کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1155447 | 958727 | 2016 | 35 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Edwards-Wilkinson fluctuations in the Howitt-Warren flows
ترجمه فارسی عنوان
نوسانات ادواردز ویلکینسون جریان هویت وارن است
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
چکیده انگلیسی
We study current fluctuations in a one-dimensional interacting particle system known as the dual smoothing process that is dual to random motions in a Howitt-Warren flow. The Howitt-Warren flow can be regarded as the transition kernels of a random motion in a continuous space-time random environment. It turns out that the current fluctuations of the dual smoothing process fall in the Edwards-Wilkinson universality class, where the fluctuations occur on the scale t1/4 and the limit is a universal Gaussian process. Along the way, we prove a quenched invariance principle for a random motion in the Howitt-Warren flow. Meanwhile, the centered quenched mean process of the random motion also converges on the scale t1/4, where the limit is another universal Gaussian process.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Stochastic Processes and their Applications - Volume 126, Issue 3, March 2016, Pages 948-982
Journal: Stochastic Processes and their Applications - Volume 126, Issue 3, March 2016, Pages 948-982
نویسندگان
Jinjiong Yu,