کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1156416 958828 2015 42 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Entropic repulsion of Gaussian free field on high-dimensional Sierpinski carpet graphs
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Entropic repulsion of Gaussian free field on high-dimensional Sierpinski carpet graphs
چکیده انگلیسی

Consider the free field on a fractal graph based on a high-dimensional Sierpinski carpet (e.g.   the Menger sponge), that is, a centered Gaussian field whose covariance is the Green’s function for simple random walk on the graph. Moreover assume that a “hard wall” is imposed at height zero so that the field stays positive everywhere. We prove the leading-order asymptotics for the local sample mean of the free field above the hard wall on any transient Sierpinski carpet graph, thereby extending a result of Bolthausen, Deuschel, and Zeitouni for the free field on ZdZd, d≥3d≥3, to the fractal setting.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Stochastic Processes and their Applications - Volume 125, Issue 12, December 2015, Pages 4632–4673
نویسندگان
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