The analogue of Hammersley\u27s theorem on the length of the longest monotonic subsequence of independent, identically, and continuously distributed random variables is obtained for the pseudorandom van der Corput sequence. In this case there is no limit but the precise limits superior and inferior are determined. The constants obtained are closely related to those established in the independent case by Logan and Shepp, and Vershik and Kerov
The generation of pseudorandom numbers plays an important role in many fields of mathematics and phy...
Abstract. Let Ln designate the length of the Longest Common Subsequence of two independent i.i.d. se...
A limit theorem is established for the length of the longest chain of random values in Rd with respe...
The analogue of Hammersley\u27s theorem on the length of the longest monotonic subsequence of indepe...
AbstractThe problems considered here deal with the distribution of the lengths of the longest monoto...
LetLn be the length of the longest increasing subsequence of a random permutation of the numbers 1 ...
In a famous paper [8] Hammersley investigated the length L n of the longest increasing subsequence o...
AbstractLet Ln be the length of the longest increasing subsequence of a random permutation of the nu...
Let $L_n$ be the length of the longest increasing subsequence of a random permutation of the numbers...
Hammersley [7] showed that if X1, X2, . . . is a sequence of independent identically distributed ran...
Let (Xk)k≥1 and (Yk)k≥1 be two independent sequences of inde-pendent identically distributed random ...
AbstractWe investigate measures of pseudorandomness of finite sequences (xn) of real numbers. Maudui...
The expected value of L_n, the length of the longest increasing subsequence of a random permutation ...
Abstract: This paper presents some limit theorems for arbitrary continuous random sequence, like man...
International audienceIn 1935 J.G. van der Corput introduced a sequence which has excellent uniform ...
The generation of pseudorandom numbers plays an important role in many fields of mathematics and phy...
Abstract. Let Ln designate the length of the Longest Common Subsequence of two independent i.i.d. se...
A limit theorem is established for the length of the longest chain of random values in Rd with respe...
The analogue of Hammersley\u27s theorem on the length of the longest monotonic subsequence of indepe...
AbstractThe problems considered here deal with the distribution of the lengths of the longest monoto...
LetLn be the length of the longest increasing subsequence of a random permutation of the numbers 1 ...
In a famous paper [8] Hammersley investigated the length L n of the longest increasing subsequence o...
AbstractLet Ln be the length of the longest increasing subsequence of a random permutation of the nu...
Let $L_n$ be the length of the longest increasing subsequence of a random permutation of the numbers...
Hammersley [7] showed that if X1, X2, . . . is a sequence of independent identically distributed ran...
Let (Xk)k≥1 and (Yk)k≥1 be two independent sequences of inde-pendent identically distributed random ...
AbstractWe investigate measures of pseudorandomness of finite sequences (xn) of real numbers. Maudui...
The expected value of L_n, the length of the longest increasing subsequence of a random permutation ...
Abstract: This paper presents some limit theorems for arbitrary continuous random sequence, like man...
International audienceIn 1935 J.G. van der Corput introduced a sequence which has excellent uniform ...
The generation of pseudorandom numbers plays an important role in many fields of mathematics and phy...
Abstract. Let Ln designate the length of the Longest Common Subsequence of two independent i.i.d. se...
A limit theorem is established for the length of the longest chain of random values in Rd with respe...