11 2015 档案
On coin-tossing measure
摘要:Suppose that $\{X_i\}$ are i.i.d r.vs with $P(X_i=0)=p, P(X_i=1)=1-p, p\in (0,1).$ Let $X=\sum_{n=1}^\infty\frac{X_n}{2^n}=\sum_{n=1}^\infty Y_n$ and ... 阅读全文
posted @ 2015-11-26 04:38 Jinjun 阅读(203) 评论(0) 推荐(0)
Strong local nondeterminism for fBm
摘要:Let $B^\alpha$ be an $(N,1)$-fractional Brownian motion with index $\alpha\in(0,1).$ Pitt (Local times for Gaussian vector fields, Indiana Univ. Math.... 阅读全文
posted @ 2015-11-19 22:39 Jinjun 阅读(219) 评论(0) 推荐(0)
Erd\H{o}s-R\'enyi Law
摘要:Let $0<p=1-q<1$ and $X_1,X_2,\ldots$ be an i.i.d. Bernoulli sequence with $p=\mathbb{P}(X_i=1)=1-\mathbb{P}(X_i=0)$. Denote by $S_n$ the length of the... 阅读全文
posted @ 2015-11-18 04:39 Jinjun 阅读(178) 评论(0) 推荐(0)