supported by the National Natural Science Foundation of China(Nos.11871425,11731012);the Fundamental Research Funds for Central Universities.
Let X1,X2,…,Xn,…be a sequence of i.i.d.random variables uniformly distributed on[0;1],and denote by Ln the length of the longest increasing subsequences of X1,X2,…,Xn.Consider the poissonized version Hn based on Ha...
It is shown that an arbitrary function from D Rn to Rm will become C0,a-continuous in almost every x∈ D after restriction to a certain subset with limit pointx. For n 〉 m differentiability can be obtained. Example...
Supported by National Natural Science Foundation of China (Grant No. 10671176) and Natural Science Foun- dation of Zhejiang Province (Grant No. J20091364)
Let π be a minimal ErdSs-Szekeres permutation of 1, 2,..., n^2, and let ln,k be the length of the longest increasing subsequence in the segment (πr(1),...,π(k)). Under uniform measure we establish an exponent...
Transcription Terminators (TTs) play an impor-tant role in bacterial RNA transcription. Some bacteria are known to have Species-Specific Subsequences (SSS) in their TTs, which are be-lieved containing useful clues to ...