کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8896766 1630601 2018 62 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Limit theory for random walks in degenerate time-dependent random environments
ترجمه فارسی عنوان
نظریه محدود برای پیاده روی های تصادفی در محیط های تصادفی وابسته به زمان
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
چکیده انگلیسی
We study continuous-time (variable speed) random walks in random environments on Zd, d≥2, where, at time t, the walk at x jumps across edge (x,y) at time-dependent rate at(x,y). The rates, which we assume stationary and ergodic with respect to space-time shifts, are symmetric and bounded but possibly degenerate in the sense that the total jump rate from a vertex may vanish over finite intervals of time. We formulate conditions on the environment under which the law of diffusively-scaled random walk path tends to Brownian motion for almost every sample of the rates. The proofs invoke Moser iteration to prove sublinearity of the corrector in pointwise sense; a key additional input is a conversion of certain weighted energy norms to ordinary ones. Our conclusions apply to random walks on dynamical bond percolation and interacting particle systems as well as to random walks arising from the Helffer-Sjöstrand representation of gradient models with certain non-strictly convex potentials.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 274, Issue 4, 15 February 2018, Pages 985-1046
نویسندگان
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