Report
t^{1/3} fluctuation around the shock of TASEP with random initial condition
| العنوان: | t^{1/3} fluctuation around the shock of TASEP with random initial condition |
|---|---|
| المؤلفون: | Zhang, Xincheng |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Probability, 60K35 |
| الوصف: | The totally asymmetric exclusion process (TASEP) is one of the solvable models in the KPZ universality class. When TASEP starts with the product Bernoulli measure with a smaller density on the left of the origin, it presents shocks in the evolution. For a long time, it has been known that fluctuations are the product of Gaussians on the scale t^{1/2} due to initial randomness. In this paper, we will describe how to see the t^{1/3} fluctuations for these initial conditions. Comment: 42 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2409.16989 |
| رقم الانضمام: | edsarx.2409.16989 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |