenson. We also show that on a Riemann surface equipped with a conformal metric, a random Delauney triangulation is close to being circle packed. Comment: 30 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1905.07932 |
| رقم الأكسشن: | edsarx.1905.07932 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |