【摘要】：本文是有關(guān)"值域更新"問題的綜述.首先簡(jiǎn)要回顧了隨機(jī)游動(dòng)(及Brown運(yùn)動(dòng))有關(guān)值域問題研究的歷史脈絡(luò).本文給出獨(dú)立同分布(i.i.d.)/連分?jǐn)?shù)/簡(jiǎn)單對(duì)稱隨機(jī)游動(dòng)三類模型下的"值域更新"結(jié)構(gòu)定理,并提出一些公開問題與猜測(cè).
[Abstract]:This paper is an overview of the problem of range updating. Firstly, a brief review of the historical context of the study of random walks (and Brown motion) on the range problem is given. In this paper, we give the "range renewal" structure theorem for three kinds of independent homogeneous distribution (i.d.) / continuous fraction / simple symmetric random walk models, and put forward some open problems and conjectures.
【作者單位】： 復(fù)旦大學(xué)數(shù)學(xué)科學(xué)學(xué)院;
【基金】：國(guó)家自然科學(xué)基金(批準(zhǔn)號(hào):11271077)資助項(xiàng)目
【分類號(hào)】：O211
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本文編號(hào)：2451696