頁籤選單縮合
題 名 | On (Z/NZ)² -Occupation Times, the Gaussian Free Field, and Random Interlacements |
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作 者 | Sznitman, Alain-Sol; | 書刊名 | Bulletin of the Institute of Mathematics, Academia Sinica New Series |
卷 期 | 7:4 2012.12[民101.12] |
頁 次 | 頁565-602 |
分類號 | 310 |
關鍵詞 | Occupation times; Gaussian free field; Random interlacements; |
語 文 | 英文(English) |
英文摘要 | We study the occupation times left by random walk on (Z/NZ)2 at times either proportional to N2 logN or much larger than N2 logN, and relate these random fields to the Gaussian free field pinned at the origin. Our results answer a question raised in [18] and mirror limit statements in [18] for the occupation times of large rods of size N in Z3 by random interlacements at a level uN such that uNN3 is either proportional to N2 logN or much larger than N2 logN. |
本系統中英文摘要資訊取自各篇刊載內容。