The Random Average Process and Random Walk in a Space-Time Random Environment in One Dimension
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چکیده
منابع مشابه
The Random Average Process and Random Walk in a Space-time Random Environment in One Dimension
We study space-time fluctuations around a characteristic line for a onedimensional interacting system known as the random average process. The state of this system is a real-valued function on the integers. New values of the function are created by averaging previous values with random weights. The fluctuations analyzed occur on the scale n where n is the ratio of macroscopic and microscopic sc...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2006
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-006-0036-y