2008-08-012024-05-15https://scholars.lib.ntu.edu.tw/handle/123456789/662780摘要：本計畫擬以交互作用隨機系統中各類大離差現象為主進行研究，並將延續現有成果至少依下列三個主題循序探討。 1. 交互作用系統之隨機密度場的大離差估計。 2. 交互作用系統中一個位置的佔位時間，或若干個位置其佔位時間的組合（期望值不為零），的大離差估計。 3. 交互作用系統中兩個不同的位置其佔位時間的差，或若干個位置其佔位時間的組合（期望值為零），的大離差估計。 其中交互作用隨機系統包含了互斥過程、廣義互斥過程、非對稱互斥過程、對稱或非對稱零域過程、等等。<br> Abstract: We plan to study the large deviation behaviors of various interacting stochastic systems in this project. Based on the previous results, we shall investigate at least the following three topics. 1. Large deviations of the empirical density fields of the system. 2. Large deviations of the occupation time of one site or that of the combination of several sites which has non-zero mean. 3. Large deviations of the occupation time of the difference of two sites or that of the combination of several sites which has zero mean. Here the various systems include exclusion processes, generalized exclusion processes, asymmetric exclusion processes, symmetric or asymmetric zero-range processes, and so on.大離差隨機密度場佔位時間互斥過程零域過程large deviationempirical density fieldoccupation timeexclusion processzero-range process