تقرير
Differentiability of limit shapes in continuous first passage percolation models
| العنوان: | Differentiability of limit shapes in continuous first passage percolation models |
|---|---|
| المؤلفون: | Bakhtin, Yuri, Dow, Douglas |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Probability, 60K37, 82B44, 60K35 |
| الوصف: | We introduce and study a class of abstract continuous action minimization problems that generalize continuous first and last passage percolation. In this class of models a limit shape exists. Our main result provides a framework under which that limit shape can be shown to be differentiable. We then describe examples of continuous first passage percolation models that fit into this framework. The first example is of a family of Riemannian first passage percolation models and the second is a discrete time model based on Poissonian points. Comment: 43 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2406.09652 |
| رقم الأكسشن: | edsarx.2406.09652 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |